Dynamic stabilization of an Euler-Bernoulli beam equation with time delay in boundary observation

被引：83

作者：

Guo, Bao-Zhu ^{[1
,3
]}

Yang, Kun-Yi ^{[1
,2
]}

机构：

[1] Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] Chinese Acad Sci, Grad Sch, Beijing 100039, Peoples R China

[3] Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, Johannesburg, South Africa

来源：

AUTOMATICA | 2009年 / 45卷 / 06期

基金：

中国国家自然科学基金; 新加坡国家研究基金会;

关键词：

Euler-Bernoulli beam equation; Time delay; Observer; Feedback control; Exponential stability; FINITE SPECTRUM ASSIGNMENT; LINEAR FEEDBACK-CONTROL; MULTIVARIABLE SYSTEMS; STABILITY; OBSERVER; RESPECT; OUTPUTS;

D O I：

10.1016/j.automatica.2009.02.004

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An Euler-Bernoulli beam equation under boundary control and delayed observation is considered. An observer-predictor based scheme is developed to stabilize the equation. On a time interval where the observation is available, the state is tracked by the observer; when the observation is not available due to the delay, the state is estimated by the predictor. The estimation is then used in proportional feedback. It is shown that the state of closed-loop system decays exponentially for smooth initial values. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1468 / 1475

页数：8

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