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

被引:104
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
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
收藏
页码:2033 / 2042
页数:10
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