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Jianchen LIU,Jing ZHANG,Min HE,Hongqiang ZHANG.[en_title][J].Control Theory and Technology,2011,9(4):611~616.[Copy]
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JianchenLIU,JingZHANG,MinHE,HongqiangZHANG
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(College of Electrical and Information Engineering, Hunan University;Institute of Information and Electrical Engineering, Hunan University of Science and Technology)
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Received:November 17, 2008Revised:April 07, 2010
基金项目:This work was supported by the National Natural Science Foundation of China (No. 61174140), and the Scientific Research Fund of Hunan Provincial Education Department (No. 07C264).
New results on robust H-infinity control for discrete-time systems with interval time-varying delays
Jianchen LIU,Jing ZHANG,Min HE,Hongqiang ZHANG
(College of Electrical and Information Engineering, Hunan University;Institute of Information and Electrical Engineering, Hunan University of Science and Technology)
Abstract:
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.
Key words:  Time-varying delay  Discrete-time linear system  H-infinity control  Delay-dependent