A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems

被引：395

作者：

Wu, Ligang ^{[1
]}

Su, Xiaojie ^{[1
]}

Shi, Peng ^{[2
,3
]}

Qiu, Jianbin ^{[1
]}

机构：

[1] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China

[2] Univ Glamorgan, Dept Comp & Math Sci, Pontypridd CF37 1DL, M Glam, Wales

[3] Victoria Univ, Sch Sci & Engn, Melbourne, Vic 8001, Australia

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS | 2011年 / 41卷 / 01期

基金：

英国工程与自然科学研究理事会; 中国国家自然科学基金; 黑龙江省自然科学基金;

关键词：

Delay partitioning; discrete-time; stability; time-delay; Takagi-Sugeno (T-S) fuzzy systems; NONLINEAR STOCHASTIC-SYSTEMS; SLIDING MODE CONTROL; H-INFINITY CONTROL; DEPENDENT STABILITY; ROBUST STABILITY; STATE; DESIGN; COMPONENTS; CRITERIA;

D O I：

10.1109/TSMCB.2010.2051541

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 investigates the problems of stability analysis and stabilization for a class of discrete-time Takagi-Sugeno fuzzy systems with time-varying state delay. Based on a novel fuzzy Lyapunov-Krasovskii functional, a delay partitioning method has been developed for the delay-dependent stability analysis of fuzzy time-varying state delay systems. As a result of the novel idea of delay partitioning, the proposed stability condition is much less conservative than most of the existing results. A delay-dependent stabilization approach based on a nonparallel distributed compensation scheme is given for the closed-loop fuzzy systems. The proposed stability and stabilization conditions are formulated in the form of linear matrix inequalities (LMIs), which can be solved readily by using existing LMI optimization techniques. Finally, two illustrative examples are provided to demonstrate the effectiveness of the techniques proposed in this paper.

引用

页码：273 / 286

页数：14

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