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Event-triggered anti-disturbance tracking control for semi-Markovian jump systems with exogenous disturbances and input saturation

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  • Zhang, Xiaoli
  • Yi, Yang
  • Shen, Mouquan
  • Wang, Qin

Abstract

Under the frame of event-triggered mechanism, this paper proposes a novel multi-objective anti-disturbance control algorithm for a class of typical semi-Markovian jump systems (S-MJSs) suffering with exogenous disturbances and input saturation. Different from those existing results of S-MJSs, the multi-objective control requirements need to be achieved. Firstly, both the T-S disturbance models and the corresponding disturbance observer (DO) are successively introduced to dynamically estimate those irregular disturbances. Secondly, by combining the saturated convex hull description with the designed event-triggered condition, an event-triggered anti-disturbance controller is designed to achieve effective monitoring of the augmented S-MJSs. Furthermore, not only the stochastic stability of closed-loop S-MJSs and disturbance estimation systems, but also the state/output constraints can be simultaneously guaranteed based on the designed asthenic infinitesimal generator optimization algorithm. Meanwhile, the dynamical tracking error is verified to converge to zero and the Zeno phenomenon can also be effectively avoided. Finally, simulation results for different types of disturbances are given to verify the meaning of the proposed algorithm.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:424:y:2022:i:c:s0096300322001151
    DOI: 10.1016/j.amc.2022.127029
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Adloo, Hassan & Shafiei, Mohammad Hossein, 2023. "Observer-based adaptive event-triggered control method for input-saturated systems," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    2. Mei, Yu & Wang, Guanqi & Shen, Hao, 2023. "Adaptive Event-Triggered L2āˆ’Lāˆž Control of Semi-Markov Jump Distributed Parameter Systems," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    3. Gao, Yuxuan & Zhao, Ying & Liu, Yu & Pan, Zhuo-Rui & Wang, Rui, 2023. "Output tracking anti-disturbance control for turbofan systems," Applied Mathematics and Computation, Elsevier, vol. 456(C).

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