Dissipativity-based asynchronous control of discrete-time Markov jump systems with mixed time delays
Meng Zhang
State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Yuquan Campus, Zhejiang University, Hangzhou, China
Search for more papers by this authorPeng Shi
School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, SA, Australia
Search for more papers by this authorCorresponding Author
Zhitao Liu
State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Yuquan Campus, Zhejiang University, Hangzhou, China
Correspondence
Zhitao Liu, State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Yuquan Campus, Zhejiang University, Hangzhou 310027, China.
Email: [email protected]
Search for more papers by this authorJianping Cai
Zhejiang University of Water Resources and Electric Power, Hangzhou, China
Search for more papers by this authorHongye Su
State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Yuquan Campus, Zhejiang University, Hangzhou, China
Search for more papers by this authorMeng Zhang
State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Yuquan Campus, Zhejiang University, Hangzhou, China
Search for more papers by this authorPeng Shi
School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, SA, Australia
Search for more papers by this authorCorresponding Author
Zhitao Liu
State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Yuquan Campus, Zhejiang University, Hangzhou, China
Correspondence
Zhitao Liu, State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Yuquan Campus, Zhejiang University, Hangzhou 310027, China.
Email: [email protected]
Search for more papers by this authorJianping Cai
Zhejiang University of Water Resources and Electric Power, Hangzhou, China
Search for more papers by this authorHongye Su
State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Yuquan Campus, Zhejiang University, Hangzhou, China
Search for more papers by this authorSummary
This paper addresses the problem of dissipativity-based asynchronous control for a class of discrete-time Markov jump systems. A unified framework to design a controller for discrete-time Markov jump systems with mixed time delays is proposed, which is fairly general and can be reduced to a synchronous controller or a mode-independent controller. Based on a stochastic Lyapunov function approach, which fully utilizes available information of the system mode and the controller, a sufficient condition is established to ensure the stochastic stability and strictly (
,
,
) dissipative performance of the resulting closed-loop system. Finally, the effectiveness and validity of the proposed method are illustrated with a simulation example.
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