Further Studies on Stability and Stabilization of T-S Fuzzy Systems With Time-Varying Delays via Fuzzy Lyapunov-Krasovskii Functional Method

被引：14
|
作者：
Tan, Jiyong [1 ]
Dian, Songyi [1 ]
Zhao, Tao [1 ]
机构：
[1] Sichuan Univ, Sch Elect Engn & Informat, Chengdu 610065, Sichuan, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2018年 / 20卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Time-varying delays; augmented fuzzy LKF; non-quadratic Lyapunov matrices; quadruple integral; Lyapunov method; H-INFINITY CONTROL; INTEGRAL INEQUALITY APPLICATION; NONLINEAR-SYSTEMS; LINEAR-SYSTEMS; CRITERIA;
D O I：
10.1002/asjc.1697
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 discusses the issue of stability analysis and stabilization of Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. By constructing an appropriate augmented fuzzy Lyapunov-Krasovskii functional (LKF) including non-quadratic Lyapunov matrices and triple and quadruple integral term,less conservative and newer stability conditions are introduced. In order to obtain stability conditions in the form of linear matrix inequalities (LMIs), some tighter bounding inequalities are employed to estimate the derivative of LKF. Several examples are provided to illustrate the effectiveness of the suggested approaches.
引用
收藏
页码：2207 / 2222
页数：16
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