Intelligent process control using neural fuzzy techniques 1
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期刊全称JCR期刊简称ISSN所属小类ACM COMPUTING SURVEYS ACM COMPUT SURV0360-0300C OMPUTER SC ACM Transactions on Intelligent Systems and Te ACM T INTEL SYST TEC2157-6904C OMPUTER SC ACM Transactions on Intelligent Systems and Te ACM T INTEL SYST TEC2157-6904C OMPUTER SC ACS Applied Materials & Interfaces ACS APPL MATER INTER1944-8244M ATERIALS S ACS Applied Materials & Interfaces ACS APPL MATER INTER1944-8244N ANOSCIENC ACS Macro Letters ACS MACRO LETT2161-1653P OLYMER SCI ACS Nano ACS NANO1936-0851M ATERIALS S ACS Nano ACS NANO1936-0851C HEMISTRY, MACS Nano ACS NANO1936-0851N ANOSCIENCACS Nano ACS NANO1936-0851C HEMISTRY, P Acta Biomaterialia ACTA BIOMATER1742-7061M ATERIALS S Acta Biomaterialia ACTA BIOMATER1742-7061E NGINEERING ADVANCES IN APPLIED MECHANICS ADV APPL MECH0065-2156E NGINEERING ADVANCES IN APPLIED MECHANICS ADV APPL MECH0065-2156M ECHANICS Advanced Energy Materials ADV ENERGY MATER1614-6832M ATERIALS S Advanced Energy Materials ADV ENERGY MATER1614-6832E NERGY & FU Advanced Energy 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Intelligent Control Systems Intelligent control systems are becoming increasingly popular in today's world, with the rise of automation and smart technologies. These systems are designed to use artificial intelligence (AI) and machine learning (ML) algorithms to control and optimize various processes, from manufacturing and logistics to energy management and building automation. While the benefits of intelligent control systems are numerous, there are also some concerns and challenges that need to be addressed. One of the main advantages of intelligent control systems is their ability to improve efficiency and productivity. By using AI and ML algorithms, these systems can analyze large amounts of data and make real-time decisions based on that analysis. This can lead to faster and more accurate decision-making, which in turn can lead to increased productivity and reduced costs. For example, in a manufacturing plant, an intelligent control system can optimize the production process by adjusting the speed of machines, reducing waste, and minimizing downtime. Another benefit of intelligent control systems is their ability to improve safety and security. By using sensors and cameras, these systems can monitor and detect potential hazards or security threats in real-time. They can also automatically take action to prevent or mitigate these risks, such asshutting down a machine or alerting security personnel. This can help prevent accidents and reduce the risk of theft or other security breaches. However, there are also some concerns and challenges associated with intelligent control systems. One of the main concerns is the potential impact on jobs. As these systems become more advanced and widespread, there is a risk that they could replace humanworkers in certain industries. This could lead to job losses and economic disruption, particularly in industries that rely heavily on manual labor. Another challenge is the potential for these systems to malfunction or be hacked. While intelligent control systems are designed to be secure and reliable, there isalways a risk of technical glitches or cyber attacks. If a system were to malfunction or be hacked, it could cause serious damage or disruption to the processes it controls. This highlights the importance of ensuring that these systems are properly designed, tested, and secured. Another concern is the potential for these systems to be biased or discriminatory. AI and ML algorithmsare only as good as the data they are trained on, and if that data is biased or incomplete, the resulting system could also be biased. This could lead to unfair or discriminatory outcomes, particularly in areas such as hiring, lending, or criminal justice. It is therefore important to ensure that these systems are designed and trained with fairness and inclusivity in mind. In conclusion, intelligent control systems have the potential to revolutionize many industries and improve efficiency, productivity, safety, and security. However, there are also some concerns and challenges that need to be addressed, such as the potential impact on jobs, the risk of malfunctions or cyber attacks, and the potential for bias or discrimination. To ensure that these systems are used responsibly and ethically, it is important to involve a diverse range of stakeholders in the design and implementation process, and to prioritize transparency, accountability, and fairness.。
I.J. Intelligent Systems and Applications, 2013, 06, 78-88Published Online May 2013 in MECS (/)DOI: 10.5815/ijisa.2013.06.10Evaluation Performance of IC Engine: Linear Tunable Gain Computed Torque Controller vs.Sliding Mode ControllerShahnaz Tayebi HaghighiIndustrial Electrical and Electronic Engineering SanatkadeheSabze Pasargad. CO (S.S.P. Co), NO:16 , PO.Code 71347-66773, Fourth floor , Dena Apr , Seven Tir Ave , Shiraz , IranE-mail: SSP.ROBOTIC@Samira SoltaniIndustrial Electrical and Electronic Engineering SanatkadeheSabze Pasargad. CO (S.S.P. Co), NO:16 , PO.Code 71347-66773, Fourth floor , Dena Apr , Seven Tir Ave , Shiraz , IranE-mail: SSP.ROBOTIC@Farzin PiltanIndustrial Electrical and Electronic Engineering SanatkadeheSabze Pasargad. CO (S.S.P. Co), NO:16 , PO.Code 71347-66773, Fourth floor , Dena Apr , Seven Tir Ave , Shiraz , IranE-mail: SSP.ROBOTIC@Marzieh kamgariIndustrial Electrical and Electronic Engineering SanatkadeheSabze Pasargad. CO (S.S.P. Co), NO:16 , PO.Code 71347-66773, Fourth floor , Dena Apr , Seven Tir Ave , Shiraz , IranE-mail: SSP.ROBOTIC@Saeed ZareIndustrial Electrical and Electronic Engineering SanatkadeheSabze Pasargad. CO (S.S.P. Co), NO:16 , PO.Code 71347-66773, Fourth floor , Dena Apr , Seven Tir Ave , Shiraz , IranE-mail: SSP.ROBOTIC@Abstract—Design a nonlinear controller for second order nonlinear uncertain dynamical systems (e.g., internal combustion engine) is one of the most important challenging works. This paper focuses on the comparative study between two important nonlinear controllers namely; computed torque controller (CTC) and sliding mode controller (SMC) and applied to internal combustion (IC) engine in presence of uncertainties. In order to provide high performance nonlinear methodology, sliding mode controller and computed torque controller are selected. Pure SMC and CTC can be used to control of partly known nonlinear dynamic parameters of IC engine. Pure sliding mode controller and computed torque controller have difficulty in handling unstructured model uncertainties. To solve this problem applied linear error-based tuning method to sliding mode controller and computed torque controller for adjusting the sliding surface gain ( ) and linear inner loop gain (). Since the sliding surface gain () and linear inner loop gain () are adjusted by linear error-based tuning method. In this research new and new are obtained by the previous and multiple gains updating factor. The results demonstrate that the error-based linear SMC and CTC are model-based controllers which works well in certain and uncertain system. These controllers have acceptable performance in presence of uncertainty.Index Terms—Internal Combustion Engine, Sliding Mode Controller, Computed Torque Controller, Linear Error-Based Sliding Mode Controller, Linear Error Based Computed Torque ControllerI.IntroductionThe internal combustion (IC) engine is designed to produce power from the energy that is contained in its fuel. More specifically, its fuel contains chemical energy and together with air, this mixture is burned to output mechanical power. There are various types of fuels which can be used in IC engines namely; petroleum, diesel, bio-fuels, and hydrogen [1].Modeling of an entire IC engine is a very important and complicated process because engines are nonlinear, multi inputs-multi outputs (MIMO) and time variant. Controller design is the main parts in this paper as well as the major objectives in the controller design are stability and robustness. One of the significant challenges in control algorithms is design a linear controller for nonlinear systems. When system works with various parameters and hard nonlinearities this technique is very useful in order to be implemented easily but it has some limitations such as working near the system operating point[9]. Some of IC engines which work in industrial processes are controlled by linear controllers, but linear controller design for IC engines is extremely difficult [1- 6]. Computed torque controller (CTC) is a powerful nonlinear controller which it widely used in control of IC engine. It is based on feedback linearization and computes the required arm torques using the nonlinear feedback control law. This controller works very well when all dynamic and physical parameters are known but when the IC engine has variation in dynamic parameters, in this situation the controller has no acceptable performance[7-14]. In practice, most of physical systems (e.g., IC engine) parameters are unknown or time variant, therefore, on-line tuneable gain computed torque controller used to compensate dynamic equation of IC engine[1, 6]. Sliding mode controller (SMC) is one of the influential nonlinear controllers in certain and uncertain systems which are used to solved stability and robustness [10]. The main reason for this popularity is the attractive properties which SMCs have, such as good control performance for nonlinear systems, applicability to MIMO systems and well-established design criteria for discrete-time systems. SMC