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A hybrid control approach for discrete-time piecewise-affine systems with actuator saturation

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  • Wenju Hu
  • Xuyang Lou
  • Yanjun Liu
  • Quanmin Zhu

Abstract

This paper addresses the hybrid control design of discrete-time piecewise-affine systems subject to actuator saturation under event-triggering mechanism. Conditions to ensure regional stability are proposed, and the region of asymptotic stability is determined for piecewise-affine systems by modelling actuator saturation as a piecewise-affine model for each subsystem. Event-triggered feedback control gains can be obtained for single-input piecewise-affine systems by solving a linear matrix inequality issue based on the event-triggering mechanism. In particular, an optimisation method for determining a larger domain of attraction is provided, using ellipsoidal approximations to estimate the domain of attraction. The effectiveness of the proposed results is demonstrated through simulation examples.

Suggested Citation

  • Wenju Hu & Xuyang Lou & Yanjun Liu & Quanmin Zhu, 2025. "A hybrid control approach for discrete-time piecewise-affine systems with actuator saturation," International Journal of Systems Science, Taylor & Francis Journals, vol. 56(14), pages 3498-3511, October.
    • Handle: RePEc:taf:tsysxx:v:56:y:2025:i:14:p:3498-3511
    DOI: 10.1080/00207721.2025.2470407
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