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Ting SHI,Hongye SU,Jian CHU.[en_title][J].Control Theory and Technology,2011,9(4):465~471.[Copy]
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TingSHI,HongyeSU,JianCHU
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(Institute of Automation, Hangzhou Dianzi University;State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University)
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Received:June 02, 2009Revised:November 09, 2009
基金项目:This work was supported by the National Creative Research Groups Science Foundation of China (No. 60721062), the National High Technology Research and Development Program of China (863Program) (No. 2006AA04 Z182), and the National Natural Science Foundation of China (No. 60736021).
Robust H-infinity control for uncertain discrete-time Markovian jump systems with actuator saturation
Ting SHI,Hongye SU,Jian CHU
(Institute of Automation, Hangzhou Dianzi University;State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University)
Abstract:
The design of robust H-infinity controller for uncertain discrete-time Markovian jump systems with actuator saturation is addressed in this paper. The parameter uncertainties are assumed to be norm-bounded. Linear matrix inequality (LMI) conditions are proposed to design a set of controllers in order to satisfy the closed-loop local stability and closed-loop H-infinity performance. Using an LMI approach, a set of state feedback gains is constructed such that the set of admissible initial conditions is enlarged and formulated through solving an optimization problem. A numerical example is given to illustrate the effectiveness of the proposed methods.
Key words:  Markovian jump systems  H-infinity control  Actuator saturation  LMIs