Design of Optimal Orbit and Constant Force for Soft-Landing of Lunar Lander

This paper deals with the soft landing of lunar lander. A parametric piecewise constant controller is developed, which arbitrarily approaches the optimal continuous controller and has the parameters whose number is equal to the rank of the system. This controller transforms the optimal control to the parameter optimization which is easily solved by the standard mathematic programming. The soft landing problem is treated by using this controller. Optimal parameters are derived by the genetic algorithm. At last, the simulation results illustrate the feasibility and advantage of our approach.