Nonlinear feedback stabilization of a rotating body-beam without damping

B. Chentouf, J. F. Couchouron

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

This paper deals with nonlinear feedback stabilization problem of a flexible beam clamped at a rigid body and free at the other end. We assume that there is no damping and the feedback law proposed here consists of a nonlinear control torque applied to the rigid body and either a boundary control moment or a nonlinear boundary control force or both of them applied to the free end of the beam. This nonlinear feedback, which insures the exponential decay of the beam vibrations, extends the linear case studied by Laousy et al. to a more general class of controls.

Original languageEnglish
Pages (from-to)515-535
Number of pages21
JournalESAIM - Control, Optimisation and Calculus of Variations
Issue number4
Publication statusPublished - 1999

Fingerprint

Nonlinear feedback
Feedback Stabilization
Boundary Control
Nonlinear Control
Rigid Body
Damping
Rotating
Stabilization
Flexible Beam
Feedback Law
Torque control
Force control
Exponential Decay
Torque
Vibration
Moment
Feedback
Class

Keywords

  • Exponential stability
  • Nonlinear control
  • Rotating body-beam

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Nonlinear feedback stabilization of a rotating body-beam without damping. / Chentouf, B.; Couchouron, J. F.

In: ESAIM - Control, Optimisation and Calculus of Variations, No. 4, 1999, p. 515-535.

Research output: Contribution to journalArticle

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