摘要
为了解决接触式轮廓扫描仪由于部件安装不精确而对测量数据结果造成偏差的问题,分析了误差的主要来源,运用最小二乘法的思想,以残差平方和最小为优化目标建立系统的误差处理模型,提出并建立一套基于LM算法迭代求出系统参数的现场标定方法,并使用MATLAB软件编程验证了算法可行性且对算法进行了鲁棒性实验,仿真实验数据表明该算法可实现对系统参数的精确标定与坐标的修正,收敛速度快,精确度高可以将测量误差控制在0.05 mm以下,角度误差控制在0.1°以下,大大降低了扫描仪的制造和安装精度要求。
In order to solve the contact profile scanner due to defective components are installed and the problem that the deviation caused by the result of the measurement data, this paper analyzes the main source of error, based on the idea of least square method, the minimum residual sum of squares as the optimization target processing error of the system model is established, and establish a set of based on LM algorithm iteration the field calibration method of system parameter, and using MATLAB software programming algorithm is verified the feasibility and robustness of algorithm in experiments, simulation experiments data shows that the algorithm can realize accurate calibration of system parameters and coordinates of correction, fast convergence rate, High accuracy can control the measurement error below 0.05 mm, Angle error control below 0.1°, greatly reducing the scanner′s manufacturing and installation accuracy requirements.
作者
高彤
陈鸿
王晋祺
李建鑫
柴世豪
Gao Tong;Chen Hong;Wang Jinqi;Li Jianxin;Chai Shihao(State Key Laboratory of Electronic Test Technology,Key Laboratory of Instrument Science and Dynamic Measurement of Ministry of Exlucation,North University of China,Taiyuan 030051,China;Shanghai Radio Equipment Research Institute,Shanghai 201109,China)
出处
《电子测量技术》
北大核心
2021年第1期65-69,共5页
Electronic Measurement Technology
基金
山西省重点研发计划(201903D121060,201903D121118)项目资助。
关键词
参数标定
非线性最小二乘法
迭代
LM算法
鲁棒性
parameter calibration
nonlinear least square method
iteration
LM algorithm
robustness
