半导体光电, 2019, 40 (6): 762, 网络出版: 2019-12-17
基于最优子集回归的光纤陀螺变温零偏补偿
Fiber Optic Gyro Temperature-variable Zero-bias Compensation Based on Optimal Subset Regression
光纤陀螺 最优子集回归 零偏补偿 温度 相关性 fiber optic gyroscope optimal subset regression zero offset compensation temperature correlation
摘要
变温环境下, Shupe效应会对陀螺零偏产生影响, 建立线性模型对其进行补偿是工程中常用的一种辅助手段。首先分析陀螺输出漂移与温度的相关性, 然后以温度、温度梯度及二者高阶项、交叉项为自变量集合, 针对随着补偿模型自变量个数逐渐增加, 光纤陀螺补偿后输出漂移极差存在最低值的特性, 提出基于最优子集回归, 确定模型自变量数量, 建立多元多项式回归模型近似求解零偏输出与温度及其相关量的关系。实验与仿真结果表明, 当环境温度在-40~60℃变化时, 100s滑动平均处理后, 该模型使最终的漂移极差减小71.05%, 零偏输出减小94%, 有效地降低了温度对陀螺零偏的影响, 同时具有占用资源少、实时性好的优点。
Abstract
Shupe effect will affect the gyro bias in variable temperature environment, and establishing a linear model to make compensation is a commonly auxiliary method in engineering. In this paper, firstly, the correlation between gyro output drift and temperature was analyzed, and then temperature, temperature gradient and high-order terms and cross terms were used as the independent variable set. For the increase of the number of independent variables in the compensation model, the range of the output drift after the compensation of the fiber gyro has the lowest value, it is proposed to determine the number of independent variables based on the optimal subset regression. The multivariate polynomial regression model was established to approximate the relationship between zero-bias output and temperature and its correlation. The experimental and simulation results show that when the ambient temperature changes from -40℃ to 60℃, the model reduces the final drift range by 71.05% and the zero offset output by 94% after 100s moving average processing. It effectively reduces the influence of temperature on the gyro bias, and has the advantages of occupying less resources and presenting good real-time performance.
胡琼丹, 胡宗福. 基于最优子集回归的光纤陀螺变温零偏补偿[J]. 半导体光电, 2019, 40(6): 762. HU Qiongdan, HU Zongfu. Fiber Optic Gyro Temperature-variable Zero-bias Compensation Based on Optimal Subset Regression[J]. Semiconductor Optoelectronics, 2019, 40(6): 762.