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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