基于正弦曲线拟合法实现陀螺罗盘快速精寻北

Algorithm for fast north-seeking of gyrocompass based on sine curve fitting

在对陀螺罗盘精寻北进行研究的过程中,发现陀螺罗盘精寻北耗时很长,不能满足要求,而在保证精度的前提下缩短其精寻北时间是作战需要。为了兼顾陀螺罗盘精寻北的精度和效率,分析了精寻北时陀螺灵敏部摆动模型,发现陀螺灵敏部绕当地子午面做有偏移的正弦摆动,于是提出了一种正弦曲线拟合算法以解算陀螺罗盘仪器中心的方位角。实验表明,利用1/4周期的数据进行正弦曲线拟合寻北,精度略低于积分法,精寻北时间却可由传统积分法的150 s减至37.5 s,大幅缩减了寻北时间。因此,正弦曲线拟合算法是提高陀螺罗盘寻北效率的有效途径。

In studying the precise north-seeking based on gyrocompass,it is found that the precise north-seeking lasts too long to meet the requirement.In modern war,it＇s urgent to shorten the precise north-seeking time of gyrocompass under the premise of certain precision.Giving consideration to both above aspects,a math model of gyrocompass＇ precise north-seeking is analysed and it is concluded that the gyro rotor does simple harmonic oscillation around north.Then an algorithm based on sine curve fitting is put forward to calculate the azimuth angle of gyrocompass＇ principal axis.Experiments show that,when using 1/4 period＇s data for sine curve fitting,compared to the integral method,the precision is only a little worse while time of precise north-seeking is shortened from 150 s to 37.5 s.Therefore,sine curve fitting is an effective way to improve the gyrocompass＇ north-seeking efficiency.