空间小推力轨道最优Bang-Bang控制的两类延拓解法综述 |
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作者姓名: | 朱政帆 高扬 |
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作者单位: | 中国科学院 光电研究院, 北京 100094,中国科学院 空间应用工程与技术中心, 北京 100094 |
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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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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。
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关 键 词: | 小推力轨道 数值优化 Bang-Bang控制 同伦延拓 人工智能 |
收稿时间: | 2017/1/10 0:00:00 |
修稿时间: | 2017/3/29 0:00:00 |
Survey of Two Classes of Continuation Methods for Solving Optimal Bang-Bang Control of Low-Thrust Space Trajectories |
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Authors: | ZHU Zhengfan and GAO Yang |
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Institution: | Academy of Opto-electronics, Chinese Academy of Sciences, Beijing 100094, China and 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. |
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Keywords: | low thrust numerical optimization Bang-Bang control homotopy continuation artificial intelligence |
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