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Quantised output-feedback design for networked control systems using semi-Markov model approach

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  • Weiyang Sun
  • Zepeng Ning

Abstract

This paper focuses on the stability analysis and controller design for a family of discrete-time linear systems with quantised signals in both control input channel and measurement output channel. Quantisation density of each quantizer is considered to be variable, and the variation is governed by a semi-Markov chain. The quantisation density can be adjusted to reduce the amount of transmitted data if the requirement of system performance allows. By constructing a quantisation-error-dependent Lyapunov function, sufficient conditions for σ-error mean-square stability of the considered system are given. With the aid of cone complementarity linearisation algorithm, a set of mode-dependent output-feedback controllers is designed to achieve the required σ-error mean-square stability of the closed-loop system. Finally, a numerical example is provided to illustrate the validity of the proposed control method.

Suggested Citation

  • Weiyang Sun & Zepeng Ning, 2020. "Quantised output-feedback design for networked control systems using semi-Markov model approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(9), pages 1637-1652, July.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:9:p:1637-1652
    DOI: 10.1080/00207721.2020.1772400
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