Asynchronous output feedback control for fuzzy Markovian jump systems via sliding mode |
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| Institution: | 1. School of Automation, Central South University, Changsha, Hunan 410083, China;2. School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide 5005, Australia;1. School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan 243002, PR China;2. School of Electronics and Information, Jiangsu University of Science and Technology, Zhenjiang, 212003, PR China;1. Institute of Intelligence Science and Engineering, Shenzhen Polytechnic, Shenzhen 518055 China;2. National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Yuquan Campus, Hangzhou, Zhejiang 310027, PR China;3. School of Electrical and Electronic Engineering, University of Adelaide, SA 5005, Australia;1. School of Science, Hubei University for Nationalities, Enshi, Hubei 445000, PR China;2. Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea;3. Department of Mechanical Engineering, Politecnico di Milano, Milan 20156, Italy;4. College of Engineering, Bohai University, Jinzhou 121013, PR China |
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| Abstract: | This paper investigates the design problem of asynchronous output feedback controller via sliding mode for a class of discrete-time fuzzy Markovian jump systems. Considering the non-synchronization phenomenon between the Markovian jump systems and the sliding controller, an asynchronous control method with a stochastic variable is adopted to describe the connections of the systems and controller. On the other hand, not full of states are accessible for the controller since it is impossible or very expensive to estimate all of states, while the output information can be acquired to the controller all the time. Based on the above aspects, the asynchronous output feedback controller via sliding mode for fuzzy Markovian jump systems is investigated to ensure the sliding mode dynamics to be stochastically stable, besides, several sufficient conditions are given to find a set of feasible solutions of the controller parameters. The asynchronous sliding mode control law is synthesized to guarantee the reachability of the trajectories of the closed-loop systems. Finally, a simulation example is to verify the effectiveness of the control strategy. |
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