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Asynchronous adaptive dynamic output feedback sliding mode control for singular markovian jump systems with actuator faults and uncertain transition rates

Author

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  • Li, Min
  • Liu, Ming
  • Zhang, Yingchun

Abstract

In this paper, the issue of asynchronous adaptive dynamic output feedback sliding mode controller design for a class of singular markovian jump systems (SMJSs) with actuator faults and uncertain transition rates is addressed. A new asynchronous dynamic output feedback sliding mode control (SMC) strategy is developed due to the existing non-synchronization phenomenon of jump modes between the plant and the controller. In combination with adaptive control mechanism, the asynchronous adaptive dynamic output feedback SMC law is designed, which has the ability to compensate the effects of actuator faults and parameter uncertainties and ensure the reachability of the sliding surface. Sufficient conditions for the stochastically admissible and strictly dissipative of the closed-loop SMJSs are given, and the design scheme for controller gain matrices are presented. Finally, two examples are given to illustrate the effectiveness of the proposed design method.

Suggested Citation

  • Li, Min & Liu, Ming & Zhang, Yingchun, 2020. "Asynchronous adaptive dynamic output feedback sliding mode control for singular markovian jump systems with actuator faults and uncertain transition rates," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    • Handle: RePEc:eee:apmaco:v:371:y:2020:i:c:s0096300319309506
    DOI: 10.1016/j.amc.2019.124958
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    Cited by:

    1. Lü, Shao-Yu & Jin, Xiao-Zheng & Wu, Xiao-Ming & Ding, Li-Jian & Chi, Jing, 2022. "Robust adaptive event-triggered fault-tolerant control for time-varying systems against perturbations and faulty actuators," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    2. 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).
    3. Li, Jiahao & Liu, Yu & Yu, Jinyong & Sun, Yiming & Liu, Mengmeng, 2021. "A new result of terminal sliding mode finite-time state and fault estimation for a class of descriptor switched systems," Applied Mathematics and Computation, Elsevier, vol. 402(C).
    4. 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).

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