| Issue |
ESAIM: COCV
Volume 7, 2002
|
|
|---|---|---|
| Page(s) | 157 - 178 | |
| DOI | https://doi.org/10.1051/cocv:2002007 | |
| Published online | 15 September 2002 | |
Optimal Control of a Rotating Body Beam
Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, B3H 3J5, Canada; weiliu@mscs.dal.ca.
Received:
2
August
2000
Revised:
26
February
2001
Revised:
20
July
2001
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.
Mathematics Subject Classification: 49K20 / 35L75 / 74K10.
Key words: Rotating body beam / optimal control / numerical approximation scheme.
© EDP Sciences, SMAI, 2002
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