基于拉丁超立方抽样的导弹快速精度分析与误差补偿方法

Error Compensation Method and Rapid Accuracy Analysis for Missile Based on Latin Hypercube Sampling

针对导弹精度分析耗时长,补偿量计算与实际发射脱节的问题,提出一种快速计算导弹射击精度和误差补偿量的新方法。其将拉丁超立方抽样与对偶变数法相结合的抽样方法引入导弹精度分析,保证仿真精度的同时减少抽样次数。设计了拉丁超立方试验,并对导弹精度进行确定性仿真分析,得到导弹落点偏差与各制导工具误差系数的简化函数关系式,建立了导弹射前补偿量的快速计算公式。仿真实例表明该方法可以有效的缩减计算时间。

Aiming at problems in missile accuracy analysis like long time costs, disjunction between compensation calculation and actual emission, a new method for rapid calculation of missile firing accuracy and error compensation quantity is presented. Combined Latin hypercube sampling with antithetic variable method, the method introduces the sampling method into missile accuracy analysis, to decrease sampling numbers and keep simulation precision. We designed Latin hypercube experiment; conducted deterministic simulation analysis for missile accuracy; designed Latin hypercube experiment and made certainty simulation analysis for missile accuracy, thus obtained the simplified functional expressions of missile＇s impact point deviation and error coefficient of each guidance instrument; built rapid calculation formula of prelaunch compensation quantity. The simulation example shows the method can effectively reduce calculation time.