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Disturbance-observer-based event-triggered control for semi-Markovian jump nonlinear systems

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  • Yao, Xiuming
  • Lian, Yue
  • Park, Ju H.

Abstract

This paper deals with a new disturbance-observer-based event-triggered control strategy for semi-Markovian jump systems(S-MJS), which with nonlinearity and multiple disturbances. The designed observer is firstly performed to review the disturbance caused by an exogenous dynamic system. Meantime, by combining the output of the disturbance observer with state feedback control law, the control strategy is implemented such that the considered closed-loop system is stochastically stable. Combined with the stochastic analysis techniques and linear matrix inequalities (LMIs), some adequate terms for the solvability of the proposed problem are derived. Lastly, the feasibility of this strategy is verified by the simulation.

Suggested Citation

  • Yao, Xiuming & Lian, Yue & Park, Ju H., 2019. "Disturbance-observer-based event-triggered control for semi-Markovian jump nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    • Handle: RePEc:eee:apmaco:v:363:y:2019:i:c:22
    DOI: 10.1016/j.amc.2019.124597
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    References listed on IDEAS

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    1. Zhou, Jiamu & Dong, Hailing & Feng, Jianwen, 2017. "Event-triggered communication for synchronization of Markovian jump delayed complex networks with partially unknown transition rates," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 617-629.
    2. Song, Xiaona & Men, Yunzhe & Zhou, Jianping & Zhao, Junjie & Shen, Hao, 2017. "Event-triggered H∞ control for networked discrete-time Markov jump systems with repeated scalar nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 123-132.
    3. Liu, Xuan & Zhai, Ding & He, Da-Kuo & Chang, Xiao-Heng, 2018. "Simultaneous fault detection and control for continuous-time Markovian jump systems with partially unknown transition probabilities," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 469-486.
    4. Zhina Zhang & Yugang Niu, 2018. "Adaptive sliding mode control for interval type-2 stochastic fuzzy systems subject to actuator failures," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(15), pages 3169-3181, November.
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    Citations

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    Cited by:

    1. Yu, Peng & Ma, Yuechao, 2020. "Observer-based asynchronous control for Markov jump systems," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    2. Hu, Jun & Li, Jiaxing & Kao, Yonggui & Chen, Dongyan, 2022. "Optimal distributed filtering for nonlinear saturated systems with random access protocol and missing measurements: The uncertain probabilities case," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    3. Abinandhitha, R. & Sakthivel, R. & Tatar, N. & Manikandan, R., 2022. "Anti-disturbance observer-based control for fuzzy chaotic semi-Markov jump systems with multiple disturbances and mixed actuator failures," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    4. Kaviarasan, Boomipalagan & Kwon, Oh-Min & Park, Myeong Jin & Sakthivel, Rathinasamy, 2023. "Reduced-order filtering for semi-Markovian jump systems against randomly occurring false data injection attacks," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    5. Zhang, Xiaoli & Yi, Yang & Shen, Mouquan & Wang, Qin, 2022. "Event-triggered anti-disturbance tracking control for semi-Markovian jump systems with exogenous disturbances and input saturation," Applied Mathematics and Computation, Elsevier, vol. 424(C).
    6. Aravinth, N. & Satheesh, T. & Sakthivel, R. & Ran, G. & Mohammadzadeh, A., 2023. "Input-output finite-time stabilization of periodic piecewise systems with multiple disturbances," Applied Mathematics and Computation, Elsevier, vol. 453(C).
    7. Yan, Shen & Yang, Fan & Gu, Zhou, 2020. "Derivative-based event-triggered control for networked systems with quantization," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    8. Zhang, Qiliang & Feng, Jun-e & Wang, Biao & Wang, Peihe, 2020. "Event-triggered mechanism of designing set stabilization state feedback controller for switched Boolean networks," Applied Mathematics and Computation, Elsevier, vol. 383(C).

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