Optimal multi-objective linearized impulsive rendezvous
Optimal multi-objective linearized impulsive rendezvous
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DOI：
10.2514/1.21433
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发表时间：
2007-03-01
影响因子：
2.6
通讯作者：
Lei, Yong-Jun
中科院分区：
文献类型：
--
作者：
Luo, Ya-Zhong;Tang, Guo-Jin;Lei, Yong-Jun
本文研究了线性脉冲交会的多目标优化问题，该优化包括最小特征速度、最小飞行时间和最大安全性能指标，其中弹道安全性能指标定义为追逐者与目标在自由状态下的最小相对距离，飞行路径。提供了计算该安全性能指标的理论模型。在Clohessy-Wiltshire系统的基础上，提出了三目标优化模型。其中应用线性方程的广义逆矩阵解以避免处理终端等式约束。采用多目标非支配排序遗传算法求解Pareto解集。所提出的方法进行评估使用-V-bar归航和+V-bar归航交会任务。结果表明，飞行时间之间的权衡，燃料成本，和被动的轨道安全交会轨迹是快速证明的方法。通过确定多种解决方案，该方法可以产生各种任务，以满足不同的需求。
The multi-objective optimization of linearized impulsive rendezvous is investigated in this paper and this optimization includes the minimum characteristic velocity, the minimum time of flight, and the maximum safety performance index, of which the trajectory safety performance index is defined as the minimum relative distance between a chaser and a target in the chaser's free-flying path. A theoretical model for calculating this safety performance index is provided. The three-objective optimization model is proposed based on the Clohessy-Wiltshire system. wherein a generalized inverse matrix solution for linear equations is applied to avoid handling the terminal equality constraints. The multi-objective nondominated sorting genetic algorithm is employed to obtain the Pareto solution set. The proposed approach is evaluated using the -V-bar homing and +V-bar homing rendezvous missions. It is shown that tradeoffs between time of flight, fuel cost, and passive trajectory safety for rendezvous trajectory is quickly demonstrated by the approach. By identifying multiple solutions, the approach can produce a variety of missions to meet different needs.