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Title: Almost sure H∞ sliding mode control for nonlinear stochastic systems with Markovian switching and time-delays
Authors: Yang, H
Wang, Z
Shu, H
Alsaadi, FE
Hayat, T
Keywords: Nonlinear stochastic systems;Sliding mode control;Markovian switching;Almost surely exponential stability
Issue Date: 2016
Publisher: Elsevier
Citation: Neurocomputing,175, Part A, pp. 392–400, (2016)
Abstract: This paperinvestigatesthealmostsure H1 sliding mode control (SMC) problem for non linear stochastic systems with Markovian switching and time-delays. An integral sliding surface is first constructed for the addressed system. Then, by employing the topping time method combined with martingale in equalities, sufficient conditions are established to ensure the almost surely exponential stability and the H 1 performance of the system dynamics in the specified sliding surface. ASMC law is designed to guarantee the reach ability of the specified sliding surface almost surely. Furthermore, the obtained results are applied to a class of special nonlinear stochastic systems with Markovian switching and time-delays, where the desired SMC law is obtained in terms of the solutions to a set of matrix in equalities. Finally, a numerical example is given to show the effectiveness of the proposed SMC scheme.
ISSN: 0925-2312
Appears in Collections:Dept of Computer Science Research Papers

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