常规弹药滚转角磁测算法中偏航角干扰分析

在常规弹药利用地磁场信息制导中根据其弹道特点通常将偏航角设为零进行弹体滚转角解算,这就会导致偏航角变化时滚转角解算精度受到影响.针对滚转角磁测算法中假设偏航角为零时偏航角变化会引起滚转角解算误差的特性,采用非线性系统小扰动线性化的方法求出偏航角对滚转角解算精度的具体影响规律.首先分析了利用地磁场信息进行滚转角解算的原理并说明算法中偏航角引起滚转角解算误差的原因,然后推导了滚转角解算的系统误差方程并分析影响解算精度的因素,最后进行仿真和半物理实验验证.仿真和实验结果表明,此误差方程能够计算出偏航角变化对滚转角解算误差造成的具体影响,从而为后续常规弹药制导中弹体发射条件提供理论依据.

Interference Analysis of Yaw in Rotation Angle Algorithm of Conventional Ammunition Based on Geomagnetic Information

In navigation of conventional ammunition,projectile''s trajectory yaw angle is usually assumed to be zero to calculate the rotation angle through using geomagnetic information,which leads to the calculation precision of rotation angle is influenced when yaw angle is change.Based on the characteristic that the yaw angle will cause the calculation error of rotation angle in magnetic measurement algorithm,small perturbation linearization of nonlinear system is used to find out the specific impact on yaw angle how to influence the calculation precision of rotation angle.Firstly the fundamental of using the geomagnetic information to resolve rotation angle is analyzed and the reason why yaw angle causes calculation error of rotation angle is explained.Further the equation of calculation error of rotation angle is derived and the factors which influences calculation precision are analyzed.Finally an emulation and experiment is performed.The result of emulation and experiment indicates that the calculation error of rotation angle caused by yaw angle can be calculated from the error equation.So the theory evidence for the launching condition in navigation of conventional ammunition is provided.