Robust L_2-L_∞ control for uncertain singular systems with time-varying delay  

作　　者：Lin Li Yingmin Jia Junping Du Shiying Yuan 

机构地区：[1]The Seventh Research Division, Beijing University, Beijing 100083, China [2]Beijing Key Laboratory of Intelligent Telecommunications Software and Multimedia, Beijing University of Posts and Telecommunications, Beijing 100876, China [3]School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China

出　　处：《Progress in Natural Science:Materials International》2008年第8期1015-1021,共7页自然科学进展·国际材料（英文版）

基　　金：National Natural ScienceFoundation of China (Grant Nos. 60374003 and60727002);Commission of Science, Technology and Indus-try for National Defense Program (Grant No.A2120061303);National Key Basic Research Program(973 Program) (Grant No. 2005CB321902).

摘　　要：We study the problem of L2-L∞, control for a class of uncertain singular systems with time-delay and norm-bounded parameter uncer- tainties in this paper. A new delay-dependent robust stability criterion is obtained in terms of linear matrix inequalities （LMIs）. Based on this criterion, a state feedback controller is designed to guarantee that the closed-loop system is regular, impulse free and stable with a prescribed L2-L∞ performance satisfied for all admissible parameter uncertainties. A simulation example is included to illustrate the effectiveness of the proposed method.We study the problem of L2-L1 control for a class of uncertain singular systems with time-delay and norm-bounded parameter uncertainties in this paper. A new delay-dependent robust stability criterion is obtained in terms of linear matrix inequalities (LMIs). Based on this criterion, a state feedback controller is designed to guarantee that the closed-loop system is regular, impulse free and stable with a prescribed L2-L1 performance satisfied for all admissible parameter uncertainties. A simulation example is included to illustrate the effectiveness of the proposed method.

关 键 词：L2-L∞ control Singular systems Delay-dependent condition LMIS 

分 类 号：O14[理学—数学]