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.
引用
收藏
页码：648 / 653
页数：6
相关论文
共 50 条
  • [31] The Euler-Bernoulli beam equation with boundary dissipation of fractional derivative type
    Achouri, Zineb
    Amroun, Nour Eddine
    Benaissa, Abbes
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (11) : 3837 - 3854
  • [32] Evaluation of Integral Force Feedback and Multiple Positive Position Feedback on an Euler-Bernoulli Beam
    Garcia-Perez, O. A.
    Silva-Navarro, G.
    Peza-Solis, J. F.
    2017 14TH INTERNATIONAL CONFERENCE ON ELECTRICAL ENGINEERING, COMPUTING SCIENCE AND AUTOMATIC CONTROL (CCE), 2017,
  • [33] Dynamic boundary stabilization of Euler-Bernoulli beam through a Kelvin-Voigt damped wave equation
    Lu, Lu
    Wang, Jun-Min
    26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC), 2014, : 223 - 228
  • [34] Existence and Exponential Stability for a Euler-Bernoulli Beam Equation with Memory and Boundary Output Feedback Control Term
    Park, Jong Yeoul
    Kang, Yong Han
    Kim, Jung Ae
    ACTA APPLICANDAE MATHEMATICAE, 2008, 104 (03) : 287 - 301
  • [35] Existence and Exponential Stability for a Euler-Bernoulli Beam Equation with Memory and Boundary Output Feedback Control Term
    Jong Yeoul Park
    Yong Han Kang
    Jung Ae Kim
    Acta Applicandae Mathematicae, 2008, 104 : 287 - 301
  • [36] Disturbance Estimator Based Output Feedback Stabilizing Control for an Euler-Bernoulli Beam Equation with Boundary Uncertainty
    Feng, Hongyinping
    Guo, Bao-Zhu
    Guo, Wei
    2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
  • [37] Solvability of the clamped Euler-Bernoulli beam equation
    Baysal, Onur
    Hasanov, Alemdar
    APPLIED MATHEMATICS LETTERS, 2019, 93 : 85 - 90
  • [38] Matching Boundary Conditions for the Euler-Bernoulli Beam
    Feng, Yaoqi
    Wang, Xianming
    SHOCK AND VIBRATION, 2021, 2021
  • [39] SOLUTION OF DIFFERENTIAL EQUATION FOR THE EULER-BERNOULLI BEAM
    Zamorska, Izabela
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, 2014, 13 (04) : 157 - 162
  • [40] Two Approaches to the Stabilization of Euler-Bernoulli Beam Equation with Control Matched Disturbance
    Guo, Bao-Zhu
    Jin, Feng-Fei
    2013 AMERICAN CONTROL CONFERENCE (ACC), 2013, : 1296 - 1301
12345