Hostname: page-component-745bb68f8f-b6zl4 Total loading time: 0 Render date: 2025-01-22T06:40:33.747Z Has data issue: false hasContentIssue false
  • English
  • Français

A calibration method for accelerometer combination on centrifuge based on norm-observation method

Published online by Cambridge University Press:  13 January 2025

Shi-ming Wang ,
Meng-zhen Li  and
Xiao-long Zhang
Shi-ming Wang*
Affiliation:
College of Electronic Information and Automation, Tianjin University of Science and Technology, Tianjin 300222, China
Meng-zhen Li
Affiliation:
College of Electronic Information and Automation, Tianjin University of Science and Technology, Tianjin 300222, China
Xiao-long Zhang
Affiliation:
College of Electronic Information and Automation, Tianjin University of Science and Technology, Tianjin 300222, China
*
*Corresponding author: Shi-ming Wang; Email: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

To realise the overall calibration of the error model coefficients of accelerometers in an inertial combination and to improve the navigation accuracy of the inertial navigation system, a norm-observation method is applied to the calibration, especially for the quadratic coefficient of the accelerometer. The Taylor formula is used to expand the solution of the acceleration model, and the intermediate variables with error model coefficients are obtained using the least square method. The formulas for calculating the quadratic term coefficient, scale factor and bias of the accelerometer are given. A 20-position method is designed to calibrate the accelerometer combination, the effectiveness of the method is verified by simulation, and the effects of installation misalignment and rod-arm error on calibration accuracy are analysed. The results show that the installation misalignments and rod-arm errors have little influence on the coefficient calibration, less than 10−8, and can be neglected in a practical calibration process.

Keywords

norm-observation methodaccelerometer combinationprecision centrifugecalibration method
Type
Research Article
Information
The Journal of Navigation , First View , pp. 1 - 15
Check for updates
Copyright
Copyright © The Author(s), 2025. Published by Cambridge University Press on behalf of The Royal Institute of Navigation

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bruns, T. and Gazioch, S. (2016). Correction of shaker flatness deviations in very low frequency primary accelerometer calibration. Metrologia, 53(3), 986–990.CrossRefGoogle Scholar
Chun-mei, D., Shun-qing, R. and Xi-jun, C. (2018). Norm-observation calibration method of laser gyro strapdown inertial navigation system. Infrared and Laser Engineering, 47(9), 1–9.Google Scholar
Guanjinzi, Y., Jianchen, L., Hai, H. and Gang, C. (2017). Accelerometer calibration method without turntable based on genetic algorithm. Journal of Chinese Inertial Technology, 25(1), 119–123.Google Scholar
Hongliang, Z., Yuan-xin, W., Ya-bing, Z., Mei-ping, W. and Xiao-ping, H. (2010). Calibration errors of high-precision inertial measurement units. Journal of National University of Defense Technology, 32(1), 142–146.Google Scholar
Li, X., Song, BQ., Wang, YJ., Niu, JH. and Li, Z. (2018). Calibration and alignment of tri-axial magnetometers for attitude determination. IEEE Sensors Journal, 18(18), 7399–7406.CrossRefGoogle Scholar
Lötters, J. C., Schipper, J., Veltink, P. H., Olthuis, W. and Bergveld, P. (1998). Procedure for in-use calibration of triaxial accelerometers in medical applications. Journal of Applied Behavior Analysis, 68(1-3), 221–228.Google Scholar
Rohac, J., Sipos, M. and Simanek, J. (2015). Calibration of low-cost triaxial inertial sensors. IEEE Instrumentation & Measurement Magazine, 18(6), 32–38.CrossRefGoogle Scholar
Shaowu, D., Kehong, W. and Hongde, D. (2014). A new MIMU calibration method based on model observation. Automation and Instrumentation, 2014(11), 102–106.Google Scholar
Shaowu, D., Qiangqiang, C., Zijian, N. and Hongde, D. (2018). Overview of strapdown inertial navigation system online calibration. Navigation. Guidance and Timing, 5(1), 12–16.Google Scholar
Shengli, W., Hepeng, L., Jichang, H., Zhenghu, Z. and Chunjing, Z. (2018). A precision centrifuge error analysis and accuracy evaluation method. Navigation and Control, 5(1), 100–105.Google Scholar
Shengnan, Z. (2019). Research on MEMS inertial measurement unit test and calibration method. M.S. thesis, North University of China, Taiyuan.Google Scholar
Shi-ming, W. and Shun-qing, R. (2013). The influence of centrifuge error on the calibration accuracy of gyro accelerometer K2 and K3. Nanotechnology and Precision Engineering, 11(2), 140–145.Google Scholar
Sun, C., Ren, S. Q. and Wang, C. H. (2019). Revised error calibration model of linear accelerometer on precision centrifuge. Review of Scientific Instruments, 90, 085002; pp. 1–10.CrossRefGoogle ScholarPubMed
The Institute of Electrical and Electronics Engineers (IEEE) (2009). IEEE Recommended Practice for Precision Centrifuge Testing of Linear Accelerometers[S]. USA: The Institute of Electrical and Electronics Engineers.Google Scholar
Xu, Y., Zhu, X. and Su, Y. (2014). A novel network calibration method for inertial measurement units. Proceedings of the Institution of Mechanical Engineers Part G Journal of Aerospace Engineering, 229(7), 1336–1348.CrossRefGoogle Scholar
Yang, L., Gong-liu, Y., Qing-zhong, C. and Li-fen, W. (2021) A New norm-observed calibration method based on improved differential evolution algorithm for SINS. Mathematical Problems in Engineering, 2021, 6684119.Google Scholar