一维模糊PID结构分析

杜欣; 谭民

引用本文:	杜欣, 谭民.一维模糊PID结构分析[J].控制理论与应用,2004,21(2):221~225.[点击复制]
	DU Xin, TAN Min.Analysis of the structure of one-input fuzzy PID[J].Control Theory and Technology,2004,21(2):221~225.[点击复制]

一维模糊PID结构分析

Analysis of the structure of one-input fuzzy PID

摘要点击 1786 全文点击 1656 投稿时间：2002-10-10 修订日期：2003-06-02

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DOI编号 10.7641/j.issn.1000-8152.2004.2.014

2004,21(2):221-225

中文关键词 PID 圆判据非线性

英文关键词 PID circle criteria nonlinear

基金项目

作者	单位
杜欣, 谭民	中国科学院自动化研究所复杂系统与智能科学实验室,北京 100080

中文摘要

介绍一种新型的模糊PID控制器的结构,该结构为一维输入并使用三条模糊规则的模糊控制器.分析其非线性的特征,并在其基础上用线性化的方法分析了一维模糊PID控制器的非线性增益品质,提出了将非线性曲线分段线性化的方法模拟非线性特性,通过该方法可以量化和简化模糊控制器的非线性增益品质,并利用圆判据对其稳定性作了分析.仿真实验表明在一定范围内可以用分段线性的方法来分析一维模糊PID的结构,结果表明了该方法的有效性.

英文摘要

The structure of a novel fuzzy PID controller, which is of one - input with three rules, is introduced and its nonlinear characters are analyzed in the paper. Based on this, the nonlinear gain properties of the one - input fuzzy PID controller are analyzed by a linearization method in such a way that the nonlinear curve is piecewise linearized to approximate the nonlinear characteristics. By this approach the nonlinear gain is quantified and simplified, and stability is analyzed by the circle criterion. The computer simulation shows that the proposed method is effective.