Robust stability and stabilization for uncertain discrete-time switched singular systems with time-varying delays

作     者：Jinxing Lin Shumin Fei Jiong Shen 

作者机构：Key Laboratory of Measurement and Control of CSE Ministry of Education School of Automation Southeast University Nanjing 210096 P. R. China School of Energy and Environment Southeast University Nanjing 210096 P. R. China 

出 版 物：《Journal of Systems Engineering and Electronics》 (系统工程与电子技术（英文版）)

年 卷 期：2010年第21卷第4期

页      面：650-657页

核心收录：

学科分类：0808[工学-电气工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 071101[理学-系统理论] 071102[理学-系统分析与集成] 0711[理学-系统科学] 0802[工学-机械工程] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 081103[工学-系统工程] 

基　　金：supported by the National Natural Science Foundation of China(60904020 60835001) the Jiangsu Planned Projects for Postdoctoral Research Funds(0802010C) 

主　　题：discrete-time switched singular system time-varying delay delay-dependent criterion switched Lyapunov-Krasovskii functional robust stability stabilization. 

摘      要：The problems of robust stability and stabilization via memoryless state feedback for a class of discrete-time switched singular systems with time-varying delays and linear fractional uncertainties are *** constructing a novel switched Lyapunov-Krasovskii functional,a delay-dependent criterion for the unforced system to be regular,causal and uniformly asymptotically stable is established in terms of linear matrix inequalities（LMIs）.An explicit expression for the desired memoryless state feedback stabilization controller is also *** merits of the proposed criteria lie in their less conservativeness and relative simplicity,which are achieved by considering additionally useful terms（ignored in previous methods） when estimating the upper bound of the forward difference of the Lyapunov-Krasovskii functional and by avoiding utilizing any model augmentation *** numerical examples are provided to illustrate the validity of the proposed methods.