通过 ADRC 方法实现卡普托-哈达玛德分数热方程的边界扰动抑制

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2024-11-16 DOI:10.1016/j.chaos.2024.115741

Rui-Yang Cai , Hua-Cheng Zhou

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引用次数: 0

摘要

本文主要研究带时延的 Caputo-Hadamard 分式热方程的边界控制匹配干扰抑制问题。利用主动扰动抑制控制（ADRC）方法的新思想，构建了两个无穷维系统。其中一个系统将干扰从控制输入中分离出来，另一个系统在没有高增益的情况下估计未知干扰。通过采用反步进方法和干扰补偿器，设计出了理想的稳定控制器，并实现了原始系统的渐近稳定性。

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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 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.

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.