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Adaptive controller based on the affine equivalent model with disturbance rejection for discrete-time switched systems

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  • Miriam Flores-Padilla
  • Chidentree Treesatayapun

Abstract

Switched systems often have hard-to-determine models, and the switching time is often unknown. Mismatched model dynamics and/or switching time may lead to performance degradation. Hence, the present work develops an adaptive controller for single-input single-output nonlinear discrete-time switched systems when the mathematical model, switching time and input–output disturbances are unknown. An affine equivalent model-based on Multi-input Fuzzy Rules Emulated Network characterises the unknown system. The control law is derived according to the tracking error, a proposed sliding surface and the affine equivalent model. The controller parameters were set according to the stability analyses (Uniformly Ultimate Bounded-Lyapunov method). Several experiments, including non-switched and switched systems with input and output disturbances, showed a mean perceptual error of less or equal to $ 1 \% $ 1% for all cases, with recovery in the switch cases. This successfully proves the closed-loop performance of the proposed controller on a discrete-time switched and disturbed system.

Suggested Citation

  • Miriam Flores-Padilla & Chidentree Treesatayapun, 2023. "Adaptive controller based on the affine equivalent model with disturbance rejection for discrete-time switched systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(16), pages 3059-3070, December.
    • Handle: RePEc:taf:tsysxx:v:54:y:2023:i:16:p:3059-3070
    DOI: 10.1080/00207721.2023.2268238
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