放入式电子测压器应用环境下动态校准数据拟合方法研究  

Research on Fitting Method of Dynamic Calibration Data in the Application Environment of Internal Electronic Pressure Gauge

作　　者：赵彦凯 裴东兴[1] 石垒 张瑜[1] ZHAO Yankai;PEI Dongxing;SHI Lei;ZHANG Yu(National Key Laboratory for Electronic Measurement Technology,North University of China,Taiyuan 030051,Shanxi,China;Beijing Institute of Aerospace Control Devices,Beijing 100039,China)

机构地区：[1]中北大学电子测试技术国家重点实验室,山西太原030051 [2]北京航天控制仪器研究所,北京100039

出　　处：《火炮发射与控制学报》2021年第1期78-81,102,共5页Journal of Gun Launch & Control

基　　金：装备预研重点实验室基金(6142001180408)。

摘　　要：比较了普通最小二乘法、整体最小二乘法在放入式电子测压器应用环境下动态校准过程中数据拟合的差异。分析描述了两种拟合方法的基本理论与回归模型,并推导了整体最小二乘法的具体解算过程;从模型、参数估计和精度评定等方面对两种线性拟合方法进行了对比。由于校准实验本身的特殊性,拟合直线应确保标准量值与拟合直线的y值之差的平方和最小,所以普通最小二乘法在放入式电子测压器校准工作中还是最为适用的。只有当自变量以及因变量的误差都不能忽略不计时,整体最小二乘法有望获得最佳的拟合效果。The differences of data fitting between ordinary least squares method(LS)and total least squares method(TLS)in the dynamic calibration process in the application environment of the internal electronic pressure gauge are compared.The basic theories and regression models of the two fitting methods are analyzed and described,with the specific solving process of the total least square method derived.The two linear fitting methods are compared in terms of model,parameter estimation and accuracy evaluation.Due to the particularity of the calibration experiment itself,the fitted straight line should ensure that the sum of the squares of the differences between the standard value and the y value of the fitted straight line is minimized.Therefore,ordinary least squares method is still most suitable for the calibration of the internal electronic pressure gauge.Only when the errors of the independent and dependent variables cannot be ignored,is the total least squares method expected to obtain the best fitting effect.

关 键 词：膛压测试 动态校准 最小二乘法 整体最小二乘法 线性拟合 

分 类 号：TH823[机械工程—仪器科学与技术]