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The Event-Triggered Resilient Control of Discrete-Time Nonlinear Semi-Markov Jump Systems Based on Incremental Quadratic Constraints

Author

Listed:
  • Shuguang Liu

    (School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215325, China)

  • Yueyuan Zhang

    (School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215325, China)

  • Yuan Sun

    (School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215325, China)

Abstract

This paper explores resilient control problems for discrete-time nonlinear semi-Markov jump systems characterized by incremental quadratic constraints. Considering the system’s uncertainties and external environmental factors, mode-dependent resilient controllers are developed to ensure the system’s mean-square stability. A proposed event-triggering mechanism is suggested to alleviate the communication burden within the system. Additionally, the system’s nonlinearity is characterized by using incremental quadratic constraints to derive a less conservative feasible solution. Sufficient conditions for the system’s mean-square stability are established by employing the Lyapunov stability theory. Finally, a numerical simulation example is given to prove the conclusion’s validity.

Suggested Citation

  • Shuguang Liu & Yueyuan Zhang & Yuan Sun, 2024. "The Event-Triggered Resilient Control of Discrete-Time Nonlinear Semi-Markov Jump Systems Based on Incremental Quadratic Constraints," Mathematics, MDPI, vol. 12(14), pages 1-16, July.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:14:p:2297-:d:1440477
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    References listed on IDEAS

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    1. He, Hangfeng & Qi, Wenhai & Kao, Yonggui, 2021. "HMM-based adaptive attack-resilient control for Markov jump system and application to an aircraft model," Applied Mathematics and Computation, Elsevier, vol. 392(C).
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