Delay-dependent H-infinity control for continuous time-delay systems via state feedback  

作　　者：Xinchun JIA Yibo GAO Jingmei ZHANG Nanning ZHENG 

机构地区：[1]School of Mathematic Science, Shanxi University, Taiyuan Shanxi 030006, China [2]Department of Mathematics, Baoji University of Arts and Sciences, Baoji Shaanxi 721007, China [3]College of Electronic Information Engineering, Taiyuan University of Science and Technology, Taiyuan Shanxi 030024, China

出　　处：《控制理论与应用（英文版）》2007年第3期221-226,共6页

基　　金：This work was supported by the National Natural Science Foundation of China (No. 60024301);Natural Science Fund of Shanxi Province of China(No. 20051032)

摘　　要：The delay-dependent H-infinity analysis and H-infinity control problems for continuous time-delay systems are studied. By introducing an equality with some free weighting matrices, an improved criterion of delay-dependent stability with H-infinity performance for such systems is presented, and a criterion of existence and some design methods of delay-dependent H-infinity controller for such systems are proposed in term of a set of matrix inequalities, which is solved efficiently by an iterative algorithm. Further, the corresponding results for the delay-dependent robust H-infinity analysis and robust H-infinity control problems for continuous time-delay uncertain systems are given. Finally, two numerical examples are given to illustrate the efficiency of the proposed method by comparing with the other existing results.The delay-dependent H-infinity analysis and H-infinity control problems for continuous time-delay systems are studied. By introducing an equality with some free weighting matrices, an improved criterion of delay-dependent stability with H-infinity performance for such systems is presented, and a criterion of existence and some design methods of delay-dependent H-infinity controller for such systems are proposed in term of a set of matrix inequalities, which is solved efficiently by an iterative algorithm. Further, the corresponding results for the delay-dependent robust H-infinity analysis and robust H-infinity control problems for continuous time-delay uncertain systems are given. Finally, two numerical examples are given to illustrate the efficiency of the proposed method by comparing with the other existing results.

关 键 词：Time-delay system Delay-dependent stability H-infinity control State feedback LMI approach 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]