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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 ofoptimal control of the model for a rotating body beam, whichdescribes 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 suppressthe vibrations of the beam.We prove that there exists at least one optimal control and derive anecessary condition for the control. Furthermore, on the basis ofiteration method, we proposenumerical approximation scheme to calculate theoptimal control and give numeric examples.

Keywords

Rotating body beamoptimal controlnumerical approximation scheme.

Information

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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