arXiv:math/0602588 [math.OC]AbstractReferencesReviewsResources
Optimal Control of a Rigid Body using Geometrically Exact Computations on SE(3)
Taeyoung Lee, N. Harris McClamroch, Melvin Leok
Published 2006-02-26, updated 2006-09-15Version 2
Optimal control problems are formulated and efficient computational procedures are proposed for combined orbital and rotational maneuvers of a rigid body in three dimensions. The rigid body is assumed to act under the influence of forces and moments that arise from a potential and from control forces and moments. The key features of this paper are its use of computational procedures that are guaranteed to preserve the geometry of the optimal solutions. The theoretical basis for the computational procedures is summarized, and examples of optimal spacecraft maneuvers are presented.
Comments: IEEE Conference on Decision and Control, 2006. 6 pages, 19 figures
Categories: math.OC
Keywords: rigid body, geometrically exact computations, efficient computational procedures, optimal control problems, optimal spacecraft maneuvers
Tags: conference paper
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