Stability Analysis for T-S Fuzzy Systems with Time-varying Delay via Free-matrix-based Integral Inequality

被引：47
|
作者：
Lian, Zhi [1 ]
He, Yong [1 ]
Zhang, Chuan-Ke [1 ]
Wu, Min [1 ]
机构：
[1] China Univ Geosci, Sch Automat, Wuhan 430074, Hubei, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2016年 / 14卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Delay-dependent stability; free-matrix-based integral inequality; time-varying delay; T-S fuzzy systems; H-INFINITY CONTROL; ROBUST STABILITY; DYNAMIC-SYSTEMS; CRITERIA; STABILIZATION;
D O I：
10.1007/s12555-015-2001-z
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the problem of delay-dependent stability criteria for Takagi-Sugeno systems with time-varying delay. The less conservative delay-dependent stability criteria in terms of linear matrix inequalities are obtained by constructing a novel augmented Lyapunov-Krasovskii functional. In order to further improve the stability conditions, the free-matrix-based integral inequality is employed. Finally, several numerical examples on time-delay stability analysis are given to demonstrate the effectiveness and the merits of the proposed methods.
引用
收藏
页码：21 / 28
页数：8
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