Exponential stability of a non-homogeneous rotating body-beam system with variable coefficients

Xin Chen*, Jun Min Wang

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we consider a system of a flexible beam attached to the center of a rotating rigid disk. The disk rotates freely around its axis with a non-uniform angular velocity and the motion of the beam with non-homogeneous spatial coefficients is confined to a plane perpendicular to the disk. The system can be exponentially stabilized under the boundary feedback and the torque control. Furthermore, Riesz basis property can be proved for the closed-loop system with uniform angular velocity by the method of spectral analysis.

Original languageEnglish
Title of host publicationProceedings of the 33rd Chinese Control Conference, CCC 2014
EditorsShengyuan Xu, Qianchuan Zhao
PublisherIEEE Computer Society
Pages2652-2657
Number of pages6
ISBN (Electronic)9789881563842
DOIs
Publication statusPublished - 11 Sept 2014
EventProceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China
Duration: 28 Jul 201430 Jul 2014

Publication series

NameProceedings of the 33rd Chinese Control Conference, CCC 2014
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

ConferenceProceedings of the 33rd Chinese Control Conference, CCC 2014
Country/TerritoryChina
CityNanjing
Period28/07/1430/07/14

Keywords

  • Dynamic boundary control
  • Exponential stability
  • Nonhomogeneous coefficients
  • Riesz basis
  • Rotating body-beam
  • Spectral analysis

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