Optimal Control Law Research of Low-Thrust Transfer Based on General Averaging Method

An optimal control framework based on general averaging method is developed for the low-thrust orbital transfers including minimum-time and fuel-saving problems. The spacecraft orbit is discussed under central celestial body gravitation, propelling force and all kinds of perturbations during long distant flight. The resulting general average technique is applied in the complicated environment for optimizing the spacecraft’s trajectory. The averaged dynamic system helps to reduce the optimal problem computation and improve the performance of the control law considering the natural force effect. A successful maneuver strategy is developed with bang-bang control configuration, which results in the change of orbital inclination from LEO to GEO task effectively.

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