Boundary control of a Timoshenko beam attached to a rigid body: planar motion
Date
1991
Authors
Morgül, Ö.
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Advisor
Supervisor
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Instructor
Source Title
International Journal of Control
Print ISSN
0020-7179
Electronic ISSN
Publisher
Taylor & Francis
Volume
54
Issue
4
Pages
763 - 791
Language
English
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Journal Title
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Abstract
A flexible spacecraft modelled as a rigid body which rotates in an inertial space is considered; a light flexible beam is clamped to the rigid body at one end and free at the other end. The equations of motion are obtained by using the geometrically exact beam model for the flexible beam, and it is then shown that under planar motion assumption, linearizationof this model yieldsthe Timoshenko beam model. 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 a Lyapunov functional based on the energy of the system. © 1991 Taylor and Francis Ltd.