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Observer-based asynchronous control for Markov jump systems

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  • Yu, Peng
  • Ma, Yuechao

Abstract

This paper addresses the observer-based asynchronous control for Markov jump systems with nonlinear term, disturbance and time delay. Firstly, a mixed observer is proposed to estimate the state and disturbance. The estimated compensator has the ability to compensate the effect of disturbance. Secondly, an observer-based asynchronous controller is given, which handles asynchronous phenomenon of system mode and controller mode. By applying a complex Lyapunov functional, convex combination and Writinger inequality, some sufficient conditions are obtained to ensure that the original system with an H∞ performance and the error systems achieve asymptotic stability. Finally, three examples are provided to expound the consistency of the technique.

Suggested Citation

  • Yu, Peng & Ma, Yuechao, 2020. "Observer-based asynchronous control for Markov jump systems," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    • Handle: RePEc:eee:apmaco:v:377:y:2020:i:c:s0096300320301533
    DOI: 10.1016/j.amc.2020.125184
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    Cited by:

    1. Wang, Lanxin & Long, Yue & Li, Tieshan & Yang, Hanqing & Philip Chen, C.L., 2024. "Asynchronous attack tolerant control for Markov jump cyber-physical systems under hybrid cyber-attacks," Applied Mathematics and Computation, Elsevier, vol. 470(C).
    2. Zhao, Yinghong & Ma, Yuechao, 2021. "Asynchronous H∞ control for hidden singular Markov jump systems with incomplete transition probabilities via state decomposition approach," Applied Mathematics and Computation, Elsevier, vol. 407(C).
    3. Nguyen, Ngoc Hoai An & Kim, Sung Hyun, 2021. "Asynchronous H∞ observer-based control synthesis of nonhomogeneous Markovian jump systems with generalized incomplete transition rates," Applied Mathematics and Computation, Elsevier, vol. 411(C).

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