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Event-Triggered Output Feedback H∞ Control for Markov-Type Networked Control Systems

Author

Listed:
  • Xuede Zhou

    (School of Physics and Electronic Engineering, Fuyang Nornal University, Fuyang 236037, China
    Anhui Research Center of Generic Technology in Photovoltaic Industry, Fuyang Nornal University, Fuyang 236037, China)

  • Shanshan Liu

    (School of Physics and Electronic Engineering, Fuyang Nornal University, Fuyang 236037, China)

  • Yan Wang

    (School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, China)

  • Yong Zhu

    (School of Physics and Electronic Engineering, Fuyang Nornal University, Fuyang 236037, China
    Anhui Research Center of Generic Technology in Photovoltaic Industry, Fuyang Nornal University, Fuyang 236037, China)

Abstract

This paper studies the output feedback H ∞ control problem of event-triggered Markov-type networked control systems. Firstly, a new Lyapunov–Krasovskii functional is constructed, which contains an event-triggered scheme, Markovian jump system, and quantified information. Secondly, the upper bound of the weak infinitesimal generation operator of the Lyapunov–Krasovskii function is estimated by combining Wirtinger’s-based integral inequality and reciprocally convex inequality. Finally, based on the Lyapunov stability theory, the closed-loop stability criterion of event-triggered Markov-type networked control systems and the design method of the output feedback H ∞ controller for the disturbance attenuation level γ are given in the terms of linear matrix inequalities. The effectiveness and superiority of the proposed method are verified using three numerical examples.

Suggested Citation

  • Xuede Zhou & Shanshan Liu & Yan Wang & Yong Zhu, 2024. "Event-Triggered Output Feedback H∞ Control for Markov-Type Networked Control Systems," Mathematics, MDPI, vol. 12(17), pages 1-22, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2666-:d:1465324
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    References listed on IDEAS

    as
    1. Guangtai Tian, 2020. "Tracking control of discrete-time Markovian jump systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(15), pages 3070-3080, November.
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