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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 synergetic rendezvous problem of a finite-thrust spacecraft is a high-dimensional non-linear optimal control problem, which is difficult to converge to the optimal solution or takes a huge amount of time. The mathematic model of the dual-active rendezvous of a finite thrust spacecraft is constructed by the hybrid method and the multi-target shooting method. The necessary conditions for the realization of optimal control are discussed and the numerical solution of the optimal control in the anti-squared force field is obtained. Two different examples show that this method can greatly improve the convergence and solve the cooperative rendezvous problem of the limited thrust spacecraft quickly and effectively.