may employ unnecessarily large control signals to overcome the parametric uncertainties and difficulty in the calculation of what is known as the equivalent control [11-17]. In various dynamic parameters systems that need to be training on-line adaptive control methodology is used. Adaptive control methodology can be classified into two main groups, namely, traditional adaptive method and fuzzy adaptive method [18-22]. Fuzzy adaptive method is used in systems which want to training parameters by expert knowledge. Traditional adaptive method is used in systems which some dynamic parameters are known. In this research in order to solve disturbance rejection and uncertainty dynamic parameter, adaptive method are applied to sliding mode controller and computed torque controller.There have been several engine controller designs over the past 40 years in which the goal is to improve the efficiency and exhaust emissions of the automotive engine. A key development in the evolution was the introduction of a closed loop fuel injection control algorithm by Rivard in the 1973 [2]. This strategy was followed by an innovative linear quadratic control method in 1980 by Cassidy [3] and an optimal control and Kalman filtering design by Powers [4]. Although the theoretical design of these controllers was valid, at that time it was not realistic to implement such complex designs. Therefore, the production of these designs did not exist and engine designers did adopt the methods. Due to the increased production of the microprocessor in the 1990's, it became practical to use these microprocessors in developing more complex control and estimation algorithms that could potentially be used in production automotive engines. Specific applications of A/F ratio control based on observer measurements in the intake manifold was developed by Benninger in 1991 [5]. Another approach was to base the observer on measurements of exhaust gases measured by the oxygen sensor and on the throttle position, which was researched by Onder [6]. These observer ideas used linear observer theory. Hedrick also used the measurements of the oxygen sensor to develop a nonlinear, sliding mode approach to control the A/F ratio [7]. All of the previous control strategies were applied to engines that used only port fuel injections, where fuel was injected in the intake manifold. The development of these control strategies for direct injection was not practical because the production of direct injection automobiles did not begin until the mid 1990's. Mitsubishi began to investigate combustion control technologies for direct injection engines in 1996 [8]. Furthermore, engines that used both port fuel and direct systems appeared a couple years ago, leading to the interest of developing the corresponding control strategies. Current production A/F ratio controllers use closed loop feedback and feed forward control to achieve the desired stoichio metric mixture. These controllers use measurements from the oxygen sensor to control the desired amount of fuel that should be injected over the next engine cycle and have been able to control the A/F very well.Research on computed torque controller is significantly growing on robot manipulator application which has been reported in [1, 6, 15-16]. Vivas and Mosquera [15]have proposed a predictive functional controller and compare to computed torque controller for tracking response in uncertain environment. However both controllers have been used in feedback linearization, but predictive strategy gives better result as a performance. A computed torque control with non parametric regression models have been presented for a robot arm[16]. This controller also has been problem in uncertain dynamic models. Based on [1, 6]and [15-16] computed torque controller is a significant nonlinear controller to certain systems which it is based on feedback linearization and computes the required arm torques using the nonlinear feedback control law.In order to solve the chattering in the systems output, boundary layer method should be applied so beginning able to recommended model in the main motivation which in this method the basic idea is replace the discontinuous method by saturation (linear) method with small neighborhood of the switching surface [11-17, 38-39]. Slotine and Sastry have introducedboundary layer method instead of discontinuous method to reduce the chattering[18]. Estimated uncertainty method is used in term of uncertainty estimator to compensation of the system uncertainties. It has been used to solve the chattering phenomenon and also nonlinear equivalent dynamic. The applications of artificial intelligence, neural networks and fuzzy logic on estimated uncertainty method have been reported in [19-22]. Wu et al. [23] have proposed a simple fuzzy estimator controller beside the discontinuous and equivalent control terms to reduce the chattering. In recent years, artificial intelligence theory has been used in sliding mode control systems. Fuzzy logic controller (FLC) can be used to control nonlinear, uncertain and noisy systems. This method is free of some model-based techniques as in classical controllers. Fuzzy logic provides a method which is able to model a controller for nonlinear plant with a set of IF-THEN rules, or it can identify the control actions and describe them by using fuzzy rules. The applications of artificial intelligence, neural networks and fuzzy logic, on nonlinear systemcontrol have reported in [24-26]. Wai et al. [24-25]have proposed a fuzzy neural network (FNN) optimal control system to learn a nonlinear function in the optimal control law. This controller is divided into three main groups: arterial intelligence controller (fuzzy neural network) which it is used to compensate the system’s nonlinearity and improves by adaptive method, robust controller to reduce the error and optimal controller which is the main part of this controller. Research on applied fuzzy logic methodology in sliding mode controller (FSMC) to reduce or eliminate the high frequency oscillation (chattering), to compensate the unknown system dynamics and also to adjust the linear sliding surface slope in pure sliding mode controller considerably improves the robot manipulator control process [27-28].H.Temeltas [29] has proposed fuzzy adaption techniques for SMC to achieve robust tracking of nonlinear systems and solves the chattering problem. Conversely system’s performance is better than sliding mode controller; it is depended on nonlinear dynamic equation. Investigation on applied sliding mode methodology in fuzzy logic controller (SMFC) to reduce the fuzzy rules and refine the stability of close loop system in fuzzy logic controller has grown specially in recent years as the nonlinear system control [30-33]. Lhee et al. [32]have presented a fuzzy logic controller based on sliding mode controller to more formalize and boundary layer thickness.In various dynamic parameters systems (e.g., IC engine) which need to be training, on-line tunable gain control methodology is used. In this research in order to solve disturbance rejection and uncertainty dynamic parameter, on-line tunable method is applied to artificial sliding mode controller. F Y Hsu et al. [34]have presented adaptive fuzzy sliding mode control which can update fuzzy rules to compensate nonlinear parameters and guarantee the stability robot manipulator controller.This paper is organized as follows: In section 2, main subject of engine operating cycle and detail dynamic formulation of modelling in IC engine, sliding mode controller and computed torque controller are presented. Detail of proposed linear error-based sliding mode controller and linear error based computed torque controller are presented in section 3. In section 4, the simulation result is presented and finally in section 5, the conclusion is presented.II.Theory2.1Dynamic Formulation of IC EngineDynamic modeling of IC engine is used to describe the nonlinear behavior of IC engine, design of model based controller such as pure variable structure controller based on nonlinear dynamic equations, and for simulation. The dynamic modeling describes the relationship between fuel to air ratio to PFI and DI and also it can be used to describe the particular dynamic effects (e.g., motor pressure, angular speed, mass of air in cylinder, and the other parameters) to behavior of system[1].The equation of an IC engine governed by the following equation [1, 4, 25, 29, 43-44]:*+*+[][][ ][][][](1)Where is port fuel injector, is direct injector, is a symmetric and positive define mass of air matrix, is the pressure of motor, is engine angular speed and is matrix mass of air in cylinder. Fuel ratio and exhaust angle are calculated by [25, 29, 43-44]:* ̈+*+ {*+{[][ ][]*+[]}}(2)The above target equivalence ratio calculation will be combined with fuel ratio calculation that will be used for controller design purpose.2.2Sliding Mode Controller:Sliding mode controller (SMC) is a powerful nonlinear controller which has been analyzed by manyresearchers especially in recent years. This theory was first proposed in the early 1950 by Emelyanov and several co-workers and has been extensively developed since then with the invention of high speed control devices[11-17].A time-varying sliding surface is given by the following equation:̃(3) where λ is the constant and it is positive. A simple solution to get the sliding condition when the dynamic parameters have uncertainty is the switching control law:̂⃗(4) Where the switching function of defined as and the ⃗⃗ is the positive constant. Based on above