An Improved Calibration Method for the Misalignment Error of a Triaxial Magnetometer and Inertial Navigation System in a Three-Component Magnetic Survey System

In order to calibrate the misalignment error of a triaxial magnetometer and an inertial navigation system in a three-component magnetic survey system, an improved method with easy realization is proposed in this paper. We establish the misalignment error model based on Euler’s theorem. We transform...

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Main Authors: Supeng Li, Defu Cheng, Quanming Gao, Yi Wang, Liangguang Yue, Mingchao Wang, Jing Zhao
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/19/6707
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author Supeng Li
Defu Cheng
Quanming Gao
Yi Wang
Liangguang Yue
Mingchao Wang
Jing Zhao
author_facet Supeng Li
Defu Cheng
Quanming Gao
Yi Wang
Liangguang Yue
Mingchao Wang
Jing Zhao
author_sort Supeng Li
collection DOAJ
description In order to calibrate the misalignment error of a triaxial magnetometer and an inertial navigation system in a three-component magnetic survey system, an improved method with easy realization is proposed in this paper. We establish the misalignment error model based on Euler’s theorem. We transform the calibration of misalignment error into estimating calibration parameters to minimize the value of objective function. Then, the nonlinear least squares method is used to estimate the calibration parameters. In the simulation experiment, the deviation between the value and the preset value is within 1 nT. In the field experiment, the fluctuation value of the <i>x</i>, <i>y</i>, and <i>z</i> components reduce to 1.09%, 0.92%, and 1.28%, respectively. The absolute deviation values are reduced to 0.72%, 0.70%, and 0.81% and the standard deviation value are reduced to 0.74%, 0.71%, 0.86%, respectively. The proposed method has advantages of high operability and precision as compared with existing methods.
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spelling doaj.art-b7a372233071487886a7f4f02e381ea42023-11-20T15:05:35ZengMDPI AGApplied Sciences2076-34172020-09-011019670710.3390/app10196707An Improved Calibration Method for the Misalignment Error of a Triaxial Magnetometer and Inertial Navigation System in a Three-Component Magnetic Survey SystemSupeng Li0Defu Cheng1Quanming Gao2Yi Wang3Liangguang Yue4Mingchao Wang5Jing Zhao6College of Instrumentation and Electrical Engineering, Jilin University, Changchun 130061, ChinaCollege of Instrumentation and Electrical Engineering, Jilin University, Changchun 130061, ChinaCollege of Instrumentation and Electrical Engineering, Jilin University, Changchun 130061, ChinaCollege of Instrumentation and Electrical Engineering, Jilin University, Changchun 130061, ChinaCollege of Instrumentation and Electrical Engineering, Jilin University, Changchun 130061, ChinaCollege of Instrumentation and Electrical Engineering, Jilin University, Changchun 130061, ChinaCollege of Instrumentation and Electrical Engineering, Jilin University, Changchun 130061, ChinaIn order to calibrate the misalignment error of a triaxial magnetometer and an inertial navigation system in a three-component magnetic survey system, an improved method with easy realization is proposed in this paper. We establish the misalignment error model based on Euler’s theorem. We transform the calibration of misalignment error into estimating calibration parameters to minimize the value of objective function. Then, the nonlinear least squares method is used to estimate the calibration parameters. In the simulation experiment, the deviation between the value and the preset value is within 1 nT. In the field experiment, the fluctuation value of the <i>x</i>, <i>y</i>, and <i>z</i> components reduce to 1.09%, 0.92%, and 1.28%, respectively. The absolute deviation values are reduced to 0.72%, 0.70%, and 0.81% and the standard deviation value are reduced to 0.74%, 0.71%, 0.86%, respectively. The proposed method has advantages of high operability and precision as compared with existing methods.https://www.mdpi.com/2076-3417/10/19/6707triaxial magnetometerinertial navigation systemmisalignment errorthree-component magnetic survey system
spellingShingle Supeng Li
Defu Cheng
Quanming Gao
Yi Wang
Liangguang Yue
Mingchao Wang
Jing Zhao
An Improved Calibration Method for the Misalignment Error of a Triaxial Magnetometer and Inertial Navigation System in a Three-Component Magnetic Survey System
Applied Sciences
triaxial magnetometer
inertial navigation system
misalignment error
three-component magnetic survey system
title An Improved Calibration Method for the Misalignment Error of a Triaxial Magnetometer and Inertial Navigation System in a Three-Component Magnetic Survey System
title_full An Improved Calibration Method for the Misalignment Error of a Triaxial Magnetometer and Inertial Navigation System in a Three-Component Magnetic Survey System
title_fullStr An Improved Calibration Method for the Misalignment Error of a Triaxial Magnetometer and Inertial Navigation System in a Three-Component Magnetic Survey System
title_full_unstemmed An Improved Calibration Method for the Misalignment Error of a Triaxial Magnetometer and Inertial Navigation System in a Three-Component Magnetic Survey System
title_short An Improved Calibration Method for the Misalignment Error of a Triaxial Magnetometer and Inertial Navigation System in a Three-Component Magnetic Survey System
title_sort improved calibration method for the misalignment error of a triaxial magnetometer and inertial navigation system in a three component magnetic survey system
topic triaxial magnetometer
inertial navigation system
misalignment error
three-component magnetic survey system
url https://www.mdpi.com/2076-3417/10/19/6707
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