%0 Journal Article %T 空间小推力轨道最优Bang-Bang控制的两类延拓解法综述 %T Survey of Two Classes of Continuation Methods for Solving Optimal Bang-Bang Control of Low-Thrust Space Trajectories %A 朱政帆 %A 高扬 %A ZHU,Zhengfan %A GAO,Yang %J 深空探测学报(中英文) %J Journal of Deep Space Exploration %@ 2095-7777 %V 4 %N 2 %D 2017 %P 101-110 %K 小推力轨道;数值优化;Bang-Bang控制;同伦延拓;人工智能 %K low thrust;numerical optimization;Bang-Bang control;homotopy continuation;artificial intelligence %X 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。 %X 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. %R 10.15982/j.issn.2095-7777.2017.02.001 %U http://jdse.bit.edu.cn/sktcxbcn/ch/reader/view_abstract.aspx %1 JIS Version 3.0.0