| 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。 |
| 关键词: 小推力轨道 数值优化 Bang-Bang控制 同伦延拓 人工智能 |
| DOI：10.15982/j.issn.2095-7777.2017.02.001 |
| 分类号: |
| 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） |
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| Survey of Two Classes of Continuation Methods for Solving Optimal Bang-Bang Control of Low-Thrust Space Trajectories |
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ZHU Zhengfan1, GAO Yang2
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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
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| 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. |
| Key words: low thrust numerical optimization Bang-Bang control homotopy continuation artificial intelligence |
