Research on IMU Calibration Model Based on Polar Decomposition

As an important deterministic error of the inertial measurement unit (IMU), the installation error has a serious impact on the navigation accuracy of the strapdown inertial navigation system (SINS). The impact becomes more severe in a highly dynamic application environment. This paper proposes a new...

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Main Authors: Guiling Zhao, Maolin Tan, Xu Wang, Weidong Liang, Shuai Gao, Zhijian Chen
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Micromachines
Subjects:
Online Access:https://www.mdpi.com/2072-666X/14/3/697
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author Guiling Zhao
Maolin Tan
Xu Wang
Weidong Liang
Shuai Gao
Zhijian Chen
author_facet Guiling Zhao
Maolin Tan
Xu Wang
Weidong Liang
Shuai Gao
Zhijian Chen
author_sort Guiling Zhao
collection DOAJ
description As an important deterministic error of the inertial measurement unit (IMU), the installation error has a serious impact on the navigation accuracy of the strapdown inertial navigation system (SINS). The impact becomes more severe in a highly dynamic application environment. This paper proposes a new IMU calibration model based on polar decomposition. Using the new model, the installation error is decomposed into a nonorthogonal error and a misalignment error. The compensation of the IMU calibration model is decomposed into two steps. First, the nonorthogonal error is compensated, and then the misalignment error is compensated. Based on the proposed IMU calibration model, we used a three-axis turntable to calibrate three sets of strapdown inertial navigation systems (SINS). The experimental results show that the misalignment errors are larger than the nonorthogonal errors. Based on the experimental results, this paper proposes a new method to simplify the installation error. This simplified method defines the installation error matrix as an antisymmetric matrix composed of three misalignment errors. The navigation errors caused by the proposed simplified calibration model are compared with the navigation errors caused by the traditional simplified calibration model. The 48-h navigation experiment results show that the proposed simplified calibration model is superior to the traditional simplified calibration model in attitude accuracy, velocity accuracy, and position accuracy.
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spelling doaj.art-4c8849ba99654eabafc6d3f7ac262e012023-11-17T12:44:26ZengMDPI AGMicromachines2072-666X2023-03-0114369710.3390/mi14030697Research on IMU Calibration Model Based on Polar DecompositionGuiling Zhao0Maolin Tan1Xu Wang2Weidong Liang3Shuai Gao4Zhijian Chen5School of Geomatics, Liaoning Technical University, Fuxin 123000, ChinaSchool of Geomatics, Liaoning Technical University, Fuxin 123000, ChinaSchool of Geomatics, Liaoning Technical University, Fuxin 123000, ChinaSchool of Geomatics, Liaoning Technical University, Fuxin 123000, ChinaSchool of Geomatics, Liaoning Technical University, Fuxin 123000, ChinaSchool of Geomatics, Liaoning Technical University, Fuxin 123000, ChinaAs an important deterministic error of the inertial measurement unit (IMU), the installation error has a serious impact on the navigation accuracy of the strapdown inertial navigation system (SINS). The impact becomes more severe in a highly dynamic application environment. This paper proposes a new IMU calibration model based on polar decomposition. Using the new model, the installation error is decomposed into a nonorthogonal error and a misalignment error. The compensation of the IMU calibration model is decomposed into two steps. First, the nonorthogonal error is compensated, and then the misalignment error is compensated. Based on the proposed IMU calibration model, we used a three-axis turntable to calibrate three sets of strapdown inertial navigation systems (SINS). The experimental results show that the misalignment errors are larger than the nonorthogonal errors. Based on the experimental results, this paper proposes a new method to simplify the installation error. This simplified method defines the installation error matrix as an antisymmetric matrix composed of three misalignment errors. The navigation errors caused by the proposed simplified calibration model are compared with the navigation errors caused by the traditional simplified calibration model. The 48-h navigation experiment results show that the proposed simplified calibration model is superior to the traditional simplified calibration model in attitude accuracy, velocity accuracy, and position accuracy.https://www.mdpi.com/2072-666X/14/3/697IMUcalibrationpolar decompositionnonorthogonal errormisalignment errorinstallation error model
spellingShingle Guiling Zhao
Maolin Tan
Xu Wang
Weidong Liang
Shuai Gao
Zhijian Chen
Research on IMU Calibration Model Based on Polar Decomposition
Micromachines
IMU
calibration
polar decomposition
nonorthogonal error
misalignment error
installation error model
title Research on IMU Calibration Model Based on Polar Decomposition
title_full Research on IMU Calibration Model Based on Polar Decomposition
title_fullStr Research on IMU Calibration Model Based on Polar Decomposition
title_full_unstemmed Research on IMU Calibration Model Based on Polar Decomposition
title_short Research on IMU Calibration Model Based on Polar Decomposition
title_sort research on imu calibration model based on polar decomposition
topic IMU
calibration
polar decomposition
nonorthogonal error
misalignment error
installation error model
url https://www.mdpi.com/2072-666X/14/3/697
work_keys_str_mv AT guilingzhao researchonimucalibrationmodelbasedonpolardecomposition
AT maolintan researchonimucalibrationmodelbasedonpolardecomposition
AT xuwang researchonimucalibrationmodelbasedonpolardecomposition
AT weidongliang researchonimucalibrationmodelbasedonpolardecomposition
AT shuaigao researchonimucalibrationmodelbasedonpolardecomposition
AT zhijianchen researchonimucalibrationmodelbasedonpolardecomposition