discussion, the control law for an IC engine is written as:(5) Where, the model-based component is compensated the nominal dynamics of systems. Therefore can calculate as follows:[*+[][ ][][][]]*+(6)Figure 1 shows pure sliding mode controller which applied to internal combustion engine.Fig. 1: Block diagram of a variable structure controller: applied to IC engineComputed Torque Controller:The central idea ofComputed torque controller (CTC) is feedbacklinearization so, originally this algorithm is calledfeedback linearization controller. It has assumed that the desired motion trajectory for the manipulator, as determined, by a path planner. Defines the trackingerror as:(7) Where e(t) is error of the plant, is desired input variable, that in our system is desired displacement, is actual displacement. If an alternative linear state-space equation in the form can be defined aṡ*+*+(8)With*+([][ ][][][])*+̂and this is known as the Brunousky canonical form. By equation (7) and (8) the Brunousky canonical form can be written in terms of the state as [1]: * ̇+*+* ̇+*+(9)Witḣ*+ [][ ][]*+[](10)Then compute the required IC engine torques using inverse of equation (10), is;̂*+( )[][ ][]*+[](11)This is a nonlinear feedback control law that guarantees tracking of desired trajectory. Selecting proportional-plus-derivative (PD) feedback for U(t) results in the PD-computed torque controller [6];̂̇*+ [][ ][]*+[](12)and the resulting linear error dynamics arė(13) According to the linear system theory, convergence of the tracking error to zero is guaranteed [6]. Where and are the controller gains. The result schemes is shown in Figure 2, in which two feedback loops, namely, inner loop and outer loop, which an inner loop is a compensate loop and an outer loop is a tracking error loop.Fig. 2: Block diagram of PD-computed torque controller: applied to IC engineThe application of proportional-plus-derivative (PD) computed torque controller to control of IC engine introduced in this research.III.MethodologyLinear error-based tunable gain sliding mode controller:Sliding mode controller has difficulty in handling unstructured model uncertainties. It is possible to solve this problem by combining sliding mode controller and linear error-based tuning method which this method can helps to eliminate the chattering in presence of switching function method and improves th e system’s tracking performance by online tuning method. In this research the nonlinear equivalent dynamic (equivalent part) formulation problem in uncertain system is solved by using on-line linear error-based tuning theorem. In this method linear error-based theorem is applied to sliding mode controller to adjust the sliding surface slope. Sliding mode controller has difficulty in handling unstructured model uncertainties and this controller’s performance is sensitive to sliding surface slope coefficient. It is possible to solve above challenge by combining linear error-based tuning method and sliding mode controller which this methodology can help to improve system’s tracking performance by on-line tuning (linear error-based tuning) method. Based on above discussion, compute the best value of sliding surface slope coefficient has played important role to improve system’s tracking performance especially when the system parameters are unknown or uncertain. This problem is solved by tuning the surface slope coefficient () of the sliding mode controller continuously in real-time. In this methodology, the system’s performance is improved with respect to the pure sliding mode controller. Figure 3 shows the linear error-based tuning sliding mode controller. Based on (5) and (6) to adjust the sliding surface slope coefficient we define ̂| as the linear error-based tuning methodology.Fig. 3: Block diagram of a linear error-based sliding mode controller: applied to IC enginê|(14) If minimum error () is defined by;( | ̂|) (15) Where is adjusted by an adaption law and this law is designed to minimize the error’s parameters of adaption law in linear error-based tuning sliding mode controller is used to adjust the sliding surface slope coefficient. Linear error-based tuning part is a supervisory controller based on the following formulation methodology. This controller has three inputs namely; error change of error ( ̇) and the integral of error (∑) and an output namely; gain updating factor. As a summary design a linear error-based tuning is based on the following formulation:̇∑̇⇒̇∑ ̇(16)⇒∑Where is gain updating factor, (∑) is the integral of error, ( ̇) is change of error, is error and K is a coefficient.Linear error-based tuning computed torque controller: Computed torque controller has difficulty in handling unstructured model uncertainties. It is possible to solve this problem by combining computed torque controller and linear error-based tuning method which this method can helps to eliminate the error and improves the system’s tracking performance by online tuning method. In this research the nonlinear equivalent dynamic (equivalent part) formulation problem in uncertain system is solved by using on-line linear error-based tuning theorem. In this method linear error-based theorem is applied to computed torque controller to adjust the linear inner loop gain. Computed torque controller has difficulty in handling unstructured model uncertainties and this c ontroller’s performance is sensitive to linear inner loop gain. It is possible to solve above challenge by combining linear error-based tuning method and computed torque controller which this methodology can help to improve system’s tracking performance by on-line tuning (linear error-based tuning) method. Based on above discussion, compute the best value of linear inner loop gain has played important role to improve system’s tracking performance especially when the system parameters are unknown or uncertain. This problem is solved by tuning the linear inner loop gain () of the computed torque controller continuously in real-time. In this methodology, the system’s performance is improved with respect to the pure computed torque controller.̂|(17) If minimum error () is defined by;( | ̂|) (18) Where is adjusted by an adaption law and this law is designed to minimize the error’s parameters of adaption law in linear error-based tuning computed torque controller is used to adjust the linear inner loop gain. Linear error-based tuning part is a supervisory controller based on the following formulation methodology. This controller has three inputs namely; error change of error ( ̇) and the integral of error (∑) and an output namely; gain updating factor. As a summary design a linear error-based tuning is based on the following formulation:̇∑⇒ ∑ (19)⇒∑Where is gain updating factor, (∑ ) is the integral of error, ( ̇) is change of error, is error and K is a coefficient.IV. Results and DiscussionTo validate of this work; on-line tuning sliding mode controller and on-line tuning computed torque controller are compared to control and improve the response of IC engine. The simulation was implemented in MATLAB/SIMULINK environment. Fuel ratio response, controller robustness, steady state error and RMS error are compared in these controllers. It is noted that, these systems are tested by band limited white noise with a predefined 10%, 20% and 40% of relative to the input signal amplitude. This type of noise is used to external disturbance in continuous and hybrid systems.Fuel ratio response: Figure 4 is shown the fuel ratio in linear tuning SMC, SMC and linear tuning CTC in certain environment and without disturbance for desired.Fig. 4: LTSMC Vs. LTCTC: fuel ratio responseBy comparing this response, Figure 4, in LTSMC and LTCTC, both of methodologies have identical response. Based on Figure 5 it is observed that, the overshoot in LTSMC is 0%, in PD-SMC’s is 1% and in LTCTC’s is 0%, and rise time in LTSMC’s is 0.6 seconds, i n PD-SMC’s is 0.483 second and in LTCTC’s is about 0.6 seconds. From the trajectory MATLAB simulation for LTSMC, PD-SMC and LTCTC in certain system, it was seen that all of three controllers have acceptable performance.Controller robustness: Figures 5 to 7 show the power disturbance elimination in LTSMC, PD-SMC and LTCTC with disturbance. The disturbance rejection is used to test the robustness comparisons of these three controllers. A band limited white noise with predefined of 10%, 20% and 40% the power of input signal value is applied to the step trajectory. It found fairly fluctuations in trajectory responses.Fig. 5: Desired input, LTSMC, LTCTC and PD-SMC for IC engine trajectory with 10%external disturbanceFig. 