Relaxed stability and stabilization conditions for a T-S fuzzy discrete system

被引：64

作者：

Wang, WJ ^{[1
]}

Sun, CH ^{[1
]}

机构：

[1] Natl Cent Univ, Dept Elect Engn, Jhongli 320, Taiwan

来源：

FUZZY SETS AND SYSTEMS | 2005年 / 156卷 / 02期

关键词：

fuzzy control; stability; T-S model; relaxed conditions;

D O I：

10.1016/j.fss.2005.05.002

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

It is known that the stability condition of a T-S fuzzy discrete system depends on the existence of the common matrix P which satisfies all Lyapunov inequalities. In general, the common matrix P can be found by means of linear matrix inequalities (LMI) method. However, if the number of rules of a fuzzy system is large, the common matrix P may not exist or may not be found even using LMI. Therefore, in this paper, the state space is divided into several subregions and the local common matrix P-j for each subregion-j is found. Then the number of Lyapunov inequalities to be satisfied by the corresponding local common matrix P-j becomes much fewer such that the stability condition of the fuzzy system is more relaxed. The similar derivation is also extended to solve the stabilization problem of the T-S fuzzy discrete system with parallel distributed compensation. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：208 / 225

页数：18

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