基于时间最短的SGKW共面打击轨道优化设计

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共面打击轨道的优化设计方法。首先建立了SGKW的无量纲化平面运动模型,然后利用庞特里亚金极大值原理将时间最短共面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。仿真结果验证了上述方法的有效性。

Design optimization of the shortest time coplanar hit orbit for SGKW

The space-to-ground kinetic weapon(SGKW) from space is mainly used to rapidly and exactly strike high-worth strategic targets on the ground.According to shortest time hit requirement,the optimization design method for SGKW coplanar hit orbit was investigated.Firstly the dimensionless planar motion model of SGKW was established;then the optimal control problem of shortest time coplanar hit orbit was transformed into two-point boundary value problem by means of Pontryagin maximum principle.As there exist the optimization parameters in the constraint conditions,a combined optimization algorithm based on genetic algorithm and sequential quadratic programming was used for solving some unknown parameters.The effectiveness of the above method is verified by the simulation results.