基于高斯—伪谱法的月球定点着陆轨道快速优化设计  

Rapid Lunar Exact-Landing Trajectory Optimization Via Gauss Pseudospectral Method

作　　者：彭祺擘[1] 李海阳[1] 沈红新[1] 

机构地区：[1]国防科技大学航天与材料工程学院,长沙410073

出　　处：《宇航学报》2010年第4期1012-1016,共5页Journal of Astronautics

摘　　要：利用高斯伪谱法(Gauss Pseudospectral Method,GPM),对登月飞行器定点软着陆轨道快速优化问题做出了研究。将控制变量和终端时间一同作为优化变量,同时离散控制变量与状态变量,对最优控制问题进行求解。并针对GPM的特点,设计了从求取初值到高精度参数的软着陆轨道优化策略。利用此方法求取了月面着陆可达区域,在此基础上对定着陆点最优轨道进行了设计。仿真结果表明此方法具有较强的鲁棒性和快速收敛性。The problem for rapid lunar exact-landing trajectory optimization is studied using Gauss Pseudospectral Method（GPM） in this paper.In process of solving the optimal control problem,control variables and state variables are dispersed,and control variables and flying time are used as optimal variables.Aiming at the characters of GPM,a solving strategy from initial value to high accurate parameters is designed.By using this method,the attainable region for lunar landing is obtained,and an optimal trajectory for exact-landing is designed.Simulation results show the methodology and strategy for the optimal trajectory designing have good robustness and strong convergence.

关 键 词：高斯伪谱法 月球定点着陆 快速优化 登月飞行器 

分 类 号：V412.41[航空宇航科学与技术—航空宇航推进理论与工程]