基于非充分测量数据的惯性弹道反推方法研究

Method of Inertial Ballistic Reverse Calculate Based on Insufficient Measurement Data

为解决在雷达观测数据少、未知弹道较长弹道推算误差大的问题,建立一种基于非充分测量数据的惯性飞行弹道精确反推方法。采用降阶刚体弹道方程,在弹箭种类识别的基础上,分析了弹箭反推弹道特性,采用C-K法辨识,改进了递推平均滤波法,有效解决了计算过程中的发散问题,形成了完整的基于非充分测量数据的惯性弹道反推方法。计算结果表明,雷达测量数据长度越长,计算精度越高;当弹箭特征参数较准确时,反推结果误差小,反算射程误差≤3‰,当特征参数在误差较大时精度稍差,但仍能满足使用要求。该方法能够利用雷达非充分测量数据准确进行弹道反算,对雷达测量长度依赖小,具有通用性。

In order to solve the problem of large error in ballistic calculation when the radar observation data is less and the unknown ballistic is long,an accurate method of inertial ballistic reverse calculate based on insufficient measurement data was established.Using reduced order rigid body ballistic equation,the characteristics of ballistic recerse calculate were analyzed,and the unknown coefficients were identified by using c-k method,the recursice average filtering method was improved to solve the divergence problem in the calculation process,the complete method of inertial ballistic reverse calculate based on insufficient measurement data was formedbased on the identification of projectile type.The calculation results show that,the more radar measurement,the higher calculation accuracy.When the characteristic parameters of projectile are accurate,the error of reverse calculation is small,and the range error is≤3‰,and when there are errors in the feature parameters,the accuracy is slightly poor,but it can still meet the requirements.The method can accurately calculate the ballistic based on the insufficient radar measurement data,and has a certain universality because of less dependence on radar data.