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
收藏
页码：827 / 841
页数：15
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