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

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  • Tao, Ruifeng
  • Ma, Yuechao
  • Wang, Chunjiao

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.

Suggested Citation

  • Tao, Ruifeng & Ma, Yuechao & Wang, Chunjiao, 2020. "Stochastic admissibility of singular Markov jump systems with time-delay via sliding mode approach," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    • Handle: RePEc:eee:apmaco:v:380:y:2020:i:c:s0096300320302514
    DOI: 10.1016/j.amc.2020.125282
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    Cited by:

    1. Zhao, Yinghong & Ma, Yuechao, 2021. "Asynchronous H∞ control for hidden singular Markov jump systems with incomplete transition probabilities via state decomposition approach," Applied Mathematics and Computation, Elsevier, vol. 407(C).
    2. Han, Lihuan & Ma, Yuechao, 2024. "Learning-based asynchronous sliding mode control for semi-Markov jump systems with time-varying delay using relaxed negative-determination lemma," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).

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