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Observer-based sliding mode control of Markov jump systems with random sensor delays and partly unknown transition rates

Author

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  • Deyin Yao
  • Renquan Lu
  • Yong Xu
  • Hongru Ren

Abstract

In this paper, the sliding mode control problem of Markov jump systems (MJSs) with unmeasured state, partly unknown transition rates and random sensor delays is probed. In the practical engineering control, the exact information of transition rates is hard to obtain and the measurement channel is supposed to subject to random sensor delay. Design a Luenberger observer to estimate the unmeasured system state, and an integral sliding mode surface is constructed to ensure the exponential stability of MJSs. A sliding mode controller based on estimator is proposed to drive the system state onto the sliding mode surface and render the sliding mode dynamics exponentially mean-square stable with H∞ performance index. Finally, simulation results are provided to illustrate the effectiveness of the proposed results.

Suggested Citation

  • Deyin Yao & Renquan Lu & Yong Xu & Hongru Ren, 2017. "Observer-based sliding mode control of Markov jump systems with random sensor delays and partly unknown transition rates," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(14), pages 2985-2996, October.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:2985-2996
    DOI: 10.1080/00207721.2017.1365972
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