Stabilization of discrete-time stochastic systems via sliding mode technique |
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| Authors: | Yugang Niu Daniel WC Ho |
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| Institution: | 1. Key Laboratory of Advanced Control and Optimization for Chemical Processes of Ministry of Education, East China University of Science and Technology, Shanghai 200237, PR China;2. Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong;1. School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510006, China;2. Research Institute of Sun Yat-sen University in Shenzhen, Shenzhen 518057, China |
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| Abstract: | This paper considers the problem of sliding mode control for discrete-time stochastic systems with parameter uncertainties and state-dependent noise perturbation. An integral-like sliding surface is chosen and a discrete-time sliding mode controller is designed. The key feature in this work is that both the reachability of the quasi-sliding mode and the stability of system states are simultaneously analyzed, due to the existence of state-dependent noise perturbation. By utilizing an Lyapunov function involving system states and sliding mode variables, the sufficient condition for reachability is obtained. Finally, numerical simulation results are provided. |
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