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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. 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.
    2. 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).
    3. 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).
    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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