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空间小推力轨道最优Bang-Bang控制的两类延拓解法综述

朱政帆,高扬

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文章导航> 深空探测学报(中英文）> 2017> 4(2): 101-110
朱政帆, 高扬. 空间小推力轨道最优Bang-Bang控制的两类延拓解法综述[J]. 深空探测学报(中英文）, 2017, 4(2): 101-110. doi: 10.15982/j.issn.2095-7777.2017.02.001
引用本文: 朱政帆, 高扬. 空间小推力轨道最优Bang-Bang控制的两类延拓解法综述[J]. 深空探测学报(中英文）, 2017, 4(2): 101-110.doi:10.15982/j.issn.2095-7777.2017.02.001
shu
ZHU Zhengfan, GAO Yang. Survey of Two Classes of Continuation Methods for Solving Optimal Bang-Bang Control of Low-Thrust Space Trajectories[J]. Journal of Deep Space Exploration, 2017, 4(2): 101-110. doi: 10.15982/j.issn.2095-7777.2017.02.001
Citation: ZHU Zhengfan, GAO Yang. Survey of Two Classes of Continuation Methods for Solving Optimal Bang-Bang Control of Low-Thrust Space Trajectories[J].Journal of Deep Space Exploration, 2017, 4(2): 101-110.doi:10.15982/j.issn.2095-7777.2017.02.001
shu

空间小推力轨道最优Bang-Bang控制的两类延拓解法综述

doi:10.15982/j.issn.2095-7777.2017.02.001
  • 1.

    中国科学院 光电研究院, 北京 100094

  • 2.

    中国科学院 空间应用工程与技术中心, 北京 100094

基金项目:国家自然科学基金项目（11372311）；中国科学院空间科学研究院培育项目；中国科学院国防科技创新基金项目（CXJJ-15M016）

Survey of Two Classes of Continuation Methods for Solving Optimal Bang-Bang Control of Low-Thrust Space Trajectories

  • 1.

    Academy of Opto-electronics, Chinese Academy of Sciences, Beijing 100094, China

  • 2.

    Technology and Engineering Center for Space Utilization, Chinese Academy of Sciences, Beijing 100094, China

  • 摘要:介绍了空间小推力轨道优化问题中的最优Bang-Bang控制问题，对两类延拓解法给出了描述：第一类解法首先求解能量最优解，然后采用能量-燃耗同伦得到最优Bang-Bang控制；第二类解法引入推力开关切换准则，以双脉冲解作为初解，通过参数延拓得到最优Bang-Bang控制。对两类延拓解法进行了比较，指出了各自的优势与特点。对延拓方法应用于求解更加复杂的小推力轨道设计问题进行了展望，提出了包含初解、延拓与拼接三要素的人工智能轨道优化概念。
    Abstract:The optimal Bang-Bang control problem of low-thrust space trajectories is introduced. Two classes of continuation methods are described:the first solves the energy-optimal solution,and subsequently employs the energy-fuel homotopy to obtain the optimal Bang-Bang control;the second introduces a switching principle,and obtains the optimal Bang-Bang control through parameter continuation starting from a two-impulse solution. The two continuation methods are compared,and the advantages and characteristics of the two methods are discussed. The prospects of the continuation methods applying to more complicated low-thrust trajectory designs are proposed. The concept of artificial intelligence trajectory optimization is presented,which contains three aspects:initial solution,continuation,and patching.
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  • 收稿日期:2017-01-10
  • 修回日期:2017-03-29
  • 刊出日期:2017-04-01

空间小推力轨道最优Bang-Bang控制的两类延拓解法综述

doi:10.15982/j.issn.2095-7777.2017.02.001
  • 1. 中国科学院 光电研究院, 北京 100094
  • 2. 中国科学院 空间应用工程与技术中心, 北京 100094
    • 基金项目:国家自然科学基金项目（11372311）；中国科学院空间科学研究院培育项目；中国科学院国防科技创新基金项目（CXJJ-15M016）
  • 收稿日期:2017-01-10
  • 修回日期:2017-03-29
  • 刊出日期:2017-04-01

摘要:介绍了空间小推力轨道优化问题中的最优Bang-Bang控制问题，对两类延拓解法给出了描述：第一类解法首先求解能量最优解，然后采用能量-燃耗同伦得到最优Bang-Bang控制；第二类解法引入推力开关切换准则，以双脉冲解作为初解，通过参数延拓得到最优Bang-Bang控制。对两类延拓解法进行了比较，指出了各自的优势与特点。对延拓方法应用于求解更加复杂的小推力轨道设计问题进行了展望，提出了包含初解、延拓与拼接三要素的人工智能轨道优化概念。

English Abstract

朱政帆, 高扬. 空间小推力轨道最优Bang-Bang控制的两类延拓解法综述[J]. 深空探测学报(中英文）, 2017, 4(2): 101-110. doi: 10.15982/j.issn.2095-7777.2017.02.001
引用本文: 朱政帆, 高扬. 空间小推力轨道最优Bang-Bang控制的两类延拓解法综述[J]. 深空探测学报(中英文）, 2017, 4(2): 101-110.doi:10.15982/j.issn.2095-7777.2017.02.001
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ZHU Zhengfan, GAO Yang. Survey of Two Classes of Continuation Methods for Solving Optimal Bang-Bang Control of Low-Thrust Space Trajectories[J]. Journal of Deep Space Exploration, 2017, 4(2): 101-110. doi: 10.15982/j.issn.2095-7777.2017.02.001
Citation: ZHU Zhengfan, GAO Yang. Survey of Two Classes of Continuation Methods for Solving Optimal Bang-Bang Control of Low-Thrust Space Trajectories[J].Journal of Deep Space Exploration, 2017, 4(2): 101-110.doi:10.15982/j.issn.2095-7777.2017.02.001
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