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
收藏
页码：1055 / 1068
页数：14
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