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Adaptive non-fragile sliding mode control for switched semi-Markov jump system with time-delay and attack via reduced-order method

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  • Wang, Xingxing
  • Ma, Yuechao

Abstract

In this paper, the stability control of nonlinear switched semi-Markovian jump systems (S-MJSs) with false data injection attack and general uncertain transition rate (TR) is studied. General uncertain TR includes two cases: one is completely unknown, the other is not completely known. For unknown network attacks and nonlinearity, adaptive parameters are used to estimate these unknown terms. Then, a reduced-order adaptive sliding mode control (SMC) law is generated via the reduced-order theory, and non-fragile control is introduced to improve the effectiveness of the controller. On this basis, the finite time accessibility of the sliding mode surface and the stability of the closed-loop system are ensured by designing suitable Lyapunov functionals. Finally, simulation results show the effectiveness of the proposed method.

Suggested Citation

  • Wang, Xingxing & Ma, Yuechao, 2023. "Adaptive non-fragile sliding mode control for switched semi-Markov jump system with time-delay and attack via reduced-order method," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    • Handle: RePEc:eee:apmaco:v:440:y:2023:i:c:s009630032200738x
    DOI: 10.1016/j.amc.2022.127670
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    References listed on IDEAS

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    1. Kavikumar, R. & Kwon, O.M. & Sakthivel, R. & Lee, S.H. & Choi, S.G. & Priyanka, S., 2022. "Sliding mode control for IT2 fuzzy semi-Markov systems with faults and disturbances," Applied Mathematics and Computation, Elsevier, vol. 423(C).
    2. Gao, Meng & Zhang, Lihua & Qi, Wenhai & Cao, Jinde & Cheng, Jun & Kao, Yonggui & Wei, Yunliang & Yan, Xiaoyu, 2020. "SMC for semi-Markov jump T-S fuzzy systems with time delay," Applied Mathematics and Computation, Elsevier, vol. 374(C).
    3. Li, Lei & Qi, Wenhai & Chen, Xiaoming & Kao, Yonggui & Gao, Xianwen & Wei, Yunliang, 2018. "Stability analysis and control synthesis for positive semi-Markov jump systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 363-375.
    4. 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. Li, Ze & Ren, Junchao, 2024. "Adaptive event-triggered non-fragile sliding mode control for uncertain T-S fuzzy singular systems with passive constraint," Applied Mathematics and Computation, Elsevier, vol. 472(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).
    3. Zhang, Jianan & Ma, Yuechao, 2023. "Adaptive fault-tolerant double asynchronous control for switched semi-Markov jump systems via improved memory sampled-data technique," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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