一种基于模观测法的离心机加速度计组合标定方法研究  

A Calibration Method for Accelerometer Combination on Centrifuge Based on Norm-observation Method

作　　者：王世明[1] 李梦真 WANG Shi-ming;LI Meng-zhen(School of Electronic Information and Automation, Tianjin University of Science and Technology, Tianjin 300222, China)

机构地区：[1]天津科技大学电子信息与自动化学院,天津300222

出　　处：《导航定位与授时》2021年第6期138-146,共9页Navigation Positioning and Timing

基　　金：天津市自然科学基金青年基金(18JCQNJC74700);“十三五”综投基本科研业务费项目(2018KJ103)。

摘　　要：为了实现惯性组合中加速度计误差模型系数的整体标定,提高惯性导航系统的导航精度,应用模观测法重点实现了对加速度计二次项系数的标定。应用Tylor级数对加速度模型的解进行多项式展开,利用最小二乘法求得含误差模型系数的中间变量,并给出了加速度计的二次项系数、标度因数以及零偏的计算公式。设计了20位置法对加速度计组合进行标定,通过仿真验证了该方法的有效性,并分析了安装误差角和杆臂误差对系数标定精度的影响。结果表明,安装误差角与杆臂误差对系数标定的影响小于10^(-8),在实际标定过程中可以忽略。In order to realize the overall calibration of the error model coefficients of the accelerometers in the inertial combination,and to improve the navigation accuracy of the inertial navigation system,norm-observation method is applied to the calibration especially for the quadratic coefficient of the accelerometer.The Tylor series is used to expand the solution of the acceleration model,and the intermediate variables with error model coefficients are obtained by using the least square method.The formulas for calculating the quadratic term coefficient,scale factor and bias of the accelerometer are given.A 20-position method is designed to calibrate the accelerometer combination,the effectiveness of the method is verified by simulation,and the effects of installation misalignment and rod arm error on calibration accuracy are analyzed.The results show that the installation misalignment and rod arm error have little influence on the coefficient calibration,less than 10^(-8),and can be neglected in practical calibration process.

关 键 词：模观测法 加速度计组合 精密离心机 标定方法 

分 类 号：TH824.3[机械工程—仪器科学与技术] U666.1[机械工程—精密仪器及机械]