宇航学报 ›› 2021, Vol. 42 ›› Issue (2): 211-219.doi: 10.3873/j.issn.1000-1328.2021.02.009

• 制导、导航、控制与电子 • 上一篇    下一篇

探月返回飞行器跳跃式再入轨迹优化

赵吉松,王江华,王泊乔,张金明,朱航标   

  1. 1. 南京航空航天大学航天学院,南京 2100162. 北京机电工程研究所,北京 100074
  • 收稿日期:2019-12-23 修回日期:2020-05-27 出版日期:2021-02-15 发布日期:2021-02-15
  • 基金资助:
    国家自然科学基金(11602107);南京航空航天大学实验技术研究与开发项目(2019051500055180

Skip Entry Trajectory Optimization of Lunar Return Vehicles

ZHAO Ji song, WANG Jiang hua, WANG Bo qiao, ZHANG Jin ming, ZHU Hang biao   

  1. 1. College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;2. Beijing Electro Mechanical Engineering Institute, Beijing 100074, China
  • Received:2019-12-23 Revised:2020-05-27 Online:2021-02-15 Published:2021-02-15

摘要: 基于节点自适应稀疏配点法,提出一种高精度求解探月返回飞行器跳跃式再入轨迹优化问题的方法。该方法的基本策略是:首先,应用节点自适应稀疏配点法对完整的跳跃式再入轨迹进行优化;然后,根据优化得到的控制变量对再入动力学方程进行数值积分;当积分至跳跃轨迹的最高点时,以积分得到的状态变量值作为新的初始条件,对二次再入轨迹重新优化。仿真结果表明:1)对二次再入轨迹重新优化能够显著提高跳跃式再入轨迹的优化精度,否则轨迹优化精度低,终端误差较大;2)在跳跃轨迹的最高点进行的二次优化是一种准实时优化,在跳跃式再入轨迹的制导领域具有潜在应用价值。

关键词: 跳跃式再入, 轨迹优化, 二次优化, 配点法

Abstract: A high precision approach for the skip entry trajectory optimization of lunar return vehicles based on an adaptive sparse collocation method is presented. Firstly, the whole skip entry trajectory is optimized by using an adaptive sparse collocation method; then, the numerical integration of the state dynamic equations is carried out according to the obtained optimal control; when the integration reaches the highest point of the skip trajectory, the re-optimization of the secondary entry trajectory is carried out with the state values that are obtained by the integration as new initial conditions. The numerical simulation results show that: 1) the optimization accuracy is significantly improved when the secondary optimization is used and otherwise the accuracy is poor and the terminal errors are large; 2) the secondary optimization that is performed at the highest point of the skip trajectory is a quasi real time optimization which has potential applications in the field of skip reentry trajectory guidance.

Key words: Skip entry, Trajectory optimization, Secondary optimization, Collocation method

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