6: Desired input, LTSMC, LTCTC and PD-SMC for IC engine trajectory with 20%external disturbanceBased on Figure 5; by comparing response trajectory with 10% disturbance of relative to the input signal amplitude in LTSMC, LTCTC and PD-SMC, LTSMC’s overshoot about (0%) is lower than LTCTC’s (0.5%) and PD-SMC’s (1%). PD-SMC’s rise time (0.5 seconds) is lower than LTCTC’s (0.63 second) and LTSMC’s (0.65 second).Based on Figure 6; by comparing response trajectory with 20% disturbance of relative to the input signal amplitude in LTSMC, LTCTC and PD-SMC, LTSMC’s overshoot about (0%)is lower than LTCTC’s (1.8%) and PD-SMC’s (2.1%).PD-SMC’s rise time (0.5 seconds) is lower than LTCTC’s (0.63 second) and LTSMC’s (0.66 second). Based on Figure 6, it was seen that, LTSMC’s and LTCTC performance are better than PD-SMC because LTSMC and LTCTC can auto-tune the sliding surface slope coefficient and gain as the dynamic IC e ngine parameter’s change and in presence of external disturbance whereas PD-SMC cannot.Fig. 7: Desired input, LTSMC, LTCTC and PD-SMC for IC engine trajectory with 40%external disturbanceBased on Figure 7; by comparing response trajectory with 40% disturbance of relative to the input signal amplitude in LTSMC, PD-SM C and LTCTC, LTSMC’s overshoot about (0%)is lower than LTCTC’s (6%) and PD-SMC’s (8%). PD-SMC’s rise time (0.5 seconds) is lower than LTCTC’s (0.7 second) and LTSMC’s (0.8 second). Based on Figure 8, LTCTC and PD-SMC have moderately oscillation in trajectory response with regard to 40% of the input signal amplitude disturbance but LTSMC has stability in trajectory responses in presence of uncertainty and external disturbance.Steady state error:Figure 8 is shown the error performance in LTSMC, PD- SMC and LTCTC for IC engine. The error performance is used to test the disturbance effect comparisons of these controllers. In this system this time is transient time and this part of error introduced as a transient error. Besides the Steady State and RMS error in LTSMC, LTCTC and PD-SMC it is observed that, error performances in LTSMC (Steady State error =0.9e-12 and RMS error=1.1e-12) are about lower than LTCTC (Steady State error =0.7e-8 and RMS error=1e-7) and PD-SMC’s (Steady State error=1e-8 and RMS error=1.2e-6).Fig. 8: LTSMC, PD-SMC and LTCTC for steady state error without disturbanceThe LTSMC gives significant steady state error performance when compared to LTCTC and PD-SMC. When applied 40% disturbances in LTSMC the RMS error increased approximately 0.0164% (percent of increase the LTSMC RMSerror=), In LTCTC the RMS error increased approximately 6.9% (percent of increase the LTCTC RMSerror=)In PD-SMC the RMS error increased approximately 9.17% (percent of increase the PD-SMC RMS error=).In this part LTSMC, PD-SMC and LTCTC have been comparatively evaluation through MATLAB simulation, for IC engine control.V.ConclusionRefer to the research, a linear tuning sliding mode controller and linear tuning computed torque controller are design and compared with each other and applied to IC engine in presence of structure and unstructured uncertainties. Regarding to the positive points in classical sliding mode controller and computedtorquecontroller in linear tuning on-line methodology, the response is improved. Linear tuning methodology by adding to the sliding mode controller and computed torque controller has covered negative points. This implementation considerably reduces the chattering phenomenon and error in the presence of uncertainties. As a result, this controller will be able to control a wide range of IC engine with a high sampling rates because its easy to implement versus high speed markets. AcknowledgmentThe authors would like to thank the anonymous reviewers for their careful reading of this paper and for their helpful comments. This work was supported by the SSP Research and Development Corporation Program of Iran under grant no. 2012-Persian Gulf-2B. References[1]Heywood, J., “Internal Combustion EngineFundamentals”, McGraw-Hill, New York, 1988. [2]J. G. Rivard, "Closed-loop Electronic FuelInjection Control of the IC Engine," in Society of Automotive Engineers, 1973.[3]J. F. Cassidy, et al, "On the Design of ElectronicAutomotive Engine Controls using linear Quadratic Control Theory," IEEE Trans on Control Systems, vol. AC-25, October 1980. [4]W. E. Powers, "Applications of Optimal Controland Kalman Filtering to Automotive Systems,"International Journal of Vehicle Design, vol.Applications of Control Theory in the Automotive Industry, 1983.[5]N. F. Benninger, et al, "Requirements andPerfomance of Engine Management Systems under Transient Conditions," in Society of AutomotiveEngineers, 1991.[6] C. H. Onder, et al, "Model-Based MultivariableSpeed and Air-to-Fuel Ratio Control of an SIEngine," in Society of Automotive Engineers, 1993.[7]S. B. Cho, et al, "An Observer-based ControllerDesign Method for Automotive Fuel-Injection Systems," in American Controls Conference, 1993, pp. 2567-2571.[8]T. Kume, et al, "Combustion Technologies forDirect Injection SI Engine," in Society of Automotive Engineers, 1996.[9]Frank L.Lewis. Nonlinear dynamics and control,Handbook, pages 51-70. CRC press, 1999. [10]Okyak Kaynak, “Guest Editorial Special Sectionon Computationally Intelligent Methodologies and Sliding-Mode Control”, IEEE TRANSACTIONSON INDUSTRIAL ELECTRONICS, VOL. 48,NO. 1, 2001[11] F. Piltan, et al., "Artificial Control ofNonlinear Second Order Systems Based onAFGSMC," Australian Journal of Basic andApplied Sciences, 5(6), pp. 509-522, 2011.[12]Piltan, F., et al., 2011. Design sliding modecontroller for robot manipulator with artificialtunable gain. Canaidian Journal of pure andapplied science, 5 (2): 1573-1579.[13]Piltan, F., et al., 2011. Design Artificial NonlinearRobust Controller Based on CTLC and FSMC withTunable Gain, International Journal of Robotic andAutomation, 2 (3): 205-220.[14]Piltan, F., et al., 2011. Design MathematicalTunable Gain PID-Like Sliding Mode FuzzyController with Minimum Rule Base, InternationalJournal of Robotic and Automation, 2 (3): 146-156.[15]Piltan, F., et al., 2011. Design of FPGA basedsliding mode controller for robot manipulator, International Journal of Robotic and Automation, 2(3): 183-204.[16]Piltan, F., et al., 2011. A Model Free RobustSliding Surface Slope Adjustment in Sliding ModeControl for Robot Manipulator, World AppliedScience Journal, 12 (12): 2330-2336.[17]Piltan, F., et al., 2011. Design Adaptive FuzzyRobust Controllers for Robot Manipulator, WorldApplied Science Journal, 12 (12): 2317-2329. [18]Slotine, J.J. and S. Sastry, 1983. Tracking controlof non-linear systems using sliding surfaces, withapplication to robot manipulators. InternationalJournal of Control, 38: 465-492.[19]M. Ertugrul and O. Kaynak, "Neuro sliding modecontrol of robotic manipulators," Mechatronics,vol. 10, pp. 239-263, 2000.[20]P. Kachroo and M. Tomizuka, "Chatteringreduction and error convergence in the sliding-mode control of a class of nonlinear systems,"Automatic Control, IEEE Transactions on, vol. 41,pp. 1063-1068, 2002.[21]H. Elmali and N. Olgac, "Implementation ofsliding mode control with perturbation estimation(SMCPE)," Control Systems Technology, IEEETransactions on, vol. 4, pp. 79-85, 2002.[22]J. Moura and N. Olgac, "A comparative studyon simulations vs. experiments of SMCPE," 2002,pp. 996-1000.[23]B. Wu, et al., "An integral variable structurecontroller with fuzzy tuning design for electro-hydraulic driving Stewart platform," 2006, pp. 5-945.。
Theoretical Computer Science 253 (2001) 61{93www。
elsevier。
com/locate/tcsDeveloping a Hybrid Programmable Logic Controller Platform for aFlexible Manufacturing SystemHenning Dierks 1University of Oldenburg,Fachbereich Informatik,Postfach 2503, 2900 Oldenburg,GermanyAbstract:In this article,we present the design and implementation of a flexible manufacturing system (FMS) control platform based on a programmable logic controller (PLC) and a personal computer (PC)—based visual man—machine interface (MMI)and data acquisition (DAS)unit。
The key aspect of an FMS is its flexibility to adapt to changes in a demanding process operation。
The PLC provides feasible solutions to FMS applications, using PC-based MMI/DAS, whereby PLCs are optimized for executing rapid sequential control strategies。
PCs running MMI/DAS front—ends make intuitive operation interfaces,full of powerful graphics and reporting tools. Information from the PC can be distributed through a company’s local area network or web using client—server technologies。
智能控制技术英语In the rapidly evolving world of technology,intelligent control systems have emerged as a crucial link between machines and humans. These systems, powered by advanced algorithms and sensors, enable precise andefficient control of various devices and processes. The integration of artificial intelligence (AI) and machine learning (ML) algorithms into control systems has further revolutionized the field, making it possible to adapt to changing environments and optimize performance in real-time. The core principle of intelligent control technologylies in its ability to process vast amounts of data, learn from past experiences, and make informed decisions. This data-driven approach allows the system to adapt to changesin the environment, predict future outcomes, and adjust its control strategies accordingly. The result is a more responsive, efficient, and reliable system that can handle complex tasks with minimal human intervention.One of the key applications of intelligent control technology is in robotics. Modern robots are equipped with sensors that provide them with a detailed understanding oftheir surroundings. By processing this information through AI and ML algorithms, robots can make split-second decisions about how to interact with their environment, ensuring smooth and efficient movement. This technology has revolutionized fields like manufacturing, where robots can now perform complex tasks with greater precision and speed than ever before.Another area where intelligent control technology has made significant impact is in the field of automation. By integrating AI and ML algorithms into control systems, itis now possible to automate processes that were previously considered too complex or unpredictable. This not only improves efficiency but also reduces the risk of human error, making operations safer and more reliable.However, the rise of intelligent control technology also presents new challenges. As systems become more autonomous, the need for robust safety measures and ethical guidelines becomes paramount. It is crucial to ensure that these systems are designed with safety as a top priority, and that they are capable of making ethical decisions in case of conflicting objectives.Despite these challenges, the future of intelligent control technology looks bright. With advances in AI, ML, and sensor technology, we can expect even moresophisticated control systems that are capable of handling even more complex tasks. As these systems become more pervasive in our daily lives, they will play a crucial role in shaping the future of industry, transportation, healthcare, and beyond.In conclusion, intelligent control technology has emerged as a key driver of innovation in modern society. By bridging the gap between machines and humans, it hasenabled unprecedented levels of precision, efficiency, and autonomy in various fields. While challenges remain, the potential of this technology is vast, and its impact on our future is sure to be profound.**智能控制技术:连接机器与人类的桥梁**在科技飞速发展的时代,智能控制系统已成为机器与人类之间的重要纽带。
