留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

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。

     

  • [1] 王华,唐国金.用遗传算法求解双冲量最优交会问题[J].中国空间科学技术,2003,23(1):26-30. WANG H,TANG G J.Solving optimal rendezvous using two impulses based on genetic algorithms[J].Chinese Space Science and Technology,2003,23(1):26-30(in Chinese).
    [2] 戴光明,李晖.DE算法在空间交会中的应用[J].上海航天,2007,24(3):46-49. DAI G M,LI H.Study on application of differential evolution algorithm in space rendezvous[J].Aerospace Shanghai,2007,24(3):46-49(in Chinese).
    [3] 梁静静,解永春.基于粒子群算法优化双脉冲绕飞问题[J].空间控制技术与应用,2013,39(5):43-47. LIANG J J,XIE Y C.Double-impulsive fly-around problem based on particle swarm optimization algorithm[J].Aerospace Control and Application,2013,39(5):43-47(in Chinese).
    [4] 姬晓琴,肖利红,陈文辉.基于T-H方程的多脉冲最优交会方法[J].北京航空航天大学学报,2014,40(7):905-909. JI X Q,XIAO L H,CHEN W H.Optimal multi-impulse rendezvous based on T-H equations[J].Journal of Beijing University of Aeronautics and Astronautics,2014,40(7):905-909(in Chinese).
    [5] 李晨光,肖业伦.多脉冲C-W交会的优化方法[J].宇航学报,2006,27(2):172-176. LI C G,XIAO Y L.Optimization methods of multi-pulse C-W rendezvous[J].Journal of Astronautics,2006,27(2):172-176(in Chinese).
    [6] LUO Y Z,TANG G J,LEI Y J.Optimal multi-objective linearized impulsive rendezvous[J].Journal of Guidance,Control,and Dynamics,2007,30(2):383-389.
    [7] GAO X,LIANG B,QIU Y.A PSO algorithm of multiple impulses guidance and control for GEO space robot[C]//Proceedings of the 13th ICARCV Conference.Piscataway,NJ:IEEE Press,2014:1560-1565.
    [8] XU L M,LIU H,ZHANG T.Optimal transfer orbit design based on multi-pulse thrust[C]//Proceedings of the 32nd Chinese Control Conference.Piscataway,NJ:IEEE Press,2013:5193-5197.
    [9] 付磊,安效民,覃曌华,等.基于混合遗传算法的多冲量最优变轨[J].航天控制,2013,31(3):15-19. FU L,AN X M,QIN Z H,et al.The optimal multiple-impulse orbit transfer by using hybrid genetic algorithm[J].Aerospace Control,2013,31(3):15-19(in Chinese).
    [10] MOORE R E,KEARFOTT R B,CLOUD M J.Introduction to interval analysis[M].2nd ed.Philadelphia:Society for Industrial & Applied Mathematics,2009:7-35.
    [11] JULIANA S,CHU Q P,MULDER J A.Reentry flight clearance using interval analysis[J].Journal of Guidance,Control,and Dynamics,2008,31(5):1295-1307.
    [12] DE WEERDT E,CHU Q P,MULDER J A.Global fuel optimization for constrained spacecraft formation rotations[C]//Proceedings of AIAA Guidance,Navigation,and Control Conference. Reston:AIAA,2009:1-21.
    [13] KAMPEN E V.Global optimization using interval analysis[D].Delft:Technische Universiteit Delft,2010:65-89.
    [14] 高东迎,岳晓奎.基于区间算法的航天器再入轨迹优化[J].科学技术与工程,2012,20(4):852-856. GAO D Y,YUE X K.Trajectory optimization for reentry vehicle via interval algorithm[J].Science Technology and Engineering,2012,20(4):852-856(in Chinese).
    [15] CHEN T,KAMPEN E V,YU H,et al.Optimization of time-open constrained Lambert rendezvous using interval analysis[J].Journal of Guidance,Control,and Dynamics,2013,36(1):175-184.
    [16] CASADO L G,GARCIA I,CSENDES T.A new multisection technique in interval methods for global optimization[J].Computing,2000,65(3):263-269.
    [17] NATARAY P S V,KOTECHA K.An algorithm for global optimization using the Taylor-Bernstein form as inclusion function[J].Journal of Global Optimization,2002,24(4):417-436.
    [18] 陈诚.基于区间数学的并行全局寻优算法的研究与系统实现[D].上海:上海大学,2014:25-36. CHEN C.Research and system implementation of parallel global optimal algorithm based on interval mathematics[D].Shanghai:Shanghai University,2014:25-36(in Chinese).
    [19] RATSCHEK H,ROKNE J.New computer methods for global optimization[M].Chichester:Ellis Horwood Ltd.,1988:85-89.
    [20] KAMPEN E V,CHU Q P,MULDER J A,et al.Nonlinear aircraft trim using interval analysis[C]//Proceedings of AIAA Guidance,Navigation,and Control Conference and Exhibit.Reston:AIAA,2007,4:4073-4087.
  • 加载中
计量
  • 文章访问数:  953
  • HTML全文浏览量:  171
  • PDF下载量:  575
  • 被引次数: 0
出版历程
  • 收稿日期:  2015-05-20
  • 网络出版日期:  2016-05-20

目录

    /

    返回文章
    返回
    常见问答