We solve a minimum-energy, point-to-point optimal maneuver problem for satellite proximity flight in a perturbed orbit. We perform this control optimization on the nonlinear system using the Maximum Principle, and on a particular linear approximation using the minimum energy transfer theorem. In both cases we assume unperturbed dynamics. We then use a sliding mode controller to track the optimal trajectories in the presence of bounded, finite disturbances that correspond to perturbations on the order of J or less. We find that the sliding mode tracking controller is able to track the optimal desired trajectory in the presence of orbital disturbances and with initial condition error using reasonable input commands.
展开▼
