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
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.
引用
收藏
页码:648 / 653
页数:6
相关论文
共 6 条
[1]   MODELING, STABILIZATION AND CONTROL OF SERIALLY CONNECTED BEAMS [J].
CHEN, G ;
DELFOUR, MC ;
KRALL, AM ;
PAYRE, G .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1987, 25 (03) :526-546
[2]  
Fanson J., 1987, THESIS CALTECH CALIF
[3]   The active disturbance rejection and sliding mode control approach to the stabilization of the Euler-Bernoulli beam equation with boundary input disturbance [J].
Guo, Bao-Zhu ;
Jin, Feng-Fei .
AUTOMATICA, 2013, 49 (09) :2911-2918
[4]  
Komornik V., 1994, Exact Controllability and Stabilization. The Multiplier Method
[5]   Stabilization and disturbance rejection for the beam equation [J].
Morgül, Ö .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (12) :1913-1918
[6]  
Pazy A., 2012, Semigroups of Linear Operators and Applications to Partial Differential Equations, DOI DOI 10.1007/978-1-4612-5561-1