Stabilization of a non-linear rotating flexible structure under the presence of time-dependent delay term in a dynamic boundary control

Boumediène Chentouf

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

This paper is concerned with the feedback stabilization problem for a rotating rigid body-beam system via a torque control exerted on the rigid body and a time-dependent delayed dynamic boundary force control acting at the free end of the beam. Sufficient conditions on the angular velocity of the rigid body and the delay term are derived to assure the existence and uniqueness of solutions to the system. Furthermore, the energy method approach is employed to establish the exponential stability of the closed-loop system under stronger but reasonable assumptions.

Original languageEnglish
Pages (from-to)349-363
Number of pages15
JournalIMA Journal of Mathematical Control and Information
Volume33
Issue number2
DOIs
Publication statusPublished - 2014

Keywords

  • dynamic boundary force control
  • rotating rigid body-beam structure
  • stability
  • time-dependent delay
  • torque control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization
  • Applied Mathematics

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