单段导弹弹道轨迹B样条稳健回归分析

Analysis of Single Segment Missile Trajectory Building on Robust Regression Based on B-spline

利用B样条基构建了导弹弹道位置、倾角和偏角的拟合函数。利用导弹飞行观测数据,运用稳健回归方法,结合导弹运动学方程对导弹飞行轨迹进行拟合,并进一步分析了拟合误差。对导弹测试数据进行了反复计算、拟合和验证,结果表明:模拟计算结果和真实轨迹的误差可以控制在1 mm内,能较为精确地拟合导弹飞行轨迹曲线,对导弹飞行性能和故障分析具有指导意义。

This paper constructs fitting function of the position,obliquity and yaw of missile trajectory with a B-spline basis. The fit trajectory is accomplished with the application of the method of robust regression based on the measuring data of trajectory,coupled with flight momentum equation of missile;and the fitting error is thus further analyzed. Through iterative computing,fitting and trial,the results show that the error between analog computation results and real trajectory is limited to be less than a millimeter and can be accurately fit to the flight trajectory curves,which is significant to analyzing the performance and fault of missile flight.