基于二次优化的空间碎片多目标交会方案

Scheme design for space debris multiple rendezvous based on quadratic optimization

针对空间碎片多目标交会轨迹设计问题的复杂性,提出一种利用分支定界法进行总体设计和改进粒子群算法进行二次优化的轨迹优化方法。通过碎片状态矩阵的建立和时间网格的划分,将多目标的交会问题转化为整数规划问题,利用分支定界法对总体交会顺序进行第一次优化。在此基础上,以交会时间和等待时间为优化参数,利用改进梯度粒子群算法对具体的单目标交会轨道问题进行第二次优化。仿真结果表明,飞行器与碎片的相对位置和相对速度误差满足精度要求,验证了多目标交会方案的有效性。

Aiming at the multi-target intersection trajectory design issues of space debris,a new method of trajectory optimization is proposed. The branch and bound method is used for the overall design and improved particle swarm optimization is used for quadratic optimization. Through the establishment of the fragment state matrix and the division of the time grid,the multi-objective intersection problem is transformed into the integer programming problem. Based on the optimization of the overall intersection order,the time of intersection and waiting time are used as the optimization parameters,and the improved gradient particle swarm optimization is used to optimize the specific single target intersection orbit problem.The simulation results show that the relative position and relative velocity error between aircraft and debris meet the accuracy requirements,and verify the effectiveness of the multi-objective intersection scheme.