An improved robust stability and robust stabilization method for linear discrete-time uncertain systems

作     者：Xianming ZHANG Min WU Jinhua SHE Dongsheng HAN 

作者机构：School of Information Science and Engineering Central South University Changsha Hunan 410083 China School of Mathematical Science and Computing Technology Central South University Changsha Hunan 410083 China School of Bionics Tokyo University of Technology Tokyo 192-0982 Japan Faculty of Business and Informatics Central Queensland University Rockhampton 4702 Australia 

出 版 物：《控制理论与应用（英文版）》 (控制理论与应用)

年 卷 期：2007年第5卷第1期

页      面：99-103页

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：This work was supported in part by the Doctor Subject Foundation of China (No. 20050533015) the National Science Foundation of China(No. 60425310,60574014) 

主　　题：Robust stability Robust stabilization Parameter-dependent Lyapunov function Linear matrix inequality 

摘      要：This paper addresses the problems of the robust stability and robust stabilization of a discrete-time system with polytopic uncertainties. A new and simple method is presented to directly decouple the Lyapunov matrix and the system dynamic matrix. Combining this method with the parameter-dependent Lyapunov function approach yields new criteria that include some existing ones as special cases. A numerical example illustrates the improvement over the existing ones.