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A dynamic event-triggered H∞ control for singular Markov jump systems with redundant channels

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  • Yanqian Wang
  • Guangming Zhuang
  • Fu Chen

Abstract

In this paper, the problem of asynchronous $H_{\infty } $H∞ control for singular Markov jump systems with redundant channels under the dynamic event-triggered scheme is studied. To save the resource of bandwidth limited network, a dynamic event-triggered scheme is proposed. The technique of redundant channels is employed to improve the successful rate of the communication network, which are modelled as two mutually independent Bernoulli-distributed random variables. A hidden Markov model is proposed to formulate the asynchronisation phenomena between the system modes and the controller modes, which results in the fact that the closed-loop system is a singular hidden Markov jump system. The criteria of regular, causal and stochastically stable with a certain $H_{\infty } $H∞ performance for the closed-loop system are obtained. The co-design of asynchronous controllers and the dynamic event-triggered scheme is proposed in terms of a group of feasible linear matrix inequalities. A numerical example and a practical example are presented to show the effectiveness of the developed method.

Suggested Citation

  • Yanqian Wang & Guangming Zhuang & Fu Chen, 2020. "A dynamic event-triggered H∞ control for singular Markov jump systems with redundant channels," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(1), pages 158-179, January.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:1:p:158-179
    DOI: 10.1080/00207721.2019.1701729
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    Cited by:

    1. Wang, Yanqian & Chen, Fu & Zhuang, Guangming & Yang, Guang, 2020. "Dynamic event-based mixed H∞ and dissipative asynchronous control for Markov jump singularly perturbed systems," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    2. Yin, Kai & Yang, Dedong, 2023. "Sampled-data-based dynamic event-triggered asynchronous control of continuous-time positive Markov jump systems," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    3. Haghighi, Payam & Tavassoli, Babak & Farhadi, Alireza, 2020. "A practical approach to networked control design for robust H∞ performance in the presence of uncertainties in both communication and system," Applied Mathematics and Computation, Elsevier, vol. 381(C).

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