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This paper studies rendezvous control of spacecrafts via constrained optimal control using generating functions. The minimum energy control of spacecraft transiting between specified states with consideration of constraints is formalized into the constrained optimal control problem. The generating function approach is extended to such problems by equipping with penalties. Finally, the developed technique is summarized as algorithms to successfully realize optimal rendezvous control with velocity and thrust bounds.

Rendezvous Control of Spacecraft via Constrained Optimal Control Using Generating Functions