基于混合法和多打靶法的有限推力航天器协同交会优化(英文)  

Optimal cooperative finite-thrust rendezvous based on hybrid optimization and multiple shooting method

作　　者：潘伟[1] 路长厚[1] 冯维明[2] 陈菲[1] 

机构地区：[1]山东大学机械学院,济南250061 [2]山东大学土建学院,济南250061

出　　处：《固体火箭技术》2010年第6期603-610,共8页Journal of Solid Rocket Technology

基　　金：The National "863" Program (2007AA704305);Innovation Fund of Shandong University (2009TS132)

摘　　要：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。推进剂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。The cooperative finit-thrust rendezvous is a high dimension and nonlinear optimum control problem.The classical algorithms 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 multiple-shooting algorithm is used to obtain solutions in an inverse square gravitational field.The calculation of minimum-fuel rendezvous and fuel constrained minimumtime rendezvous problem for finite-thrust spacecrafts demonstrates that this method can be used to solve the solution effectively.

关 键 词：双主动交会 有限推力 混合法 多打靶法 

分 类 号：V525[航空宇航科学与技术—人机与环境工程]