# Optimal control of a rotating body beam

ESAIM: Control, Optimisation and Calculus of Variations (2002)

- 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 (2002): 157-178. <http://eudml.org/doc/245254>.

@article{Liu2002,

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},

language = {eng},

pages = {157-178},

publisher = {EDP-Sciences},

title = {Optimal control of a rotating body beam},

url = {http://eudml.org/doc/245254},

volume = {7},

year = {2002},

}

TY - JOUR

AU - Liu, Weijiu

TI - Optimal control of a rotating body beam

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2002

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

UR - http://eudml.org/doc/245254

ER -

## References

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