神经科学在人工智能中的应用随着人工智能的发展,越来越多的领域开始应用神经科学的相关技术。
由于神经科学将人类思维和行为研究为生物学、物理学、数学等诸多领域的跨学科科学,因此将神经科学应用到人工智能中,可以更好地模拟人类思考和行为的机制。
本文将重点讲述神经科学在人工智能中的应用,包括深度学习、图像识别和语音识别等方面。
一、深度学习深度学习是一种通过对输入数据的分层表示来学习抽象特征的机器学习技术。
该技术依赖于多层神经网络,可以用于自然语言处理、图像处理和语音处理等领域。
利用神经科学的相关研究成果,可以改善深度学习算法的效率和准确性。
比如,神经科学家们在研究大脑时发现,大脑中的神经元之间存在许多复杂的互动关系,这些关系可以用图形来表示。
而在深度学习中,我们也可以使用图形来表示神经网络的结构。
将生物学和机器学习的这些相似之处相结合,可以进一步优化深度学习算法的表现,帮助人工智能更好地学习、理解和分析各种数据。
二、图像识别在人工智能中,图像识别是一个重要的应用领域。
在许多场景下,图像识别可以为人们提供更加方便的服务。
比如,在智能家居中,可以用图像识别技术来辨别家庭成员和领养的宠物。
在工业生产中,可以用图像识别技术来监测机器的运行状态。
利用神经科学研究成果,可以提高图像识别的准确率和速度。
神经科学家们在研究大脑时发现,视觉是一种由多个神经元协同运作的复杂功能。
即使是简单的视觉识别,也涉及到大量的神经元和神经元之间的复杂互动。
因此,将神经科学的相关研究成果应用到图像识别中,可以提高图像识别的准确率。
三、语音识别语音识别也是人工智能领域中的一个重要应用。
随着语音识别技术的不断发展,人们可以用语音来控制家庭设备、操作智能手机等。
利用神经科学研究成果,可进一步提高语音识别的精准度和速度,让人工智能更加智能化和个性化。
神经科学家们在研究大脑时发现,人类的听觉系统是一种非常复杂的生物学系统。
听觉系统中涉及到大量的神经元和义齿环,这些组成可以用来产生特定的声音识别结果。
智能控制系统中英文资料对照外文翻译文献附录一:外文摘要The development and application of Intelligence controlsystemModern electronic products change rapidly is increasingly profound impact on people's lives, to people's life and working way to bring more convenience to our daily lives, all aspects of electronic products in the shadow, single chip as one of the most important applications, in many ways it has the inestimable role. Intelligent control is a single chip, intelligent control of applications and prospects are very broad, the use of modern technology tools to develop an intelligent, relatively complete functional software to achieve intelligent control system has become an imminent task. Especially in today with MCU based intelligent control technology in the era, to establish their own practical control system has a far-reaching significance so well on the subject later more fully understanding of SCM are of great help to.The so-called intelligent monitoring technology is that:" the automatic analysis and processing of the information of the monitored device". If the monitored object as one's field of vision, and intelligent monitoring equipment can be regarded as the human brain. Intelligent monitoring with the aid of computer data processing capacity of the powerful, to get information in the mass data to carry on the analysis, some filtering of irrelevant information, only provide some key information. Intelligent control to digital, intelligent basis, timely detection system in the abnormal condition, and can be the fastest and best way to sound the alarm and provide usefulinformation, which can more effectively assist the security personnel to deal with the crisis, and minimize the damage and loss, it has great practical significance, some risk homework, or artificial unable to complete the operation, can be used to realize intelligent device, which solves a lot of artificial can not solve the problem, I think, with the development of the society, intelligent load in all aspects of social life play an important reuse.Single chip microcomputer as the core of control and monitoring systems, the system structure, design thought, design method and the traditional control system has essential distinction. In the traditional control or monitoring system, control or monitoring parameters of circuit, through the mechanical device directly to the monitored parameters to regulate and control, in the single-chip microcomputer as the core of the control system, the control parameters and controlled parameters are not directly change, but the control parameter is transformed into a digital signal input to the microcontroller, the microcontroller according to its output signal to control the controlled object, as intelligent load monitoring test, is the use of single-chip I / O port output signal of relay control, then the load to control or monitor, thus similar to any one single chip control system structure, often simplified to input part, an output part and an electronic control unit ( ECU )Intelligent monitoring system design principle function as follows: the power supply module is 0~220V AC voltage into a0 ~ 5V DC low voltage, as each module to provide normal working voltage, another set of ADC module work limit voltage of 5V, if the input voltage is greater than 5V, it can not work normally ( but the design is provided for the load voltage in the 0~ 5V, so it will not be considered ), at the same time transformer on load current is sampled on the accused, the load current into a voltage signal, and then through the current - voltage conversion, and passes through the bridge rectification into stable voltage value, will realize the load the current value is converted to a single chip can handle0 ~ 5V voltage value, then the D2diode cutoff, power supply module only plays the role of power supply. Signal to the analog-to-digital conversion module, through quantization, coding, the analog voltage value into8bits of the digital voltage value, repeatedly to the analog voltage16AD conversion, and the16the digital voltage value and, to calculate the average value, the average value through a data bus to send AT89C51P0, accepted AT89C51 read, AT89C51will read the digital signal and software setting load normal working voltage reference range [VMIN, VMAX] compared with the reference voltage range, if not consistent, then the P1.0 output low level, close the relay, cut off the load on the fault source, to stop its sampling, while P1.1 output high level fault light, i.e., P1.3 output low level, namely normal lights. The relay is disconnected after about 2minutes, theAT89C51P1.0outputs high level ( software design), automatic closing relay, then to load the current regular sampling, AD conversion, to accept the AT89C51read, comparison, if consistent, then the P1.1 output low level, namely fault lights out, while P1.3 output high level, i.e. normal lamp ( software set ); if you are still inconsistent, then the need to manually switch S1toss to" repair" the slip, disconnect the relay control, load adjusting the resistance value is: the load detection and repair, and then close the S1repeatedly to the load current sampling, until the normal lamp bright, repeated this process, constantly on the load testing to ensure the load problems timely repair, make it work.In the intelligent load monitoring system, using the monolithic integrated circuit to the load ( voltage too high or too small ) intelligent detection and control, is achieved by controlling the relay and transformer sampling to achieve, in fact direct control of single-chip is the working state of the relay and the alarm circuit working state, the system should achieve technical features of this thesis are as follows (1) according to the load current changes to control relays, the control parameter is the load current, is the control parameter is the relay switch on-off and led the state; (2) the set current reference voltage range ( load normal working voltage range ), by AT89C51 chip the design of the software section, provide a basis for comparison; (3) the use of single-chip microcomputer to control the light-emitting diode to display the current state of change ( normal / fault / repair ); specific summary: Transformer on load current is sampled, a current / voltage converter, filter, regulator, through the analog-digital conversion, to accept the AT89C51chip to read, AT89C51 to read data is compared with the reference voltage, if normal, the normal light, the output port P.0high level, the relay is closed, is provided to the load voltage fault light; otherwise, P1.0 output low level, The disconnecting relay to disconnect the load, the voltage on the sampling, stop. Two minutes after closing relay, timing sampling.System through the expansion of improved, can be used for temperature alarm circuit, alarm circuit, traffic monitoring, can also be used to monitor a system works, in the intelligent high-speed development today, the use of modern technology tools, the development of an intelligent, function relatively complete software to realize intelligent control system, has become an imminent task, establish their own practical control system has a far-reaching significance. Micro controller in the industry design and application, no industry like intelligent automation and control field develop so fast. Since China and the Asian region the main manufacturing plant intelligence to improve the degree of automation, new technology to improve efficiency, have important influence on the product cost. Although the centralized control can be improved in any particular manufacturing process of the overall visual, but not for those response and processingdelay caused by fault of some key application.Intelligent control technology as computer technology is an important technology, widely used in industrial control, intelligent control, instrument, household appliances, electronic toys and other fields, it has small, multiple functions, low price, convenient use, the advantages of a flexible system design. Therefore, more and more engineering staff of all ages, so this graduate design is of great significance to the design of various things, I have great interest in design, this has brought me a lot of things, let me from unsuspectingly to have a clear train of thought, since both design something, I will be there a how to design thinking, this is very important, I think this job will give me a lot of valuable things.中文翻译:智能控制系统的开发应用现代社会电子产品日新月异正在越来越深远的影响着人们的生活,给人们的生活和工作方式带来越来越大的方便,我们的日常生活各个方面都有电子产品的影子,单片机作为其中一个最重要的应用,在很多方面都有着不可估量的作用。
