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Asynchronous sliding mode control of continuous-time singular markov jump systems with time-varying delay under event-triggered strategy

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  • Liang, Tiantian
  • Shi, Shengli
  • Ma, Yuechao

Abstract

This paper is mainly to design an asynchronous sliding mode controller for singular Markov jump systems (SMJSs) under event-triggered strategy (ETS). A sampling-based ETS is introduced, which can not only save resources but also avoid Zeno behavior. Hidden Markov model (HMM) is used to describe the phenomenon that the system mode is not synchronized with the controller mode. A novel delay-dependent sliding mode surface is constructed. Then, an asynchronous sliding mode control (SMC) law is obtained by utilizing the ETS, which guarantees the reachability of the closed-loop system. A stochastic admissibility with H∞ performance criterion is established for SMJSs by linear matrix inequality. Finally, effectiveness of the theoretical approach is demonstrated through two examples.

Suggested Citation

  • Liang, Tiantian & Shi, Shengli & Ma, Yuechao, 2023. "Asynchronous sliding mode control of continuous-time singular markov jump systems with time-varying delay under event-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 448(C).
    • Handle: RePEc:eee:apmaco:v:448:y:2023:i:c:s0096300323001169
    DOI: 10.1016/j.amc.2023.127947
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    References listed on IDEAS

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    4. Jiang, Baoping & Gao, Cunchen & Xie, Jing, 2015. "Passivity based sliding mode control of uncertain singular Markovian jump systems with time-varying delay and nonlinear perturbations," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 187-200.
    5. Mao, Xuerong, 1999. "Stability of stochastic differential equations with Markovian switching," Stochastic Processes and their Applications, Elsevier, vol. 79(1), pages 45-67, January.
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    Cited by:

    1. Wang, Yun & Fang, Tian & Kong, Qingkai & Li, Feng, 2024. "Zero-sum game-based optimal control for discrete-time Markov jump systems: A parallel off-policy Q-learning method," Applied Mathematics and Computation, Elsevier, vol. 467(C).
    2. Li, Xin & Mu, Xiaowu, 2024. "Dynamic event-triggered fuzzy control for nonlinear singular semi-Markovian jump systems via state decomposition approach," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    3. Zhang, Jianyu & Wang, Yingying & Yang, Songwei & Li, Jiaojiao & Qu, Hao, 2024. "A design of fuzzy sliding mode control for Markovian jumping system with different input matrices," Applied Mathematics and Computation, Elsevier, vol. 463(C).

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