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Chengcheng Ren,Shuping He 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.7
This paper studies the finite-time sliding mode control problem for a class of nonlinear positive Markovjumping systems with uncertain parameters. Firstly, a mode-dependent sliding mode surface is designed to guarantee the positiveness and finite-time boundedness of the closed-loop Markov jumping systems. Then, a suitablefinite-time sliding mode controller is given to guarantee the closed-loop MJSs can drive onto the specified slidingmode surface during a given finite-time interval and then maintain on the sliding surface. Based on the stochasticLyapunov-Krasovskii functional approach and linear matrix inequalities technique, sufficient conditions on the existence of the finite-time controller are proposed and proved. Finally, a simulation example is given to illustrate theeffectiveness of the proposed method