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基于PID控制的一级倒立摆系统的研究

基于PID控制的一级倒立摆系统的研究
基于PID控制的一级倒立摆系统的研究

本科生毕业设计(论文)

论文题目:基于PID控制的一级倒立摆系统的研究

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摘要

本文的研究对象为一级倒立摆系统,主要是基于PID控制的一级倒立摆控制系统的设计。利用PID参数整定的多种方法对PID的三个参数进行调节,并对其优化,然后用利用Matlab对其进行仿真,并对最后仿真图的结果进行分析与比较。

倒立摆是一种典型的非线性、多变量、强耦合、快速的、自然不稳定的系统。在实际生产生活中有很多类似的系统,故研究一级倒立摆系统的PID控制具有很大的实际意义。本文介绍了多种PID参数整定算法,主要采用了的是Z-N整定法,并详细介绍了PID参数整定算法的相关理论和具体操作方法。在本文中还建立了一级倒立摆的数学模型和物理模型。本文着重讲述了Z-N整定法和试凑法对PID三个参数的进行优化的具体方法。用Matlab对一级倒立摆系统进行了仿真,并且比较这些方法的优缺点,对最后的仿真图结果研究和分析。得出PID参数整定方法的优缺点。

关键词: PID控制器参数整定一级倒立摆 Matlab仿真

Abstract

Object of this paper is an inverted pendulum system is mainly based on PID control an inverted pendulum control system design. Use a variety of PID parameter tuning method to adjust the three parameters of PID, and its optimization, and then use them using matlab simulation, and the results of the last simulation diagram analysis and comparison.

Inverted pendulum is a typical non-linear, multi-variable, strong coupling, fast, naturally unstable system. In real life there are a lot of similar production systems, it is of an inverted pendulum system PID control has great practical significance. This article describes a variety of PID parameter tuning algorithm, the main use of the Z-N entire titration, and details of the PID parameter tuning algorithms related theory and specific methods of operation. In this article, also established a mathematical model of the inverted pendulum and physical models. This paper focuses on the ZN Tuning Method for PID and genetic algorithms to optimize the three parameters of specific methods. Using Matlab on an inverted pendulum system is simulated, and compare the advantages and disadvantages of these methods, drawing on the final results of the simulation study and

analysis. Draw two different PID parameter tuning method advantages and disadvantages.

Key words: PID(Proportion Integration Differentiation)controller Parameter tuning An inverted pendulum Matlab simulation

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