Exponential stabilization of an axially moving string by linear boundary feedback

被引：49
|
作者：
Fung, RF [1 ]
Wu, JW
Wu, SL
机构：
[1] Chung Yuan Christian Univ, Dept Mech Engn, Chungli 32023, Taiwan
[2] Chung Yuan Christian Univ, Dept Math, Chungli 32023, Taiwan
来源：
AUTOMATICA | 1999年 / 35卷 / 01期
关键词：
exponential stabilization; axially moving string; boundary feedback;
D O I：
10.1016/S0005-1098(98)00173-3
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 system modeled by an axially moving string and a mass-damper-spring (MDS) controller applied at the right-hand side (RHS) boundary of the string is considered. The feature of the controller is not restricted at all, and is determined by the system implicitly. The mathematical model of this system is composed of an ordinary differential equation (ODE) describing the MDS and a partial differential equation (PDE) describing the string. The C-0 semigroup theory provides an elegant state space representation for the analysis of the coupled system. The exponential stability is verified through the total mechanical energy dissipation and the semigroup theory. The lower bound of the feedback gain is obtained. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：177 / 181
页数：5
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