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

页码：1563 / 1568

页数：6

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