Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity

Boumediène Chentouf

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

This paper deals with feedback stabilization of a flexible beam clamped at a rigid body and free at the other end. We assume that there is no damping and the rigid body rotates with a nonconstant angular velocity. To stabilize this system, we propose a feedback law which consists of a control torque applied on the rigid body and either a dynamic boundary control moment or a dynamic boundary control force or both of them applied at the free end of the beam. Then it is shown that the closed loop system is well posed and exponentially stable provided that the actuators, which generate the boundary controls, satisfy some classical assumptions and the angular velocity is smaller than a critical one.

Original languageEnglish
Pages (from-to)107-126
Number of pages20
JournalJournal of Applied Mathematics
Volume2004
Issue number2
DOIs
Publication statusPublished - 2004

ASJC Scopus subject areas

  • Applied Mathematics

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