Abstract: A new method is presented for solving the on\|line receding horizon control problem in real time, and it has been successfully applied into the transfer mission between the Halo orbits near collinear Libration points in the Sun\|Earth system. First, by employing the efficient symplectic adaptive algorithm for nonlinear optimal control, the optimal transfer trajectory and control input are programmed off\|line. Then, a new on\|line real time numerical algorithm is proposed for solving the receding horizon control. Based on the optimal transfer trajectory and control, the transfer mission of the spacecraft with initial injection error is accomplished by using the receding horizon control method. Finally, the receding horizon controller is implemented for the transfer mission between Halo orbits. Finally numerical simulation results for nonlinear dynamics system show that the numerical method proposed for receding horizon control is effective, and it can solve the transfer mission between Halo orbits in real time. Beside, the initial injection error can be removed quickly.

Key words: Libration point, Halo orbit, Orbit transfer, Trajectory optimization, Receding-horizon control