中国空间科学技术

中国空间科学技术

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有限推力轨迹优化问题的直接打靶法研究

王华,唐国金,雷勇军   

  1. 国防科技大学航天与材料工程学院,国防科技大学航天与材料工程学院,国防科技大学航天与材料工程学院 长沙410073 ,长沙410073 ,长沙410073
  • 发布日期:2003-10-25

The Direct Shooting Method Solving Finite-Thrust Trajectory Optimization

Wang Hua Tang Guojin Lei Yongjun (College of Aerospace and Material Engineering, National University of Defense Technology, Changsha 410073)   

  • Online:2003-10-25

被引次数

39

摘要： 研究了求解有限推力轨迹优化问题的直接打靶方法。说明了利用直接打靶法将最优轨迹问题转化为参数优化问题的基本转换方法 ;给出了状态和控制变量的等式 (或不等式 )约束的转化方法 ;从插值和数值积分两个方面对转换过程中产生的误差进行了深入分析。最后 ,以最优交会问题为例 ,说明了不同节点数目和积分步数对计算结果的影响

关键词: 轨迹, 最佳控制, 直接打靶法, 航天器

Abstract: The direct shooting method solving finite thrust trajectory optimization is studied. The basic method of converting optimal trajectory problems into parameter optimization problems using direct shooting method is introduced, and the transformation method of state and control equality (or inequality) constraints are proposed. The error during transformation process due to interpolation and numerical integration is analyzed particularly. At last, an optimal rendezvous is used to demonstrate the effect of different node numbers and integration steps to final result.