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In this paper, the optimal fuel impulsive time-fixed rendezvous problem is considered. Under some simplifying assumptions, this problem may be recast as a non convex polynomial optimization problem. A numerical solving algorithm using a convex relaxation based on sum-of-squares representation of positive polynomials is proposed. Numerical results are evaluated on the PRISMA technology in-orbit formation flying testbed mission.
Decision and Control (CDC), 2010 49th IEEE Conference on
Date of Conference: 15-17 Dec. 2010