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Robust control synthesis for discrete-time uncertain semi-Markov jump systems

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  • Yueyuan Zhang
  • Cheng-Chew Lim
  • Fei Liu

Abstract

This paper studies the control synthesis for uncertain semi-Markov jump systems in a discrete-time domain subjected to external disturbance. The switching between modes is determined by a function of the transition probability and the sojourn-time distribution between two neighbouring modes. Based on the σ-error mean square stability criterion, time-varying controllers are designed to stabilise the system. By constructing a holding time dependent Lyapunov function, time-varying state-feedback controllers are obtained that meet a set of sufficient conditions in the form of linear matrix inequalities. Two examples, including a DC motor system, are presented to show the validity of the proposed control scheme.

Suggested Citation

  • Yueyuan Zhang & Cheng-Chew Lim & Fei Liu, 2019. "Robust control synthesis for discrete-time uncertain semi-Markov jump systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(10), pages 2042-2052, July.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:10:p:2042-2052
    DOI: 10.1080/00207721.2019.1646349
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    Cited by:

    1. Wang, Qiyi & Peng, Li & Zhao, Huarong & Yang, Shenhao, 2023. "Adaptive event-triggered filtering for semi-Markov jump systems under communication constraints," Applied Mathematics and Computation, Elsevier, vol. 459(C).

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