AAS 03-575 Solving optimal control problems with generating functions
نویسندگان
چکیده
The optimal control of a spacecraft as it transitions between specified states in a fixed amount of time is studied. We approach the solution to our optimal control problem with a novel technique, treating the resulting system for the state and adjoints as a Hamiltonian system. We show that the optimal control for this system can be found once the F1 generating function for the Hamiltonian system is found. A solution procedure for this generating function is posed and applied to the non-linear control of a spacecraft in the vicinity of a circular orbit.
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تاریخ انتشار 2003