Intelligent process control using neural fuzzy techniquesChyi-Tsong Chen*,Shih-Tein PengDepartment of Chemical Engineering,Feng Chia University,Taichung 407,TaiwanAbstractIn this paper,we combine the advantages of fuzzy logic and neural network techniques to develop an intelligent control system for processes having complex,unknown and uncertain dynamics.In the proposed scheme,a neural fuzzy controller (NFC),which is constructed by an equivalent four-layer connectionist network,is adopted as the process feedback controller.With a derived learning algorithm,the NFC is able to learn to control a process adaptively by updating the fuzzy rules and the membership functions.To identify the input±output dynamic behavior of an unknown plant and therefore give a reference signal to the NFC,a shape-tunable neural network with an error back-propagation algorithm is implemented.As a case study,we implemented the proposed algorithm to the direct adaptive control of an open-loop unstable nonlinear CSTR.Some important issues were studied extensively.Simulation comparison with a conventional static fuzzy controller was also performed.Extensive simulation results show that the proposed scheme appears to be a promising approach to the intelligent control of complex and unknown plants,which is directly operational and does not require any a priori system information.#1999Elsevier Science Ltd.All rights reserved.Keywords:Intelligent process control;Neural fuzzy design techniques;Nonlinear unstable CSTR1.IntroductionConventional control theory is well suited for appli-cations where the processes can be reasonably described in advance.However,when the plant's dynamics is hard to characterize precisely or is subject to environmental uncertainties,one may encounter di culties in apply-ing the conventional controller design methodologies.Despite of the di culty in achieving high control per-formance,the ®ne-tuning of controller parameters is a tedious task that always requires experts with knowl-edge both in control theory and process information.Therefore,in recent years the control of systems with complex,unknown and uncertain dynamics has become a topic of considerable importance in the literature and several advanced strategies have been developed [1±3].Fuzzy logic control (FLC)has been suggested as an alternative approach for process systems in the presence of complex dynamics.Much progress has been made in both the theoretical research and the implementation to industrial control systems [4±6].Basically,the FLC techniques represent a means of both collecting humanknowledge and expertise and dealing with nonlinearities.However,the FLC techniques su er from problems such as (1)the derivation of fuzzy control rules is often time consuming and di cult;(2)the system perfor-mance relies signi®cantly on so-called process experts who may not be able to transcribe their knowledge into the requisite rule form;(3)there exists no formal fra-mework for the choice of the parameters of a fuzzy control system;(4)the static fuzzy controller has no mechanisms for adapting to real-time plant change.From a practical point of view,these di culties may inhibit the applicability of the fuzzy logic control under stringent conditions [3].To overcome the above-mentioned drawbacks,there is a growing interest in bringing the learning abilities of the neural networks to automate and realize the design of fuzzy logic control systems [7±13].Three categories of approaches have been proposed in the literature [14].Among them,one of the most popular approaches is to install the fuzzy logical system in architecture iso-morphic to the neural networks.In other words,special-type multi-layer neural networks,which are often called the fuzzy neural networks [15],are used to perform a function equivalent to the fuzzy logical system.A basic design concept of the fuzzy neural network based control system is the ®rst to use structurelearningJournal of Process Control 9(1999)493±5030959-1524/99/$-see front matter #1999Elsevier Science Ltd.All rights reserved.PII:S0959-1524(99)00014-1*Corresponding author.Tel.:+886-4-4517250,ext.3691;fax:+886-4-451-0890.E-mail address :ctchen@.tw (C.-T.Chen)algorithm to®nd appropriate fuzzy logic rules from sample data and then use parameter learning algorithm for the re®nement of the membership functions and other parameters.In principle,the combination of techniques from these two®elds reaps the bene®ts of both neural networks and fuzzy logical systems.The neural networks provide the connectionist structure (fault tolerance and distributed representation proper-ties)and learning ability to the fuzzy logical systems;the fuzzy logical systems provide a structural framework with high-level fuzzy IF±THEN rule thinking and rea-soning to the neural networks.This synergistic integra-tion of neural networks and fuzzy logical systems provides a new direction toward the realization of intelligent system for diverse®elds[12].In this paper we propose a novel and systematic neural fuzzy control system for the intelligent control of chemical processes having complex,unknown and uncertain dynamics.The designed fuzzy logical con-troller,which is called the neural fuzzy controller(NFC) throughout this paper,is implemented using an equiva-lent four-layered connectionist network.With a derived learning algorithm,the NFC is able to identify fuzzy rules of the controlled plant and has the capability of tuning membership functions automatically by merely observing the process output errors.To identify the input±output dynamic behavior of an unknown plant and therefore provide a reference signal for on-line tuning of the NFC,a shape-tunable neural network (MNN)[16]with an error back-propagation algorithm is implemented.The applicability and e ectiveness of the proposed scheme were demonstrated through the challenge problem of controlling a nonlinear and open-loop unstable CSTR.Some important issues of imple-menting the proposed scheme were studied.Further-more,extensive simulation comparisons of the proposed scheme with a conventional static fuzzy control system was also performed.2.An intelligent control system for complex processes 2.1.The control system structureThe proposed intelligent control system is schemati-cally shown in Fig.1,where a neural fuzzy controller (NFC)is adopted as the process feedback controller. The error and change-of-error terms,generating by the comparison of the process output with the desired setpoint,are mapping through a hyperbolic tangent function before feeding into the NFC.More precisely, the inputs to the NFC are obtained through the mappings of x1 1Àexp À 1e a 1 exp À 1e and x2 1Àexp À 2ce a 1 exp À 2ce ,where 1and 2are the pre-speci®ed parameters governing the slope of the hyperbolic tangent function.This e ort ensures the universe of discourse to lie in the range of[À1,1], which can facilitate the design of the neural fuzzy control system.Another important part in the scheme is the MNN-based estimator,which is designed to identify the input±output dynamic behavior of a controlled plant so as to provide a reference signal for the NFC parameter tuning.For completeness,in what follows we describe the proposed scheme through individual parts.2.2.The NFC and its associated learning algorithm2.2.1.The NFC structureFig.2depicts the NFC structure,which is a four-layer feedforward connectionist network to realize a simpli®ed Takagi and Sugeno's fuzzy inference system [17].The NFC,in essence,integrates the basic elements and functions of a conventional FLC(membership functions,fuzzy logic rules,fuzzi®cation,defuzzi®ca-tion,and fuzzy implication)into a connectionist struc-ture that has distributed learning ability to learn the membership functions and fuzzy logic rules.Let each input have n terms for fuzzy partition,that is,each input has n membership functions,then the input±output relations between layers are stated precisely as follows: .Layer1:Input layerThe input units in this layer are the transformed process output error x1and the transformed change-of-error x2,and the output nodes just494 C.-T.Chen,S.-T.Peng/Journal of Process Control9(1999)493±503transmit these input values to the next layer.For clarity of presentation,we express the input layer by snput unitXI 1 i x i Yi 1Y 2yutput unitX O 1 ij I 1i Y i 1Y 2Yj 1Y 2Y F F F Y n.Layer 2:Linguistic term layerThis layer receives the signals from the input layer and uses a Gaussian function as a member-ship function to determine the relative contributionof the observed signals.Thus,the input±outputrelationship of this layer is de®ned as follows:snput unitsXI 2 ijÀO 1 ij Àa ij22ijY i 1Y 2Yj 1Y 2Y F F F Y nyutput unitsX O 2 ij "A ij exp I 2ij Yi 1Y 2Yj 1Y 2Y F F F YnFig.1.The schematic diagram of the proposed neural fuzzy controlsystem.Fig.2.The structure of the proposed neural fuzzy controller.C.