New results on robust H-infinity control for discrete-time systems with interval time-varying delays  

作　　者：Jianchen LIU Jing ZHANG Min HE Hongqiang ZHANG 

机构地区：[1]College of Electrical and Information Engineering, Hunan University, Changsha Hunan 410082, China [2]Institute of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan Hunan 411201, China

出　　处：《控制理论与应用（英文版）》2011年第4期611-616,共6页

基　　金：supported by the National Natural Science Foundation of China (No. 61174140);the Scientific Research Fund of Hunan Provincial Education Department (No. 07C264)

摘　　要：This paper deals with delay-dependent robust H-infinity control for uncertain discrete-time systems with interval time-varying delay. By using a new Lyapunov functional and the convex combination method, a new delay-dependent stability criterion is established. Some redundant variable matrices are removed in the new conditions, which makes the obtained results more efficient. Then, an iterative algorithm based on the cone complementarity Linearization method is proposed to obtain the delay-dependent robust H-infinity controller. Numerical examples are given to show the effectiveness of the proposed method.This paper deals with delay-dependent robust H-infinity control for uncertain discrete-time systems with interval time-varying delay. By using a new Lyapunov functional and the convex combination method, a new delay-dependent stability criterion is established. Some redundant variable matrices are removed in the new conditions, which makes the obtained results more efficient. Then, an iterative algorithm based on the cone complementarity Linearization method is proposed to obtain the delay-dependent robust H-infinity controller. Numerical examples are given to show the effectiveness of the proposed method.

关 键 词：Time-varying delay Discrete-time linear system H-infinity control DELAY-DEPENDENT 

分 类 号：TP271.8[自动化与计算机技术—检测技术与自动化装置] TP13[自动化与计算机技术—控制科学与工程]