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

作　　者：Mao Wang Jia Shi Kan Liu 

机构地区：[1]Space Control and Inertial Technology Research Center,Harbin Institute of Technology

出　　处：《Journal of Harbin Institute of Technology(New Series)》2015年第5期55-60,共6页哈尔滨工业大学学报（英文版）

基　　金：Sponsored by the National Natural Science Foundation of China(Grant No.61004038)

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.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.

关 键 词：T-S fuzzy descriptor systems parameter uncertainties STABILITY state feedback control linear matrix inequality(LMI) 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]