Journal of Applied Mathematics

Journal of Applied Mathematics / 2004 / Article

Open Access

Volume 2004 |Article ID 190417 | https://doi.org/10.1155/S1110757X04312027

Boumediène Chentouf, "Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity", Journal of Applied Mathematics, vol. 2004, Article ID 190417, 20 pages, 2004. https://doi.org/10.1155/S1110757X04312027

Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity

Received07 Dec 2003
Revised24 Feb 2004

Abstract

This paper deals with feedback stabilization of a flexible beam clamped at a rigid body and free at the other end. We assume that there is no damping and the rigid body rotates with a nonconstant angular velocity. To stabilize this system, we propose a feedback law which consists of a control torque applied on the rigid body and either a dynamic boundary control moment or a dynamic boundary control force or both of them applied at the free end of the beam. Then it is shown that the closed loop system is well posed and exponentially stable provided that the actuators, which generate the boundary controls, satisfy some classical assumptions and the angular velocity is smaller than a critical one.

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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