New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Descriptor Systems

被引：0
|
作者：
Mao Wang [1 ]
Jia Shi [1 ]
Kan Liu [1 ]
机构：
[1] Space Control and Inertial Technology Research Center,Harbin Institute of Technology
来源：
Journal of Harbin Institute of Technology(New series) | 2015年 / 05期
基金：
中国国家自然科学基金;
关键词：
T-S fuzzy descriptor systems; parameter uncertainties; stability; state feedback control; linear matrix inequality(LMI);
D O I：
暂无
中图分类号：
O159 [模糊数学]; O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
The problems of stability and state feedback control for a class of discrete-time T-S fuzzy descriptor systems are investigated in this paper. Based on fuzzy Lyapunov function,a set of slack variables is introduced to remove the basic semi-definite matrix inequality condition to check the regularity,causality and stability of discrete-time T-S fuzzy descriptor systems; a new sufficient condition for the discrete-time T-S fuzzy descriptor systems to be admissible is proposed in terms of strict linear matrix inequalities( LMIs). And a sufficient condition is proposed for the existence of state feedback controller in terms of a set of coupled strict LMIs.Finally,an illustrative example is presented to demonstrate the effectiveness of the proposed approach.
引用
收藏
页码：55 / 60
页数：6
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