A fuzzy Lyapunov function approach for stabilization and H∞ control of switched TS fuzzy systems

被引：19
|
作者：
Faria, Flavio A. [1 ]
Valentino, Michele C. [1 ]
Oliveira, Vilma A. [1 ]
机构：
[1] Univ Sao Paulo, Dept Engn Eletr, BR-13560970 Sao Carlos, SP, Brazil
来源：
APPLIED MATHEMATICAL MODELLING | 2014年 / 38卷 / 19-20期
关键词：
Switched TS fuzzy system; Fuzzy Lyapunov functions; Linear matrix inequalities; State feedback design; H-infinity control; NONLINEAR-SYSTEMS; STABILITY;
D O I：
10.1016/j.apm.2014.03.034
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this work, sufficient conditions for the existence of switching laws for stabilizing switched TS fuzzy systems via a fuzzy Lyapunov function are proposed. The conditions are found by exploring properties of the membership functions and are formulated in terms of linear matrix inequalities (LMIs). Stabilizing switching conditions with bounds on the decay rate solution and H-infinity performance are also obtained. Numerical examples illustrate the effectiveness of the proposed design methods. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：4817 / 4834
页数：18
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