New stability and stabilization conditions for T-S fuzzy systems with time delay

被引:160
|
作者
Zhang, Ziye [1 ,2 ]
Lin, Chong [1 ]
Chen, Bing [1 ]
机构
[1] Qingdao Univ, Inst Complex Sci, Qingdao 266071, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
基金
中国国家自然科学基金;
关键词
Takagi-Sugeno (T-S) fuzzy systems; Time delay; Stabilization; Linear matrix inequalities (LMIs); LYAPUNOV FUNCTION-APPROACH; GUARANTEED COST CONTROL; H-INFINITY CONTROL; ROBUST STABILITY; DEPENDENT APPROACH; OUTPUT-FEEDBACK; CONTROL DESIGN; H-2;
D O I
10.1016/j.fss.2014.09.012
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper is concerned with the problem of the stability analysis and stabilization for Takagi-Sugeno (T-S) fuzzy systems with time delay. A new Lyapunov-Krasovskii functional containing the fuzzy line-integral Lyapunov function and the simple functional is chosen. By using a recently developed Wirtinger-based integral inequality and introducing slack variables, less conservative conditions in terms of linear matrix inequalities (LMIs) are derived. Several examples are given to show the advantages of the proposed results. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:82 / 91
页数:10
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