The strong stabilization of a one-dimensional wave equation by non-collocated dynamic boundary feedback control

被引：55
|
作者：
Guo, Bao-Zhu [1 ,3 ]
Guo, Wei [2 ,3 ]
机构：
[1] Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
[2] Univ Int Business & Econ, Sch Informat Technol & Management, Beijing 100029, Peoples R China
[3] Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, Johannesburg, South Africa
来源：
AUTOMATICA | 2009年 / 45卷 / 03期
基金：
新加坡国家研究基金会; 中国国家自然科学基金;
关键词：
Vibrating string; Distributed parameter system; Boundary control; Backstepping; SYSTEMS; DECAY;
D O I：
10.1016/j.automatica.2008.10.015
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The stabilization of a one-dimensional wave equation with non-collocated observation at its unstable free end and control at another end is considered. The controller comprises a state estimator which is designed in the case where the velocity is not available. The method of "backstepping" is adopted in our design of the feedback law. We use the theory of Co-semigroups and Lyapunov functionals to prove the strong stability of the resulting closed-loop system. (C) 2008 Elsevier Ltd. All rights reserved.
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页码：790 / 797
页数：8
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