Delay-dependent robust H-infinity control for discrete-time uncertain systems with time-varying state delays  

作　　者：Xianming ZHANG Min WU Jinhua SHE Dongsheng HAN 

机构地区：[1]School of Information Science and Engineering, Central South University, Changsha Hunan 410083, China [2]School of Mathematical Science and Computing Technology, Central South University, Changsha Hunan 410083, China [3]School of Bionics, Tokyo University of Technology, Tokyo 192-0982, Japan [4]Faculty of Business and Inforrnatics, Central Queensland University, Rockhampton 4702, Australia

出　　处：《控制理论与应用（英文版）》2006年第4期355-360,共6页

基　　金：This work was partially supported by the National Science Foundation of China (No. 60425310, 60574014), the Doctor Subject Foundation of China(No. 20050533015) and the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of the Ministryof Education, P. R. China (TRAPOYT).

摘　　要：This paper examines the delay-dependent H-infinity control problem for discrete-time linear systems with time-varying state delays and norm-bounded uncertainties. A new inequality for the finite sum of quadratic terms is first established. Then, some new delay-dependent criteria are derived by employing the new inequality to guarantee the robust stability of a closed-loop system with a prescribed H-infinity norm bound for all admissible uncertainties and bounded time-vary delays. A numerical example demonstrates that the proposed method is an improvement over existing ones.This paper examines the delay-dependent H-infinity control problem for discrete-time linear systems with time-varying state delays and norm-bounded uncertainties. A new inequality for the finite sum of quadratic terms is first established. Then, some new delay-dependent criteria are derived by employing the new inequality to guarantee the robust stability of a closed-loop system with a prescribed H-infinity norm bound for all admissible uncertainties and bounded time-vary delays. A numerical example demonstrates that the proposed method is an improvement over existing ones.

关 键 词：Time-varying delay Discrete-time linear system DELAY-DEPENDENT H-infinity control Finite-sum inequality Memoryless state feedback 

分 类 号：O23[理学—运筹学与控制论]