Robust fuzzy H∞ control for uncertain nonlinear systems via state feedback:: an LMI approach

被引：145

作者：

Lee, KR

Jeung, ET

Park, HB ^{[1
]}

机构：

[1] Kyungpook Natl Univ, Sch Elect & Elect Engn, Taegu 702701, South Korea

[2] Doowon Tech Coll, Dept Comp Appl Control, Gyonggi 456890, South Korea

[3] Changwon Natl Univ, Dept Control & Instrumentat Engn, Changwon 641773, Kyungnam, South Korea

来源：

FUZZY SETS AND SYSTEMS | 2001年 / 120卷 / 01期

关键词：

fuzzy controller; robust H-infinity control; Takagi and Sugeno fuzzy model; uncertain nonlinear systems; linear matrix inequality;

D O I：

10.1016/S0165-0114(99)00078-0

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper presents a method for designing robust fuzzy H-infinity controllers which stabilize nonlinear systems and guarantee an induced L-2 norm bound constraint on disturbance attenuation for all admissible uncertainties. Takagi and Sugeno fuzzy models with uncertainties are used as the model for the uncertain nonlinear systems. Fuzzy control systems utilize the concept of the so-called parallel distributed compensation (PDC). Using a single quadratic Lyapunov function, the stability with decay rate and disturbance attenuation for Takagi and Sugeno fuzzy model with parameter uncertainties are discussed. A sufficient condition for the presence of the robust fuzzy H-infinity controllers is then presented in terms of linear matrix inequalities (LMIs). Finally, design examples of robust fuzzy H-infinity controllers for uncertain nonlinear systems are presented. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：123 / 134

页数：12

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