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Published 2006 | Published
Book Section - Chapter Open

Optimal Reconfiguration of Formation Flying Spacecraft--a Decentralized Approach

Abstract

This paper introduces a hierarchical, decentralized, and parallelizable method for dealing with optimization problems with many agents. It is theoretically based on a hierarchical optimization theorem that establishes the equivalence of two forms of the problem, and this idea is implemented using DMOC (Discrete Mechanics and Optimal Control). The result is a method that is scalable to certain optimization problems for large numbers of agents, whereas the usual "monolithic" approach can only deal with systems with a rather small number of degrees of freedom. The method is illustrated with the example of deployment of spacecraft, motivated by the Darwin (ESA) and Terrestrial Planet Finder (NASA) missions.

Additional Information

© 2006 IEEE. Partially supported by the DFG research project CRC 376 "Massively Parallel Computation". We thank Olaf Bonorden and Joachim Gehweiler for the support in using the software package PUB as well as Mirko Hessel-von Molo and Stefan Sertl for helpful discussions.

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August 19, 2023
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