Evolutionary principles applied to mission planning problems |
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| Authors: | Bruce A Conway Christian M Chilan Bradley J Wall |
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| Institution: | (1) Department of Aerospace Engineering, University of Illinois at Urbana, 306 Talbot Laboratory, Urbana, IL 61801, USA |
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| Abstract: | The space mission planning process is considered as a hybrid optimal control problem. Hybrid optimal control problems are
problems that include categorical variables in the problem formulation. For example, an interplanetary trajectory may consist
of a sequence of low thrust arcs, impulses and planetary flybys. However, for each choice of the structure of the mission,
for example, for a particular choice of the number of planetary flybys to be used, there is a corresponding optimal trajectory.
It is not a priori clear which structure will yield the most efficient mission. In this work we present a mathematical framework
for describing such problems and solution methods for the hybrid optimal control problem based on evolutionary principles
that have the potential for being a robust solver of such problems. As an example, the methods are used to find the optimal
choice of three asteroids to visit in sequence, out of a set of eight candidate asteroids, in order to minimize the fuel required. |
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| Keywords: | Mission planning Trajectory optimization Evolutionary methods Genetic algorithms |
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