A Novel Compensation Method for Time-Grating Sensor’s Dynamic Measurement Error

2014 ◽  
Vol 644-650 ◽  
pp. 1278-1281
Author(s):  
Shi Zheng Sun ◽  
Dong Lin Peng ◽  
Fang Yan Zheng
Keyword(s):  
Measurement Error ◽  
Measurement Accuracy ◽  
Least Square Method ◽  
Dynamic Measurement ◽  
Compensation Method ◽  
Least Square ◽  
Mechanical Processing ◽  
Accuracy Analysis ◽  
Optimal Parameters ◽  
Precision Measuring

In order to improve time-grating sensor’s measurement accuracy, which is influenced by stability of the components, temperature and mechanical processing in precision measuring procedure. A novel compensation method based on Fourier series approach and least square is presented. With this method, the measurement error is separate into a lot of harmonics, and the optimal parameters of compensation are evaluated by least square method. The accuracy analysis certificates that time-grating sensor’s measurement error is reduced from ±14.8′′ to ±2.5′′ by applying the error compensation method, which is compensated about 80% compared with no compensation. Sensor’s accuracy is effectively improved.

scholarly journals Research on Ground Calibration Technology for Geomagnetism Sensors

2018 ◽  
Vol 153 ◽  
pp. 07002 ◽  
Author(s):  
Zhang Hui ◽  
Li Chuanjun ◽  
Liu Yukuan
Keyword(s):  
Measurement Error ◽  
Measurement Accuracy ◽  
Least Square Method ◽  
Error Model ◽  
Least Square ◽  
Paper Analyse ◽  
Environment Factors ◽  
Sensor Error ◽  
Calibration Algorithm ◽  
Ground Calibration

The measurements of geomagnetism sensors are often affected by self-factors, install-factors and environment factors, therefore they often exist error and cause measurement accuracy reduction. Focus on these problems, this paper analyse existing ground calibration algorithms and their merits and demerits respectively. Besides, a comprehensive geomagnetism sensor error model is presented. Based on this model, a least square method based ellipsoid fitting calibration and compensation algorithm is presented. The experiment results show that this novel calibration algorithm can effectively restrain and compensate geomagnetism signal measurement error.

scholarly journals System-Level Temperature Compensation Method for the RLG-IMU Based on HHO-RVR

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
Hao Liang ◽  
Yumin Tao ◽  
Meijiao Wang ◽  
Yu Guo ◽  
Xingfa Zhao
Keyword(s):  
Least Square Method ◽  
Absolute Error ◽  
Performance Comparison ◽  
Compensation Method ◽  
Least Square ◽  
System Level ◽  
Measurement Unit ◽  
Error Terms ◽  
The Stability ◽  
Stability Time

The ring laser gyro inertial measurement unit has many systematic error terms and influences each other. These error terms show a complex nonlinear drift that cannot be ignored when the temperature changes, which seriously affects the stability time and output accuracy of the system. In this paper, a system-level temperature modeling and compensation method is proposed based on the relevance vector regression method. First, all temperature-related parameters are modeled; meanwhile, the Harris hawks optimization algorithm is used to optimize each model parameter. Then, the system compensation is modeled to stabilize the system output to the desired temperature. Compared with the least square method, the fitting performance comparison and the system dynamic compensation experiment prove this method’s superiority. The root mean square error, the mean absolute error, the R -squared, and the variance of residual increased by an average of 35.27%, 39.29%, 2.29%, and 30.34%, respectively.

The Novel Calibration Method for 3-DOF Measurement System

2011 ◽  
Vol 120 ◽  
pp. 440-443
Author(s):  
Kwang Il Lee ◽  
Jin Seok Jang ◽  
Hyun Woo Lee ◽  
Suk Jin Kim ◽  
Sang Ryong Lee ◽  
...  
Keyword(s):  
Measurement System ◽  
Measurement Accuracy ◽  
Least Square Method ◽  
Calibration Method ◽  
Measured Data ◽  
Least Square ◽  
The Novel ◽  
Squareness Error ◽  
Misalignment Error ◽  
Calibration Parameters

In this paper, a novel calibration method is developed to improve the measurement accuracy of 3-DOF measurement system. The squareness error between three sensors and misalignment error with respect to reference coordinate of machine tool are calibration parameters. To estimate these parameters, reference ball is used and moved in the measuring ranges of 3-DOF measurement system. The relation between calibration parameters, position of reference ball, measured data of sensors are defined using geometric constraint and estimated using least square method. Finally, simulation is done to check the feasibility of developed calibration method. The result of simulation revealed the validation of developed method.

