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Optimal Control of a Rotating Body Beam

Published online by Cambridge University Press:  15 September 2002

Weijiu Liu
Weijiu Liu*
Affiliation:
Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, B3H 3J5, Canada; weiliu@mscs.dal.ca.
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Abstract

In this paper we consider the problem of optimal control of the model for a rotating body beam, which describes the dynamics of motion of a beam attached perpendicularly to the center of a rigid cylinder and rotating with the cylinder. The control is applied on the cylinder via a torque to suppress the vibrations of the beam. We prove that there exists at least one optimal control and derive a necessary condition for the control. Furthermore, on the basis of iteration method, we propose numerical approximation scheme to calculate the optimal control and give numeric examples.

Keywords

Rotating body beamoptimal controlnumerical approximation scheme.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 7 , 2002 , pp. 157 - 178
Copyright
© EDP Sciences, SMAI, 2002

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