基于松弛变量法的目标散布区计算方法

Calculation method of target distribution area based on relaxation variable method

计算目标散布区大小是反舰导弹战术决策和目标捕获概率计算的前提条件,在研究反舰导弹对目标追击捕获模型的基础上,基于松弛变量法,建立了目标散布区计算方程,并给出了充要条件证明,获得了目标散布区的解析模型,在目标运动方向任意机动的假设下,得到了目标机动不受限条件下运动方向的最优值,给出了一般条件下的计算公式,通过仿真算例,对比了不同仿真参数条件下散布区域的变化情况,可为作战指挥人员决策使用提供直观参考和估算依据。

The calculation of target distribution area is a prerequisite for anti-ship missile tactical decision-making and target acquisition probability calculation.On the basis of studying the target pursuit model of anti-ship missile,based on the relaxation variable method,the calculation equation for the target distribution is established,sufficient and necessary conditions are proved,the analytical model of target distribution area is obtained.Under the assumption that the target movement direction is arbitrary,and the calculation form under general conditions is given.Through the simulation example,the variation of distribution area under different conditions is compared,which can provide intuitive reference and estimation basis for the decision-making and use of the battle commanders.