Boundary feedback stabilization of a rotating body-beam system

Author

Laousy, H. ; Xu, C.Z. ; Sallet, G.

Author_Institution

Inst. Nat. de Recherche en Inf. et Autom., Lorraine, France

Volume

41

Issue

2

fYear

1996

fDate

2/1/1996 12:00:00 AM

Firstpage

241

Lastpage

245

Abstract

This paper deals with boundary feedback stabilization of a flexible beam clamped to a rigid body and free at the other end. The system is governed by the beam equation nonlinearly coupled with the dynamical equation of the rigid body. The authors propose a stabilizing boundary feedback law which suppresses the beam vibrations so that the whole structure rotates about a fixed axis with any given small constant angular velocity. The stabilizing feedback law is composed of control torque applied on the rigid body and either boundary control moment or boundary control force (or both of them) at the free end of the beam. It is shown that in any case the beam vibrations are forced to decay exponentially to zero

Keywords

distributed parameter systems; feedback; flexible structures; stability; torque control; vibration control; beam equation; boundary control force; boundary control moment; boundary feedback stabilization; control torque; dynamical equation; flexible beam; rigid body; rotating body-beam system; Angular velocity; Angular velocity control; Control systems; Damping; Force control; Force feedback; Nonlinear equations; Optical coupling; Space vehicles; Torque control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.481526

Filename

481526