New delay-dependent stability analysis and synthesis of T-S fuzzy systems with time-varying delay

被引：28
|
作者：
Yang, Zhong [1 ]
Yang, Yu-Pu [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2010年 / 20卷 / 03期
关键词：
delay-dependent; fuzzy control; time-varying delay; linear matrix inequality (LMI); free-weighting matrices; GUARANTEED COST CONTROL; ROBUST STABILITY; NONLINEAR-SYSTEMS; STABILIZATION; DESIGN; CONTROLLER; STATE;
D O I：
10.1002/rnc.1431
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a new method is proposed for stability analysis and synthesis of Takagi-Sugeno (T-S) fuzzy systems with time-varying delay. Based on a new Lyapunov-Krasovskii functional (LKF), some less conservative delay-dependent stability criteria are established. In the derivation process, some additional useful terms, ignored in previous methods, are considered and new free-weighting matrices are introduced to estimate the upper bound of the derivative of LKF for T-S fuzzy systems with time-varying delay. The proposed stability criterion and stabilization condition are represented in terms of linear matrix inequalities. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method. Copyright (C) 2009 John Wiley & Sons, Ltd.
引用
收藏
页码：313 / 322
页数：10
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