DocumentCode
2568444
Title
Optimal control on non-compact lie groups: A projection operator approach
Author
Saccon, Alessandro ; Hauser, John ; Aguiar, A. Pedro
Author_Institution
Inst. Super. Tecnico (IST), Inst. for Syst. & Robot. (ISR), Lisbon, Portugal
fYear
2010
fDate
15-17 Dec. 2010
Firstpage
7111
Lastpage
7116
Abstract
Many nonlinear systems of practical interest evolve on Lie groups or on manifolds acted upon by Lie groups. Examples range from aircraft and underwater vehicles to quantum mechanical systems. In this paper, we develop the mathematical machinery needed for projection operator based trajectory exploration and optimization (optimal control) for systems defined on non-compact Lie groups.
Keywords
Lie groups; nonlinear systems; optimal control; optimisation; position control; manifolds; mathematical machinery; noncompact lie groups; nonlinear systems; optimal control; optimization; projection operator approach; trajectory exploration; Algebra; Approximation methods; Digital TV; Manifolds; Nonlinear systems; Optimization; Trajectory;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location
Atlanta, GA
ISSN
0743-1546
Print_ISBN
978-1-4244-7745-6
Type
conf
DOI
10.1109/CDC.2010.5717195
Filename
5717195
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