
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.
optimal reconfiguration, parallelizable method, formation flying spacecraft, hierarchical optimization, 004, 510, decentralized method , degrees of freedom , discrete mechanics , formation flying spacecraft , hierarchical optimization , optimal control , optimal reconfiguration , optimization problem , parallelizable method, optimal control, degrees of freedom, discrete mechanics, decentralized method, optimization problem
optimal reconfiguration, parallelizable method, formation flying spacecraft, hierarchical optimization, 004, 510, decentralized method , degrees of freedom , discrete mechanics , formation flying spacecraft , hierarchical optimization , optimal control , optimal reconfiguration , optimization problem , parallelizable method, optimal control, degrees of freedom, discrete mechanics, decentralized method, optimization problem
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