Stability Analysis of T-S Fuzzy Control Systems by Using Set Theory

被引：77

作者：

Dong, Jiuxiang ^{[1
,2
]}

Yang, Guang-Hong ^{[1
,2
]}

Zhang, Huaguang ^{[1
,2
]}

机构：

[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China

[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2015年 / 23卷 / 04期

基金：

中国博士后科学基金;

关键词：

Equivalence class; linear matrix inequalities (LMIs); set theory; stability analysis; T-S fuzzy control systems; NONQUADRATIC STABILIZATION CONDITIONS; H-INFINITY CONTROL; RELAXED STABILITY; ACTIVE SUSPENSION; NONLINEAR-SYSTEMS; LMI CONDITIONS; DESIGN; DELAY; PERFORMANCE;

D O I：

10.1109/TFUZZ.2014.2328016

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper is concerned with the stability analysis for Takagi-Sugeno (T-S) fuzzy control systems. By exploiting the property of the structure of a fuzzy inference engine, an equivalence relation on the index set of the product of fuzzy rule weights is defined. Furthermore, a new stability criterion is proposed by using the equivalence relation and formulated into progressively less-conservative sets of linear matrix inequalities. By using an extension of Polya's theorem, the new criterion is proved to be with no conservatism for quadratic stability analysis of T-S fuzzy control systems with a product inference engine and any possible fuzzy membership functions. A numerical example is given to illustrate the effectiveness of the proposed method.

引用

页码：827 / 841

页数：15

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