Riesz basis approach to feedback stabilization for a cantilever beam system

被引：0
|
作者：
Wang, Jun-Min [1 ]
Xiong, Meng-Qing [1 ]
Yang, Chao [1 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
来源：
PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017) | 2017年
基金：
中国国家自然科学基金;
关键词：
Rayleigh beam; feedback control; exponential stability; POLYNOMIAL BOUNDARY-CONDITIONS; TIP MASS; DIFFERENTIAL-EQUATIONS; FLEXIBLE BEAM; AXIAL FORCE; VIBRATION;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we study the stabilization of an elastic beam system with axial force and a tip mass. The system is modeled as a Rayleigh beam equation. We propose a boundary feedback control moment to stabilize the closed-loop system. We first present the asymptotic expressions for the eigenpairs of the system and then show that the generalized eigenfunctions form a Riesz basis in the state space. Finally, we prove the exponential stability of the closed-loop system.
引用
收藏
页码：1563 / 1568
页数：6
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