Stochastic admissibility of singular Markov jump systems with time-delay via sliding mode approach

Ruifeng Tao, Yuechao Ma and Chunjiao Wang

Applied Mathematics and Computation, 2020, vol. 380, issue C

Abstract: In this article, stochastic admissibility of singular Markov jumping systems (SMJSs) with time-varying delays is studied by sliding mo de control (SMC) method. Firstly, we construct integral-type sliding mode switching functions for each Markov jump subsystem, next, we construct some linear matrix inequalities(LMI) and sufficient conditions for stochastic admissibility are given. Then the sliding mo de controller and switching rules are designed by Lyapunov stability method, the state trajectory can reach the sliding mode surface (SMS) in a limited time, resulting in stable sliding mode dynamics. Finally, two examples are given to illustrate the effectiveness and feasibility of the proposed scheme.

Keywords: Singular time-delay systems; Markov jump systems; Stochastic admissibility; Sliding mode control law (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:380:y:2020:i:c:s0096300320302514

DOI: 10.1016/j.amc.2020.125282

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