反导子母弹最佳射角方向角和开舱时刻的确定

为了使子母弹抛撒开的子弹散布范围可以覆盖来袭导弹,在分析来袭导弹和子母弹弹道轨迹的基础上,以开舱后子弹群中心点的脱靶量为优化目标,以母弹的射角和方向角为设计变量,建立了无约束优化数学模型。在MATLAB中使用fminsearch无约束优化程序求优,得到了脱靶量取到极小值时母弹的最佳射角和最佳方向角,并根据当弹目距离达到一定数值时母弹开舱的原则计算了母弹开舱的时刻。还研究了优化模型在不同发射时机时的求解情况。计算结果表明,在子母弹的各项参数和来袭目标轨迹给定的情况下,应用优化的方法可解出母弹发射的最佳射角和方向角。随着发射时机越来越晚,最佳射角越来越大,而最佳方向角越来越小。

Computation of Optimal Angle of Fire,Direction Angle and Distribution Moment of Antimissile Shrapnel

The antimissile shrapnel is mainly used in the close-in missile defense system.For the purpose of enveloping the incoming missile by the bullets dispersed by the shrapnel,the ballistic trajectories of the incoming missile and shrapnel are analyzed.After opening the shrapnel ' s cabin,the miss distance error of the bullet group ' s center is defined as the objective function.The angle of fire and direction angle of the shrapnel are chosen as the design variables.An unconstrained optimization model is built a...