# Optimal Control of a Rotating Body Beam

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 7, page 157-178
- ISSN: 1292-8119

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topLiu, Weijiu. "Optimal Control of a Rotating Body Beam." ESAIM: Control, Optimisation and Calculus of Variations 7 (2010): 157-178. <http://eudml.org/doc/90617>.

@article{Liu2010,

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.
},

author = {Liu, Weijiu},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Rotating body beam; optimal control;
numerical approximation scheme.
; rotating body beam; numerical approximation scheme},

language = {eng},

month = {3},

pages = {157-178},

publisher = {EDP Sciences},

title = {Optimal Control of a Rotating Body Beam},

url = {http://eudml.org/doc/90617},

volume = {7},

year = {2010},

}

TY - JOUR

AU - Liu, Weijiu

TI - Optimal Control of a Rotating Body Beam

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 7

SP - 157

EP - 178

AB -
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.

LA - eng

KW - Rotating body beam; optimal control;
numerical approximation scheme.
; rotating body beam; numerical approximation scheme

UR - http://eudml.org/doc/90617

ER -

## References

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- J.L. Lions, Optimal Control of Systems Governed by Partial Differential Equations. Springer-Verlag, Berlin (1971).
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