Optimal Control of a Rotating Body Beam
Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, B3H 3J5, Canada; email@example.com.
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