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

Rui-Yang Cai and Hua-Cheng Zhou

Chaos, Solitons & Fractals, 2024, vol. 189, issue P2

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.

Keywords: Control-matched disturbance rejection; Active disturbance rejection control; Boundary stabilization; Caputo-Hadamard fractional reaction–diffusion systems (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:189:y:2024:i:p2:s0960077924012931

DOI: 10.1016/j.chaos.2024.115741

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