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

3 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

Fingerprint

Flexible Structure
Flexible structures
Torque control
Dynamic Control
Boundary Control
Force control
Angular velocity
Asymptotic stability
Closed loop systems
Rigid Body
Rotating
Stabilization
Feedback
Term
Feedback Stabilization
Force Control
Energy Method
Existence and Uniqueness of Solutions
Exponential Stability
Closed-loop System

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

Cite this

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AB - 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.

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KW - stability

KW - time-dependent delay

KW - torque control

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