CAJ | 학술논문

有限推力航天器的协同交会问题是一个高维非线性的最优控制问题,传统求解方法难以收敛到最优解或者时间花费巨大.采用混合法和多打靶法构造了有限推力航天器双主动交会的数学模型,讨论了其实现最优控制的必要条件,求解了反平方力场中的最优控制数值解.推进刺总消耗最少和有限推进剂约束下的最短时间交会2种不同的算例表明,这种方法可极大地提高收敛性,快速有效地求解有限推力航天器的协同交会问题.
유한추력항천기적협동교회문제시일개고유비선성적최우공제문제,전통구해방법난이수렴도최우해혹자시간화비거대.채용혼합법화다타파법구조료유한추력항천기쌍주동교회적수학모형,토론료기실현최우공제적필요조건,구해료반평방력장중적최우공제수치해.추진자총소모최소화유한추진제약속하적최단시간교회2충불동적산례표명,저충방법가겁대지제고수렴성,쾌속유효지구해유한추력항천기적협동교회문제.
The cooperative finit-thrust rendezvous is a high dimension and nonlinear optimum control problem. The classical al-gorithms are subject to poor convergence or time consuming. In this paper, based on the discussion of the necessary condition of the optimum control for cooperative finite-thrust rendezvous, hybrid optimization method with muhiple-shooting algorithm is used to ob-tain solutions in an inverse square gravitational field. The calculation of minimum-fuel rendezvous and fuel constrained minimum-time rendezvous problem for finite-thrust spacecrafts demonstrates that this method can be used to solve the solution effectively.