Stabilizability and stabilization of a rotating body-beam system with torque control

Author

Xu, Cheng-Zhong ; Baillieul, John

Author_Institution

CONGE, INRIA, Metz, France

Volume

38

Issue

12

fYear

1993

fDate

12/1/1993 12:00:00 AM

Firstpage

1754

Lastpage

1765

Abstract

The stabilizability and stabilization of a rotating body-beam system with torque control are discussed. This system has a linear inertial manifold. An operator-theoretic argument is used to provide an alternative proof of this fact. By taking into account the effect of damping (structural or viscous), the stability result of J. Baillieul and M. Levi (1987) is proved using the LaSalle principle (1968). It is shown that there exists a critical angular velocity for the use of torque control to stabilize the system in the neutral configuration with constant angular velocity. For any constant angular velocity smaller than the critical one a feedback torque control law is given which exponentially strongly stabilizes the system in the neutral configuration with the system rotating at the given constant angular velocity

Keywords

damping; distributed parameter systems; feedback; large-scale systems; rotation; stability; torque control; constant angular velocity; critical angular velocity; damping; linear inertial manifold; neutral configuration; operator theory; rotating body-beam system; stabilizability; stabilization; torque control; Angular velocity; Control systems; Damping; Feedback; Helium; Hilbert space; Lagrangian functions; Mechanical energy; Stability; Torque control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.250555

Filename

250555