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为研究月球探测器从月球泊轨道向月面软着陆的最优控制问题 ,提出了一种两次制动变轨的软着陆方案 :探月器从月球停泊轨道出发 ,启动变轨发动机进行第一次制动后飞向月球 ,在月面附近第二次制动以实现软着陆。在两次制动变轨时 ,对固定推力发动机的情况 ,采用 Pontryagin极大值原理对燃料最省变轨控制问题进行了分析 ,并引入遗传算法数值求解两点边值问题 ,得到了制动变轨的初始、终端位置和发动机推力方向角的最优控制规律
In order to study the optimal control of lunar probe from moon lunar orbit to lunar soft landing, a soft landing scheme with two brake orbit changes is proposed. The lunar probe launches the orbiting engine from the lunar orbit, After a braking flew to the moon, a second brake near the lunar surface to achieve a soft landing. In the case of two-stage braking orbit change, the Pontryagin maximum principle is used to analyze the most fuel-efficient orbit-changing control problem in a fixed-thrust engine. The genetic algorithm is used to solve the two-point boundary value problem and the braking The optimal control law of the initial or final position and the thrust angle of the engine is given