基于拉格朗日插值的光纤陀螺时延补偿方法

针对光纤陀螺存在时延环节而影响了光纤惯组的导航位置精度的问题,从陀螺仪原理出发,分析光纤陀螺仪时延产生的机理以及不同方向陀螺仪时延特性与导航位置精度之间的关系。在此基础上,提出了基于拉格朗日插值的时延补偿方法,通过拉格朗日插值运算得到当前时刻的对准信息,从而实现了三个方向的陀螺仪输出的时间配准。通过仿真和多自由度导航试验验证,证明了该方法的正确性和有效性,该方法易于实现,通过补偿导航位置精度提高了21%。

Time-delay compensation method of FOG based on Lagrange interpolation

The time delay link exited in fiber optic gyroscope (FOG) would affect the inertial navigation system positioning accuracy.Based on the principle of gyroscope,the time delay mechanism of FOG and the relationship between delay characteristic of different azimuth FOGs and navigation positioning precisions were analyzed.On this basis,the time delay compensation method based on Lagrange interpolation is proposed to get the alignment information at that moment by Lagrange interpolation extrapolation,so as to realize the FOG output time registration in the three directions.Simulation and multi-degree of freedom navigation experiments verify the validity of the theoretical analysis and the compensation method.With this method,the accuracy of navigation system is improved by 21％.