Augmented Lyapunov-Krasovskii functional approaches to robust stability criteria for uncertain Takagi-Sugeno fuzzy systems with time-varying delays

被引：99

作者：

Kwon, O. M. ^{[2
]}

Park, M. J. ^{[2
]}

Lee, S. M. ^{[3
]}

Park, Ju H. ^{[1
]}

机构：

[1] Yeungnam Univ, Dept Elect Engn, Kyongsan 712749, South Korea

[2] Chungbuk Natl Univ, Sch Elect Engn, Cheongju 361763, South Korea

[3] Daegu Univ, Sch Elect Engn, Jinyang Eup 712714, Gyeongsan, South Korea

来源：

FUZZY SETS AND SYSTEMS | 2012年 / 201卷

基金：

新加坡国家研究基金会;

关键词：

Fuzzy system models; T-S fuzzy systems; Time-varying delay; Stability; Lyapunov method; LMI; H-INFINITY CONTROL; DEPENDENT STABILITY; STABILIZATION;

D O I：

10.1016/j.fss.2011.12.014

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper considers the problem of robust stability analysis for uncertain Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. By constructing an augmented Lyapunov-Krasovskii functional and utilizing Finsler's Lemma, a novel criterion for delay-dependent robust stability of T-S fuzzy model with time-varying delay is derived in terms of linear matrix inequalities (LMIs). Also, a further improved stability criterion is proposed by utilizing free weighting techniques. Finally, three numerical examples are included to show the superiority of the proposed criteria. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：1 / 19

页数：19

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