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

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...

Full description

Saved in:
Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2024-12, Vol.189, p.115741, Article 115741
Main Authors: Cai, Rui-Yang, Zhou, Hua-Cheng
Format: Article
Language:English
Subjects:
Active disturbance rejection control
Boundary stabilization
Caputo-Hadamard fractional reaction–diffusion systems
Control-matched disturbance rejection
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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. •The stabilization and disturbance rejection are considered.•We propose a new disturbance estimators and estimator-based controllers.•We prove the well-posedness and boundedness for the system without control law.•We prove the closed-loop to be asymptotical stable.
ISSN:0960-0779
DOI:10.1016/j.chaos.2024.115741