-T.Chen,S.-T.Peng /Journal of Process Control 9(1999)493±503495where a ij and b ij are,respectively,the center and the width parameters of the Gaussian function..Layer3:Rule layerLayer3implements the links relating precondi-tions to consequences.The connection criterion is that each rule node has only one antecedent link from a linguistic variable.Hence,we havesnput unitsX I 3 jÀ1 n l o 2 1j o 2 2l Y j 1Y2Y F F F Y n Yl 1Y2Y F F F Y nyutput units X o 3 i "i I 3 i Y i 1Y2Y F F F Y m n2.Layer4:Output layerAll consequence links are fully connected to the output nodes and are interpreted directly as the strength of the output action.This layer performs centroid defuzzi®cation to obtain the inference output,that issnput unitX I 4mp 1o 3 p w pyutput unitX o 4 uÃI 4 mp 1o 3 pApparently,the NFC presented is equivalent to a simpli®ed fuzzy inference system[17],where layers1 and2correspond to the antecedent part of the fuzzy control rules,and the layers3and4correspond to the conclusion part.2.2.2.A learning algorithm for the NFC parameter updatingOnce an NFC has been constructed,the learning aims at determining appropriate values for the parameters of the Gaussian(membership)functions,a ij and b ij,and the linking weights w j.The adjustment of these para-meters can be divided into two tasks,corresponding to the IF(antecedent)part and THEN(consequence)part of the fuzzy logic rules.In the antecedent part,we need to initialize the center and width for Gaussian functions. Since the®nal performance will depend mainly on learning and the universe of discourse normally lies in the range of[À1,1],we choose normal fuzzy sets in this paper.In the consequence part,the parameters are the linking weights(the output singletons).In general,by either extracting from process operating data or from available expert knowledge these initial singletons can be set accordingly.For the case that the process infor-mation and/or expert knowledge are unavailable or incomplete,one convenient method is to initialize these values randomly,as in the pure neural networks[13]. Instead of using random numbers,we suggest in this paper to initialize these singletons using Table1.It should be mentioned that the contents in Table1,which contains m(m n2and n 2N 1)fuzzy rules,are the normalized fuzzy singletons extracted from our experi-ences.These initial settings can generally give more meaningful and stable starting than that of using ran-dom numbers.After the initialization process,a gra-dient-descent-based back-propagation algorithm is employed to adjust the controller parameters.Based on minimizing the error function of E 12y dÀy 2,the NFC parameters can be updated by w) k 1 w) k Àd Ed w)Áw) k I a ij k 1 a ij k Àd Ed a ijÁa ij k PTable1The suggested initial linking weights for the proposed control system496 C.-T.Chen,S.-T.Peng/Journal of Process Control9(1999)493±503andb ij k 1 b ij k Àd Ed b ijÁb ij k Qfor ) 1Y 2Y F F F Y m ,i 1Y 2and j 1Y 2Y F F F Y n ,whereÁ1 k is de®ned by Á1 k 1 k À1 k À1 .In theupdating rules,the gradients d Ed w )and d E d a 1jcan be derived respectively byd E d w ) d E d y d y d u Ãd u Ãd w ) À y d Ày d y d u Ão 3 jm p 1o 3 pRandd E d a 1jd E d y d y d u à nl 1d u Ãd o 3j À1 n 1d o 3 j À1 n 1d o 2 1j d o 2 1j d I 2 1j d I 2 1jd a 1j À y d Ày d y d u Ã2 o 1 1j Àa 1j o 2 1j b 2 1j m p 1o 3 p 2 nl 1o 2 2l w j À1 n 1m p 1o 3p Àm p 1o 3p w p 23Y j 1Y 2Y F F F Y nSAlso,in a similar way,the required gradients d Ed a 2j ,d E d b 1jand d Ed b 2j can be obtained byd E d a 2j À y d Ày d y d u Ã2 o 1 2j Àa 2j o 2 2j b 22j m p 1o 3 p nl 1o 21l w l À1 n j m p 1o 3 p Àm p 1o 3p w p 23Y j 1Y 2Y F F F Y nTd E d b 1j À y d Ày d y d u Ã2 o 1 1j Àa 1j 2o 2 1j b 31j m p 1o 3 p nl 1o 22l w j À1 n l m p 1o 3 p Àm p 1o 3p w p 23Y j 1Y 2Y F F F Y nUandd E d b 2j À y d Ày d y d u Ã2 o 1 2j Àa 2j 2o 2 2j b 32j m p 1o 3 p 2 nl 1o 21l w l À1 n jm p 1o 3 p À m p 1o 3p w p 23Y j 1Y 2Y F F F Y nVThe only unknown in the proposed learning algorithmis d y ad u ÃÐthe gradient of the system output with respect to the control ually,this gradient depends on the operating point and cannot be deter-mined exactly,especially in a noisy and/or uncertain environment.To provide this gradient information,many schemes in the literature can be utlilized [18±20].In this paper,however,we attempt to develop an on-line gradient estimator based on using a shape-tunable neural network (MNN)[16].2.2.3.An MNN-based estimator and its associated learning algorithmThe feedforward MNN model,which is used to esti-mate the value of d y ad u Ã,is depicted in Fig.3.The input±output relationships of a three-layer MNN are de®ned as follows [16]:snput l yer X S 1jy k Àj 1 Y 14j 4qu k Àj q 1 Y q 14j 4m 1&Fig.3.The MNN-based estimator.C.-T.Chen,S.-T.Peng /Journal of Process Control 9(1999)493±503497ridden l yerX net 2im 1j 1~w2ij S 1j ~ 2i Y i 1Y 2Y F F F Y m 2S 2i 1Àe Ànet 2i1 e Ànet 2iY i 1Y 2Y F F F Y m 2yutput l yerX net 3m 2i 1~w3i S 2i ~ 3Y y~a 1Àe Ànet 3 1 e Ànet 3where m 1and m 2are,respectively,the numbers of inputand hidden layer nodes,and yis the MNN output.To enable the MNN to emulate the dynamic behavior of the plant and therefore to provide the required gradient information,a gradient-descent-based back-propaga-tion algorithm is also employed for parameter updating.Based on minimizing the error function of~E 12y À y 2,we have the updating rules for the MNN as follows:~w2ij k 1 ~w 2ij k ~ y À y 3~w 3i 2i S 1j ~ Á~w 2ij k W~w3i k 1 ~w 3i k ~ y À y 3S 2i ~ Á~w 3i k IH ~2i k 1 ~ 2i k ~ y À y 3~w 3i 2i ~ Á~ 2i k II ~ 3 k 1 ~ 3 k ~ y À y 3 ~ Á~ 3 k IPand~ak 1 ~a k ~ y À y y~a ~ Á~a k IQ where 2i and 3are given by 2i 12 1ÀS 2i 1 S 2iIR and3 12~a 1À y ~a 1y ~aISHere,it should be noted that the shape parameter of theoutput layer,~a,is adjusted along with the interconnec-tion weights and the bias.This e ort,allowing the output range of the MNN to be adjusted automatically,avoids the scaling procedure and prevents the MNN from saturation [16].After the MNN has been trained toemulate the plant,we have y%y .This means that d y ad u Ãcan be approximated by d yad u Ã.Consequently,by using the input±output relationships of the MNN,we get the required gradient information for the NFC as follows:d y d u Ã%d y d u Ãd y d net 3 m 2i 1d net 3d S 2i d S 2i d net 2i d net 2i d S 1Y q 1d S 1Y q 1d u Ã3K 3m 2i 1~w3i 2i ~w 2Y i Y q 1 IT3.A case study:controlling an open-loop unstablenonlinear CSTRIn the previous section,we have developed an intelli-gent control system for complex and unknown plants.For learning from process output errors,associated parameter tuning algorithms have been derived.To demonstrate the applicability and e ectiveness of the proposed scheme,in this section we shall implement the proposed scheme to the intelligent control of a non-linear CSTR.The comparison of the proposed scheme with a conventional static fuzzy logical controller will also be presented.The dynamic equations of the non-linear CSTR are given by [21] ~xÀ~x 1 D a 1À~x 1 exp ~x 21 ~x2a9IU~x2 À 1 ~x 2 BD a 1À~x 1 exp ~x 21 ~x2a9u IU where ~x1and ~x 2represent,respectively,the dimension-less reactant concentration and reactor temperature.The control input u is the dimensionless cooling jacket temperature.The physical parameters in the CSTR model equa-tions are D a ,9,B and which correspond to the Damkhler number,the activated energy,heat of reac-tion and heat transfer coe cient,respectively.Based on the nominal values of system parameters,D a 0X 072,9 20,B 8,and 0X 3,the open-loop CSTR exhi-bits three steady states ~x1Y ~x 2 A 0X 144Y 0X 886 , ~x1Y ~x 2 B 0X 445Y 2X 750 and ~x 1Y ~x 2 C 0X 765Y 4X 705 ,where the upper and lower steady states ~x1Y ~x 2 A and ~x1Y ~x 2 C are stable,whereas the middle one, ~x 1Y ~x 2 B ,is unstable [21].The control objective is to bring the non-linear CSTR from the stable equilibrium point ~x1Y ~x 2 A to the unstable one ~x1Y ~x 2 B .All of the results presented are based on reactor temperature ~x2control,that is y t ~x2 t .It is important to emphasize that the plant model (17)is merely used for the simulation of the498 C.-T.Chen,S.-T.Peng /Journal of Process Control 9(1999)493±503dynamics of the CSTR and is completely unknown to the NFC.In implementing the proposed scheme to this unstable CSTR,the structure of the NFC is arbitrary chosen to be of 2-14-49-1.In other words,each of the two input variables has seven linguistic variables (seven parti-tions),say {NB,NM,NS,ZO,PS,PM,PB},where terms NB,NM,F F F ,and PS are the abbreviations for the commonly used names of ``negative big'',``negative medium'',F F F ,and ``positive small'',respectively.The initial linking weights w j 0 are listed in Table 2,which was obtained from Table 1for n 7 N 3 .The initial membership function parameters are chosen normally as a i 1 0 Y a i 2 0 Y F F F Y a i 7 0 À1Y À23Y À13Y 0Y 13Y 23Y 1ÂÃand b ij 0 0X 25,for i 1Y 2and j 1Y 2Y F F F Y 7to cover the universe of discourse [À1,1]uniformly.The struc-ture of the MNN is selected to be of 4-5-1,that is q 2,m 1 4and m 2 5.The initial values of the MNNparameters,~w2ij ,~w 3i ,~ 2i and ~ 3,are selected randomly in the range of À0.01and 0.01,and the initial shape para-meter of the activated function in the output layer ischosen as ~a0 1,which is of the same shape as the activated function used in the hidden layer.The learningrate ~of 0.3is set for the MNN-based estimator and the momentum parameters are set to 0and ~0X 01for the controller and the estimator,respectively.Besides,the NFC parameters used are 1Y 2 10Y 0X 01 ,K 3 5and 0X 8.Having the previous preparations,we are ready to investigate the following issues:3.1.The e ects of sampling interval on system performanceThe e ect of the sampling time on performance of the proposed scheme is ®rst examined.Fig.4depicts thesimulation results of the process outputs,produced control inputs and the performance of the estimator for designated sampling times.From this ®gure,it is observed that the performance of the MNN-based esti-mator can be improved by reducing the sampling inter-val.Also observed is that a high-performance estimator can result in generating aggressive control inputs and in turn accelerating the control system response.However,Table 2The initial linking weights for the open-loop unstable CSTR (seven segments)Fig.4.The e ects of sampling interval on system performance.C.