Sliding mode control for stochastic systems subject to packet losses

Authors:
Tinggang Jia;Yugang Niu;Yuanyuan Zou
Affiliations:
Key Laboratory of Advanced Control and Optimization for Chemical Processes, East China University of Science and Technology, Ministry of Education, 130 Meilong Road, Shanghai 200237, PR China and ...;Key Laboratory of Advanced Control and Optimization for Chemical Processes, East China University of Science and Technology, Ministry of Education, 130 Meilong Road, Shanghai 200237, PR China;Key Laboratory of Advanced Control and Optimization for Chemical Processes, East China University of Science and Technology, Ministry of Education, 130 Meilong Road, Shanghai 200237, PR China
Venue:
Information Sciences: an International Journal
Year:
2012

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Abstract

This paper investigates the problem of sliding mode control for stochastic system under the effect of packet dropout. In this work, a new sliding function dependent on the probability of packet dropout is constructed. By means of a Lyapunov function involved in sliding mode variable and system state, both the reachabiltiy and the stability are analyzed simultaneously, and the sufficient condition is derived via linear matrix inequalities. Finally, numerical simulation results are given.