Dissipativity‐based asynchronous control of discrete‐time Markov jump systems with mixed time delays |
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| Authors: | Meng Zhang Peng Shi Zhitao Liu Jianping Cai Hongye Su |
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| Affiliation: | 1. State Key Laboratory of Industrial Control Technology, Institute of Cyber‐Systems and Control, Yuquan Campus, Zhejiang University, Hangzhou, China;2. School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, SA, Australia;3. Zhejiang University of Water Resources and Electric Power, Hangzhou, China |
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| Abstract: | 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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| Keywords: | asynchronous control dissipativity Markov jump systems mixed time delays |
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) dissipative performance of the resulting closed‐loop system. Finally, the effectiveness and validity of the proposed method are illustrated with a simulation example.