Stabilization of an Euler-Bernoulli beam equation via a corrupted boundary position feedback

被引：4
|
作者：
Li, Lei [1 ]
Jia, Xinchun [1 ]
Liu, Jiankang [1 ]
机构：
[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 270卷
基金：
中国国家自然科学基金;
关键词：
Boundary control; Disturbance; Euler-Bernoulli beam equation; DISTURBANCE; REJECTION;
D O I：
10.1016/j.amc.2015.08.071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with the stabilization of an Euler-Bernoulli beam equation with a constant disturbance on the boundary observation. A dynamic boundary controller is designed by using only the displacement measurement. We obtain that the resulting closed-loop system is asymptotically stable. Meanwhile, the estimated function is shown to be convergent to the unknown disturbance as time goes to infinite. (C) 2015 Elsevier Inc. All rights reserved.
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页码：648 / 653
页数：6
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