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Boundary disturbance rejection for Caputo-Hadamard fractional heat equations via ADRC approach

Author

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  • Cai, Rui-Yang
  • Zhou, Hua-Cheng

Abstract

This paper focuses on the boundary control matched disturbance rejection problem for Caputo-Hadamard fractional heat equations with time delay. By utilizing the novel idea of the active disturbance rejection control (ADRC) approach, two infinite-dimensional systems are constructed. One separates the disturbance from the control input, and the other estimates the unknown disturbance without high gain. By employing the backstepping method, together with the disturbance-compensator, a desired stabilizing controller is designed, and the asymptotical stability is achieved for the original system.

Suggested Citation

  • Cai, Rui-Yang & Zhou, Hua-Cheng, 2024. "Boundary disturbance rejection for Caputo-Hadamard fractional heat equations via ADRC approach," Chaos, Solitons & Fractals, Elsevier, vol. 189(P2).
    • Handle: RePEc:eee:chsofr:v:189:y:2024:i:p2:s0960077924012931
    DOI: 10.1016/j.chaos.2024.115741
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