基于改进粒子群算法的月地转移轨道优化  

MOON-TO-EARTH TRANSFER TRAJECTORY OPTIMIZATION BASE ON MODIFIED PARTICLE SWARM OPTIMIZATION

作　　者：李远平 蔡远利[1] 李济生[1] LI Yuan-ping;CAI Yuan-li;LI Ji-sheng(Faculty of Electronic and Information,Xi’an Jiaotong University,Xi’an 710049,China)

机构地区：[1]西安交通大学电子与信息学部,陕西西安710049

出　　处：《工程力学》2020年第3期238-244,共7页Engineering Mechanics

基　　金：宇航动力学国家重点实验室基金项目(8011001)。

摘　　要：月地转移轨道优化是月球返回任务的技术难题之一,其搜索空间大、约束条件多。该文通过罚函数法将多约束优化问题转化为无约束优化问题,提出了一种改进粒子群算法,利用适应度函数来更新惯性权重,对粒子的速度加以约束,还对粒子的位置参数引入随机反馈控制,分析了算法的收敛性。在月地返回窗口内获得了逃逸速度增量最小的月地转移轨道优化结果,并利用目标函数的等高线图分析,对优化结果进行了验证。Due to large search space and quite a few constraints,the optimization of moon-to-earth transfer trajectory is a challenging problem in lunar return mission.The optimization with multiple constraints is converted to an unconstrained optimization problem with the penalty function method,and a modified particle swarm optimization algorithm is proposed to obtain the optimal moon-to-earth transfer trajectory for the minimum escape velocity increment.A fitness function is used to update the inertia weight,and particle velocity is constrained.Additionally,a random feedback control is applied to the position parameter of particles in a modified algorithm.Furthermore,a convergence performance of the algorithm is analyzed.The optimized result in the lunar return window is verified through the contour map analysis of an objective function.

关 键 词：月球返回 月地转移轨道优化 改进粒子群算法 收敛性 等高线图分析 

分 类 号：O224[理学—运筹学与控制论] V412.4[理学—数学]