基于Lyapunov最优反馈控制的月球中继卫星转移轨道设计

摘要： 随着电推进器及小推力转移变轨的研究逐渐深入，在深空探测领域应用电推力器是必然的发展趋势.文章基于以月球中继卫星的运行轨道地月L2点Halo轨道为目标轨道的轨道转移任务，采用Lyapunov最优反馈控制方法，计算单一轨道根数的局部最优控制率，通过遗传算法调整五个轨道根数的权重，得到时间最优的月球中继卫星小推力轨道转移方案，具有工程应用意义.

Transfer Trajectory Design for Lunar Relay Satellite Based on Lyapunov Optimal Feedback Control

Abstract：Electric thruster will play a more and more important role with the development of electric thrusters and low thrust based orbital transfer. The transfer trajectory optimal design is focused on for Lunar Relay Satellite, which works on the Halo orbit around translunar Libration point L2. Local optimal control for each of the orbit elements is calculated based on Lyapunov feedback control algorithm, and genetic algorithm is chosen to calculate the scalar weights for five orbit elements of transfer trajectory. The result shows the optimal control strategy of transfer trajectory for Lunar Relay Satellite has important engineering meaning.