单OSV服务多卫星的转移轨道优化研究

Optimization research on transfer trajectory of single OSV serving multi satellites

利用混合法解决了有限推力作用下单OSV服务多卫星的转移轨道优化问题。首先从OSV携带燃料的角度出发,初步筛选出在其服务范围内的服务对象,基于双脉冲交会假设,确定了服务序列以及时间节点;其次针对每一段转移轨道,利用Pontryagin极小值原理推导出最优控制律,设定开-关-开的发动机工作方式,将初始协态变量和开关机时间进行参数化处理,采用遗传算法对非线性规划问题进行求解;最后对整条轨道进行拼接优化。仿真结果表明,混合法对协态变量初值猜测敏感性小,降低了搜索最优转移轨道的难度,且控制轨线光滑。

This paper presents the method of optimizing the finite-thrust transfer trajectory of OSV serving multi satellites with the hybrid method. Firstly,the objects served were preliminarily selected within the service range according to the fuel taken by OSV,and based on the double pulse rendezvous hypothesis,the service sequence and time nodes were determined. Secondly,for each segment of the whole transfer trajectory,the optimal control law was derived by Pontryagin＇s minimum principle,the engine operating mode was set to be on-off-on,the initial values of adjoint variables and the switching time were parameterized,and nonlinear programming was solved by genetic algorithm. Finally,the whole trajectory was optimized by mosaic method. The results of simulation show that the initial values guess sensitivity of adjoint variables is low by hybrid method,which reduces the difficulty of searching optimal transfer trajectory,and the control steering is smooth.