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Exponential stabilisation of delayed Lur'e systems with multi-rate sampled-data control

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  • Qizhe Chen
  • Xia Huang
  • Lan Yao
  • Yuxia Li

Abstract

In this paper, we focus on the multi-rate sampled-data based exponential stabilisation problem of delayed Lur'e systems. First, a merging time sequence $ \{t_k\} $ {tk} is constructed from the sampling instants of multiple sensors to form the so-called analysis interval and the closed-loop system is represented by a system with multiple time-varying delays over the constructed analysis interval. Then, a useful estimation about the norm of the system state is established. On this basis, a stabilisation criterion is proposed by constructing a two-sided looped-functional. The proposed functional drops positive definite restrictions over the whole analysis interval $ [t_k,t_{k+1}) $ [tk,tk+1). Therefore, it can reduce the conservatism of the derived criterion. And, the feasible solution of the multi-rate sampled-data controller gain can be provided by solving a set of LMIs. Finally, the given example shows the advantage of the main results.

Suggested Citation

  • Qizhe Chen & Xia Huang & Lan Yao & Yuxia Li, 2022. "Exponential stabilisation of delayed Lur'e systems with multi-rate sampled-data control," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(15), pages 3190-3204, November.
  • Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3190-3204
    DOI: 10.1080/00207721.2022.2076173
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