New delay-dependent stability criteria for T-S fuzzy systems with time-varying delay

被引：105

作者：

Liu, Fang ^{[1
,2
]}

Wu, Min ^{[1
]}

He, Yong ^{[1
]}

Yokoyama, Ryuichi ^{[2
]}

机构：

[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China

[2] Waseda Univ, Grad Sch Environm & Energy Engn, Tokyo 1690051, Japan

来源：

FUZZY SETS AND SYSTEMS | 2010年 / 161卷 / 15期

基金：

中国国家自然科学基金;

关键词：

T-S fuzzy systems; Time-varying delay; Delay-dependent stability; Lyapunov-Krasovskii functional; Linear matrix inequalities (LMIs); NONLINEAR-SYSTEMS; ROBUST STABILITY; STABILIZATION CONDITIONS; CONTROL DESIGN;

D O I：

10.1016/j.fss.2009.12.014

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper is concerned with the stability problem of uncertain T-S fuzzy systems with time-varying delay by employing a further improved free-weighting matrix approach. By taking the relationship among the time-varying delay, its upper bound and their difference into account, some less conservative LMI-based delay-dependent stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov-Krasovskii functional. Finally, two numerical examples are given to demonstrate the effectiveness and the merits of the proposed methods. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2033 / 2042

页数：10

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