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Sliding mode control of Lur'e nonlinear switched systems under dynamic schedule protocol

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  • Haijuan Zhao
  • Juan Ma

Abstract

In this work, the sliding mode control (SMC) problem is investigated for a class of Lur'e nonlinear switched systems subject to finite channels constraints, which may lead to data collision. To solve this phenomenon, the Weighted Try-Once-Discard (WTOD) protocol is proposed on the sensor-to-controller (S/C) channels to regulate which one sensor node is permitted to send data via the communication network at each instant. A key issue of this work is how to integrate the WTOD protocol into the design of observer and the sliding mode controller for the switched systems. To this end, a token-dependent observer is constructed to estimate the unmeasured states, and then an observer-based SMC law is properly designed. Moreover, by constructing a Lur'e-type Lyapunov function interconnected with a cone-bounded nonlinearity, some sufficient conditions are established such that the reachability with a sliding domain around the specified sliding surface is achieved, meanwhile, the exponential stability of the resultant closed-loop switched systems is guaranteed. Finally, some numerical simulation results are provided.

Suggested Citation

  • Haijuan Zhao & Juan Ma, 2023. "Sliding mode control of Lur'e nonlinear switched systems under dynamic schedule protocol," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(6), pages 1330-1343, April.
    • Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1330-1343
    DOI: 10.1080/00207721.2023.2177899
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