A KIND OF OBSERVER-BASED ACTIVE DISTURBANCE REJECTION CONTROL METHOD FOR THE STABILIZATION OF A CLASS OF TIMOSHENKO BEAMS

被引：0

作者：

Chen, Jun ^{[1
]}

Wang, Jun-min ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, MIIT Key Lab Math Theory & Computat Informat Secur, Beijing 100081, Peoples R China

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2025年 / 14卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Timoshenko beam; active disturbance rejection control; hybrid observer; exponential stability; RIESZ BASIS PROPERTY; SLIDING MODE CONTROL; BOUNDARY CONTROL; SYSTEMS SUBJECT; FEEDBACK;

D O I：

10.3934/eect.2025025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study boundary feedback stabilization for a Timoshenko beam with external disturbances in the boundary inputs. We use a class of hybrid observers to estimate disturbances without high gain. Based on the idea of active disturbance rejection control, we design a kind of feedback law to compensate for the total disturbances. Based on the semigroup theories, we prove the existence of solutions and the global exponential stability of the closed-loop system. A numerical example is given to illustrate the efficiency of our strategy.

引用

页码：1055 / 1068

页数：14

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