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基于梯度分割区间优化算法的双脉冲交会优化

刘琦 朱宏玉

刘琦, 朱宏玉. 基于梯度分割区间优化算法的双脉冲交会优化[J]. 北京航空航天大学学报, 2016, 42(5): 1071-1078. doi: 10.13700/j.bh.1001-5965.2015.0324
引用本文: 刘琦, 朱宏玉. 基于梯度分割区间优化算法的双脉冲交会优化[J]. 北京航空航天大学学报, 2016, 42(5): 1071-1078. doi: 10.13700/j.bh.1001-5965.2015.0324
LIU Qi, ZHU Hongyu. Optimization of double-impulse rendezvous using gradient-splitting interval optimization algorithm[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(5): 1071-1078. doi: 10.13700/j.bh.1001-5965.2015.0324(in Chinese)
Citation: LIU Qi, ZHU Hongyu. Optimization of double-impulse rendezvous using gradient-splitting interval optimization algorithm[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(5): 1071-1078. doi: 10.13700/j.bh.1001-5965.2015.0324(in Chinese)

基于梯度分割区间优化算法的双脉冲交会优化

doi: 10.13700/j.bh.1001-5965.2015.0324
基金项目: 国家自然科学基金(11272028)
详细信息
    作者简介:

    刘琦 男,硕士研究生。主要研究方向:航天器动力学与控制。E-mail:liuqi-2@163.com;朱宏玉 男,博士,讲师,硕士生导师。主要研究方向:航天器动力学与控制。Tel.:010-82339753 E-mail:09190@buaa.edu.cn

    通讯作者:

    朱宏玉,Tel.:010-82339753 E-mail:09190@buaa.edu.cn

  • 中图分类号: V448.234

Optimization of double-impulse rendezvous using gradient-splitting interval optimization algorithm

  • 摘要: 研究非固定时间的航天器双脉冲交会轨迹优化问题,设计了基于梯度分割区间优化算法(GIOA)。该算法结合所研究问题的特点,使用每次只选择有限个区间进行操作的区间选择策略、基于梯度优化结果的区间分割策略、基于单调性的区间紧缩策略以及约束条件测试和基于梯度的目标优化估计值更新策略等。梯度优化算法仅用于区间分割和目标优化估计值更新,不但没有影响GIOA对区间优化算法全局性和收敛性的继承,同时加快了包含优化解的小宽度区间的出现,提高了目标优化估计值的更新速度,并由此提高了运算效率。区间选择策略的使用,控制了决策变量区间数量的增长,降低了算法运行的存储需求。算例仿真中,成功求解非固定时间双脉冲交会问题,并展示出算法的优势。

     

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出版历程
  • 收稿日期:  2015-05-20
  • 网络出版日期:  2016-05-20

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