Control and stabilization of a flexible beam attached to a rigid body
Open Access
- 1 January 1990
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 51 (1) , 11-31
- https://doi.org/10.1080/00207179008934048
Abstract
We consider a flexible spacecraft modelled as a rigid body rotating in inertial space; a light flexible beam is clamped to the rigid body at one end and is free at the other. The equations of motion are obtained by using free-body diagrams. It is shown that suitable boundary controls applied to the free end of the beam and a control torque applied to the rigid body stabilize the system. The proof is obtained by using the energy of the system as a Lyapunov functional.Keywords
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