SGKW时间最短异面打击轨道的优化方法

Optimization Method of Minimum-time Nonplanar Hit Orbit for SGKW

天基对地打击动能武器(SGKW)用于从太空对地面高价值战略目标进行快速、准确的打击。针对最短打击时间要求,研究了SGKW异面打击轨道的优化设计方法。首先建立了SGKW的无量纲化空间运动模型,然后利用庞特里亚金极大值原理将时间最短打击轨道的最优控制问题转化为两点边值问题。由于约束条件中存在优化参数,一种基于"遗传算法+序列二次规划"的组合优化算法被用于求解未知参数。最后对上述方法进行了仿真验证。

The space-to-ground kinetic weapon （SGKW） is mainly used to rapidly and exactly strike the ground strategic target with high worth from space. According to the requirement of minimum nonplanar hit time, a method of hit orbit optimization design for SGKW was discussed Firstly the dimensionless spatial motion model of SGKW was founded, and then the optimal control problem of minimum-time hit orbit was translated into two-point-boundary-value problem by Pontryagin maximum principle. Because optimization parameters were involved in the constraint conditions, a combined optimization algorithm based on genetic algorithm and sequential quadratic programming was used to calculate the unknown parameters. Finally the method presented was validated by simulation.