Optimal Weighted Least Square Data Fusion Method for Redundant IMU Based on Calculation of Measurement Error

2012 ◽  
Vol 241-244 ◽  
pp. 149-155
Author(s):  
Chuan Xing ◽  
Hai Zhang
Keyword(s):  
Measurement Error ◽  
Data Fusion ◽  
Measurement Errors ◽  
Least Square Method ◽  
Least Square ◽  
Weighted Least Square ◽  
Weighted Matrix ◽  
Measurement Results ◽  
The Difference ◽  
Projection Error

A dodecahedron non-orthogonal redundant IMU configuration was selected as model. To improve fusion accuracy, we proposed an effective calculation method for measurement errors based on the correlation between measurement errors and fusion errors. The method considered the difference between traditional data fusion vector’s projection and measurement results, and then made a conversion from projection error to measurement error. Combined with optimal weighted least square method, measurement error was used to generate an optimal weighted matrix, and this made data fusion errors minimum. Simulations also proved that the fusion result of this method is more accurate than the result of traditional method.

Research and Experiment on Nonlinear Correction Algorithm of Metal Tube Rotameter

2011 ◽  
Vol 301-303 ◽  
pp. 1123-1127
Author(s):  
Gao Zhan Shen ◽  
Tao Zhang ◽  
Ying Xu ◽  
Yan Xing Wei
Keyword(s):  
Measurement Accuracy ◽  
Least Squares Method ◽  
Least Square Method ◽  
Ordinary Least Squares ◽  
Least Square ◽  
Metal Tube ◽  
Correction Algorithm ◽  
Improve Accuracy ◽  
Linear Correction ◽  
Ordinary Least Squares Method

The calibration curve of some metal tube rotameter has the characteristic of mutation. If the nonlinear least square method is still used as the method of linear correction, it will increase the measurement error and reduce the measurement accuracy. This paper presents a Division Ordinary Least Squares Method, which can reduce errors and improve accuracy. By the algorithm comparative experiment it can be proved that the method can improve the measurement accuracy.

scholarly journals The Improvement and application of elevation measurement method with total station

2020 ◽  
Vol 165 ◽  
pp. 03018
Author(s):  
Yiteng Xu ◽  
Xin Zhao ◽  
Hewen Liu ◽  
Feng Xu ◽  
Xiaoqiang Wang
Keyword(s):  
Mathematical Model ◽  
Measurement Error ◽  
Measurement Method ◽  
Measurement Accuracy ◽  
Accuracy Analysis ◽  
Error Sources ◽  
Total Station ◽  
Elevation Measurement ◽  
Measurement Efficiency

In this paper, by analyzing the limitations of the traditional trigonometric elevation method, and on the basis of establishing a mathematical model of trigonometric elevation, a convenient and fast trigonometric elevation method without instrument height and prism height is improved, and the operation steps of the method are introduced in detail. The accuracy analysis was evaluated and the method was applied to actual engineering. The results show that under the premise of ensuring the measurement accuracy, this method not only reduces the range of measurement error sources, but also improves the measurement efficiency.

A New Compensation Method for the Magnetic Interference of Vehicle

2013 ◽  
Vol 373-375 ◽  
pp. 811-814
Author(s):  
Jun Wei Lv ◽  
Zhen Tao Yu ◽  
Li Heng Fan
Keyword(s):  
Magnetic Field ◽  
Field Measurement ◽  
Geomagnetic Field ◽  
Measurement Accuracy ◽  
Compensation Method ◽  
Least Square ◽  
Ellipse Fitting ◽  
Interference Compensation ◽  
Computing Method

It is unavoidable that the geomagnetic field measurement is interfered by the vehicle magnetic field in geomagnetic navigation. In order to improve the measurement accuracy, the magnetic interference of vehicle must be correctly compensated. Based on the ellipse fitting compensation method, a new 3D magnetic interference compensation method is proposed. The proposed method improves the vehicle magnetic interference compensation method from 2D ellipse fitting to 3D ellipsoid fitting by the least square algorithm of ellipsoid restriction, which relaxes the restriction on 2D motion of vehicles. And a computing method of the compensation parameters is proposed to decrease the load of calculation. Finally, the experiment shows that the compensation method can compensate the vehicle 3D magnetic interference efficiently.

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