多层次法防空导弹弹道优化设计

为了使导弹优化的弹道更有效地杀伤目标,采用多层次法来设计防空导弹中制导段弹道.整个模型分为3层,第1层是导弹中制导段弹道,第2层是导弹末制导段,第3层是战斗部毁伤目标.第1层弹道限定中末段交班点处的弹道倾角进行优化.交班点弹道倾角作为联系第1、2层的全局变量,随它变化而产生一系列的优化弹道.第2层是导弹自寻的模型,通过Monte-Carlo仿真得到脱靶量分布的数学期望和标准差,这是联系第2、3层的全局变量.第3层由脱靶量的分布计算杀伤概率,最大杀伤概率对应的第1层弹道就是系统的最优解.多层次法表明了中制导段弹道优化设计和最终导弹杀伤概率之间的关系,使得杀伤概率这一效能指标能够作为中制导段弹道优化的指标.最后进行了拦截高空高速巡航目标和低空低速巡航目标的算例计算. 

Trajectory optimization design for surface-to-air missile using multilayer approach

A multilayer approach to the midcourse trajectory design for a surface-to-air missile to maximize the kill probability was presented.Three layers were discussed.The first layer represented the midcourse trajectory of the missile,the second layer represented the terminal homing phase,and the third layer was the warhead damaging process.The first-layer trajectory was optimized with a constraint on the value of pitch angle at the handover point to the terminal phase.The pitch angle was used as the global parameter to combine the first and second layer in generating a field of optimum first-layer midcourse trajectories.The second-layer was a Monte-Carlo terminal homing simulation to get the average and standard deviation of miss distance,which combined the second-layer and the third-layer.The third-layer calculated the missile's kill probability by using the standard deviation of miss distance.The pitch angle and midcourse which maximizing the kill probability were the optimum results of the system.The multilayer approach demonstrates the connection between the midcourse trajectory design and the kill probability.It allows the kill probability be a measure in the midcourse trajectory optimization.Two cases that intercepting high-attitude-high-speed and low-attitude-low-speed cruising target are presented.