-T.Chen,S.-T.Peng /Journal of Process Control 9(1999)493±503499an extremely small sampling interval would lead to an oscillatory transient response,which may be undesirable and would require powerful computation ability.In our numerical experiments,the sampling interval represents a trade o between the speed of the transient response and the level of oscillation.As to this nonlinear and open-loop unstable CSTR,the suitable sampling inter-val may be in the range of[0.05,0.5].Based on these results,we use a sampling interval of0.1min for the later simulation studies.3.2.Parameter uncertaintiesAs previously stated,the performance of a conven-tional fuzzy logical controller(FLC)relies on the fuzzy rules that transcribed by experts.Fig.5shows that the performance of the FLC is comparable to the proposed scheme when the fuzzy rules are carefully chosen.To explore the plant uncertainty on the essential behavior of the control system,we assume that,after5min of operation,the values of the heat transfer coe cient, , and heat of reaction,B,are suddenly changed to0.35 and7.5,respectively.Fig.6shows obviously that,under the in¯uence of the parameter uncertainties,a large o set exists as the conventional FLC without modify-ing its rule base was applied.The reason for this is that the static FLC control system has no mechanism for adaptation to the real-time change.It therefore loses the ability to reject the sudden parameter variations exactly. In contrast,the proposed scheme has the ability of learning from the observed process output error by updating the fuzzy rules.As a result,the plant uncer-tainties were e ectively accommodated and an o set-free control performance was obtained.3.3.Unmeasured disturbance rejectionThe next issue to be examined is the disturbance rejection ability.For simulation,we assume that there exists a step feed temperature disturbance of amplitude 0.5,which was adding in the right hand side of the dynamic Eq.(17b)after5min.It is noted that the dis-turbance is assumed unmeasured and is completely unknown to the control system.The closed-loop response to this unmeasured disturbance was depicted in Fig.7.It can be seen from this®gure that the dis-turbance rejection ability by the NFC is very excellent, whereas the conventional FLC equipped with the ori-ginally unmodi®ed rule base is unable to bring the sys-tem back to the unstable operating point.Based on the above simulation results,the advantages of the pro-posed neural fuzzy control scheme over the conven-tional static fuzzy logic control strategy areevident.parison of the proposed scheme with a conventional fuzzycontrol system.The upper graph compares the system performance,whereas the lower one compares the produced controlinput.parison of the proposed scheme with a conventional fuzzycontrol system in the presence of parameter uncertainties.The uppergraph compares the system performance,whereas the lower one com-pares the produced control input.500 C.-T.Chen,S.-T.Peng/Journal of Process Control9(1999)493±5033.4.Handling hard input constraintTo have a further demonstration,we assume that there exists actuator saturation between the controller and the nonlinear CSTR.It is well known that the pro-blem of input hard constraints caused by the actuator saturation is presented in almost every chemical process.The presence of the input saturation will impose an extra nonlinearity on system.To examine the ability of the control system in handling this situation,we assume that the control input is constrained to lie in the range of [À2,2].The simulation results in Fig.8shows clearly that the proposed control strategy works well in the face of hard input constraint.The control input produced from the NFC switches between its extreme bounds initially to give a fast transient response and soon con-verges to its ®nal value.However,the static FLC was su ered from the existing extra nonlinearity,where a large o set is observed.3.5.Measurement noise and measurement delay Fig.9illustrates that the proposed scheme has the ability in handling the additional measurement delay,even though the delay was not taken into consideration in the design of the NFC control system.In contrast,the performance of the static FLC wassigni®cantlyparison of the proposed scheme with a conventional fuzzy control system in the face of unmeasured disturbance.The upper graph compares the system performance,whereas the lower one com-pares the produced controlinput.parison of the proposed scheme with a conventional fuzzy control system in the face of hard input constraint.The upper graph compares the system performance,whereas the lower one compares the produced controlparison of the proposed scheme with a conventional fuzzy control system in the presence of measurement delay.The upper graph compares the system performance,whereas the lower one compares the produced control input.C.-T.Chen,S.-T.Peng /Journal of Process Control 9(1999)493±503501a ected by the measurement delay,leading to an oscil-latory system output.Finally,the e ect of measurement noise on the control performance was evaluated.Tem-perature measurement noise was simulated by adding zero mean random numbers with standard deviation of 0.01.Fig.10shows that in the presence of the relatively large measurement noise,the proposed control scheme can still easily bring the nonlinear CSTR to its unstable equilibrium point and remain there.4.ConclusionsIn this paper,an intelligent control strategy has been proposed for the direct adaptive control of chemical processes in the presence of unknown dynamics,non-linearities and/or uncertainties.The main idea of the present approach is to combine the advantages of the fuzzy logic and neural network techniques.The fuzzy inference system,which is used to generate the appro-priate control inputs,is implemented with an equivalent connectionist network.With a derived learning algo-rithm,the fuzzy rules and membership functions are updated adaptively by merely observing the process output error.A shape-tunable neural network with back-propagation algorithm has been suggested as the estimator that is able to provide a reference signal to the controller.The e ectiveness and applicability of the proposed scheme have been demonstrated through thechallenge problem of controlling a nonlinear and open-loop unstable CSTR.Extensive comparisons of the proposed scheme with a static fuzzy controller have also been performed.Simulation results show that the proposed scheme is directly operational and does not require any a priori process information.Besides,the proposed scheme overcomes some substantial di culties arising from the conventional static fuzzy control systems,mainly due to its learning ability.It should also be mentioned that there is no real time constraintsÐcompared with the conventional PID controllers,where a constant sam-pling time must be guaranteed.In contrast,the pro-posed scheme can make e cient use of the available computing power.Despite of these advantages,some practical problems concerning with the implementation of the proposed neural fuzzy intelligent control scheme should be considered.Certainly,an intelligent control system using direct control by error back propagation can be very sensitive to dynamic properties of the plant.Also,it has been found that the performance of the MNN-based estimator depends heavily on the sampling time as well as the initial parameter values.Never-theless,the proposed intelligent control technique appears to be a promising approach for complex pro-cesses that cannot be controlled by conventional ones in a satisfactory manner.A detail investigation of the sta-bility issues of the proposed scheme was beyond the scope of this paper and should be preserved for future work.AcknowledgementsThe authors wish to acknowledge the valuable remarks and suggestions made by the reviewers.The ®nancial support from the National Science Council of the Republic of China under Grant NSC84-2214-E-035-005is also acknowledged.References[1]B.W.Bequette,Nonlinear control of chemical processes:areview,Ind.Eng.Chem.Res.30(1991)1391±1398.[2]D.E.Seborg,A perspective on advanced strategies for processcontrol,Modeling,Identi®cation and Control 15(1994)179±189.[3]G.Stephanopoulos,C.Han,Intelligent systems in process engi-neering:a review,Computers Chem.Engng.20(1996)743±791.[4]M.Sugeno,Industrial Applications of Fuzzy Control,ElsevierScience,New York,1985.[5]K.Tanaka,M.Sugeno,Stability analysis and design of fuzzycontrol systems,Fuzzy Sets and Systems 45(1992)135±156.[6]Y.L.Huang,L.T.Fan,A fuzzy-logic based approach to buildinge cient fuzzy rule based expert system,Computers Chem.Engng.17(1993)181±192.[7]J.S.Jang,Self-learning fuzzy controllers based on temporal backpropagation,IEEE Trans.Neural Network 3(1992)723±741.Fig.10.The performance of proposed scheme in the presence of measurement noise.502 C.-T.Chen,S.-T.Peng /Journal of Process Control 9(1999)493±503。