基于函数逼近的未来空域窗瞄准点配置方法

摘要

Future airspace window is a new method for fire shooting,and the aiming-points configuration for it is a key point to solve for practical shooting operation.To describe the ammo dispersion decided by aiming-points configuration,the intermediate function is adopted.A function approximation method with derivative-free optimization is used to optimize the configuration parameters,with the distance norm of the intermediate function and that of the optimal intermediate function set as an index,so that the kill probability under the given configuration can approximate its upper bound.With mesh configuration and circular configuration as examples,the proposed approximation method and an analytical method are respectively applied to solve the aiming-points configuration parameters,as well as the kill probability,in different relative errors.The results show the advantages of the approximation method in more approaching the upper bound of kill probability and more universal in applications.%未来空域窗是一种新的火炮射击体制,而弹丸瞄准点配置是其中要解决的关键问题,它决定了射击的具体实施.未来空域窗弹丸散布密度可以用中间函数来描述,在求解最优中间函数的基础上,利用函数逼近的方法,以给定瞄准点配置的中间函数与最优中间函数的距离差范数作为指标,通过无导数优化方法优化配置参数,使瞄准点配置的毁伤目标概率接近毁伤概率上界.以瞄准点网状和圆形配置为例,给出不同相关误差条件下采用逼近方法与解析方法得到的未来空域窗瞄准点配置参数,及相应的毁伤目标概率.结果表明,逼近法与毁伤概率上界的差距最小,且方法通用性好.