BannerHauptseite TUMHauptseite LehrstuhlMathematik SchriftzugHauptseite LehrstuhlHauptseite Fakultät
Junge, O.; Marsden, J.E.; Ober-Blöbaum, S.:
Optimal Reconfiguration of Formation Flying Spacecraft - a Decentralized Approach,
Proceedings of the 45th IEEE Conference on Decision and Control, pp. 5210-5215, 2006.

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 gives 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.

pdf (320k)