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Stability analysis and controller design for networked control systems with random time delay

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  • Yeguo Sun
  • Shiyin Qin

Abstract

This article deals with the problem of stabilisation for a class of networked control systems with random time delay via the state feedback control. The transmission delay is modelled as a Markov process, and the resulting closed-loop system is modelled as a Markovian jump linear system. Based on the Lyapunov stability theorem combined with linear matrix inequality (LMI) techniques, some new delay-dependent stochastic stability criteria for the system are derived. A switching state feedback controller that makes the closed-loop system stochastically stable is designed, which is obtained by solving some LMIs. Numerical simulation results illustrate the effectiveness of the method proposed in this article.

Suggested Citation

  • Yeguo Sun & Shiyin Qin, 2011. "Stability analysis and controller design for networked control systems with random time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(3), pages 359-367.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:359-367
    DOI: 10.1080/00207720903513368
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    Cited by:

    1. Youngmo Han, 2015. "Robust gaze-steering of an active vision system against errors in the estimated parameters," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(2), pages 355-363, January.
    2. R. Ammour & S. Amari, 2015. "Modelling and temporal performances evaluation of networked control systems using (max, +) algebra," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(1), pages 18-30, January.
    3. repec:taf:tsysxx:v:48:y:2017:i:6:p:1281-1290 is not listed on IDEAS
    4. Yeguo Sun, 2014. "Finite-time boundedness and stabilisation of networked control systems with bounded packet dropout," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(9), pages 1963-1969, September.

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