Recurrent Implementation of Integral Magnetometer Calibration Algorithm Using the Measurements of a Three-Axis Gyro
https://doi.org/10.17285/0869-7035.0002
Abstract
The paper addresses the practical implementation of a calibration algorithm for a magnetometer integrated in an electronic device, using synchronous measurements of a gyroscope. Recurrent expressions have been derived for accumulating the intermediate matrices, due to which there is no need for accumulating the full set of primary measurements of vector gauges. An algorithm has been formulated for determining the time point when accumulation stops and calculation of calibrated parameters starts.
References
1. Vasilyuk, N.N., Calibration of integral magnetometer linear model coefficients using simultaneous measurements of a three-axis gyro, Gyroscopy and Navigation, 2019, vol. 10, no. 2, pp. 99–110.
2. Vasilyuk, N.N., Doronin, A.V., Tychinskii, S.I. and Klimenkov, A.V, Patent application No. WO2017135836, A method and device for calibration of a three-axis magnetometer, 2017.
3. Foster, C.C. and Elkaim, G.H., Extension of a two-step calibration methodology to include nonorthogonal sensor axes, IEEE Transactions on Aerospace and Electronic Systems, 2008, vol. 44, no. 3, pp. 1070–1078.
4. Cui, X., Li, Y., Wang, Q., Zang, M. and Li, J., Three-axis magnetometer calibration based on optimal ellipsoidal fitting under constraint condition for pedestrian positioning system using foot-mounted inertial sensor/magnetometer, 2018 IEEE/ION Position, Location and Navigation Symposium (PLANS), Monterey, CA, 2018, pp. 166–174.
5. Vasconcelos, J.F., Elkaim, G., Silvestre, C., Oliveira, P. and Cardeira, B., Geometric approach to strapdown magnetometer calibration in sensor frame, IEEE Transactions on Aerospace and Electronic Systems, 2001, vol. 47, no. 2, pp. 1293–1306.
6. Yang, D., You, Z, Li, B, Duan, W. and Yuan, B., Complete tri-axis magnetometer calibration with a gyro auxiliary, Sensors, 2017, vol. 17, no. 6. DOI: 10.3390/s17061223.
7. Ding, Z., Cai, H., Yu, C. and Zhang, W., Novel low cost calibration methods for MEMS inertial/magnetic integrated sensors, Proceedings of 2014 IEEE Chinese Guidance, Navigation and Control Conference, Yantai, 2014, pp. 505–511.
8. Zhu, M., Zhu, Y. and Yu, W., An efficient method for gyroscope-aided full magnetometer calibration, Sensors, 2019, vol. 19, no. 15, pp. 6355–6361.
9. Wu, Y. and Luo, S., On misalignment between magnetometer and inertial sensors, Sensors, 2016, vol. 16, no. 16, pp. 6288–6297.
10. Fedele, G., D’Alfonso, L. and D’Aquila, G., Magnetometer bias finite-time estimation using gyroscope data, IEEE Transactions on Aerospace and Electronic Systems, 2018, vol. 54, no. 6, pp. 2926–2936.
11. Ousaloo, H.S., Sharifi, G., Mahdian, J. and Nodeh, M.T., Complete calibration of three-axis strapdown magnetometer in mounting frame, Sensors, 2017, vol. 17, no. 23, pp. 7886–7893.
12. Zhang, Z., Two-step calibration methods for miniature inertial and magnetic sensor units, IEEE Transactions on Industrial Electronics, 2015, vol. 62, no. 6, pp. 3714–3723.
13. Han, K., Han, H., Wang, Z. and Xu, F., Extended Kalman filter-based gyroscope-aided magnetometer calibration for consumer electronic devices, Sensors, 2017, vol. 17, no. 1, pp. 63–71.
14. Wu, Y., Zou, D., Liu, P. and Yu, W., Dynamic magnetometer calibration and alignment to inertial sensors by Kalman filtering, IEEE Transactions on Control Systems Technology, vol. 26, no. 2, pp. 716–723.
15. Beklemishev, D.V., Kurs analiticheskoi geometrii i lineinoi agebry (Course of Analytical Geometry and Linear Algebra), textbook for higher educational institutions, Moscow: Fizikomatematicheskaya literatura, 2001.
16. Press, W.H., Teukolsky, S.A., Vetterling, W.T. and Flannery, B.P., Numerical Recipes in C. The Art of Scientific Computing, 2nd ed., New York: Cambridge University Press, 2002.
17. Huang, T.S., Eklund, J.-O., Nussbaumer, G.J. et al., Fast Algorithms in Digital Image Processing. Transformations and Median Filters, Moscow: Radio i svyaz’, 1984.
18. MPU-9150 Nine-Axis (Gyro + Accelerometer + Compass) MEMS MotionTracking (NV) Device. https://www.invensense.com/products/motion-tracking/9-axis/mpu-9150/. Accessed February 15, 2019.
19. LSM303AGR e-Compass with 3D digital linear acceleration sensor, 3D digital magnetic sensor. https://www.st.com/en/mems-and-sensors/lsm303agr.html. Accessed February 15, 2019.
20. Ermakov, S.M. and Mikhailov, G.A., Statisticheskoe modelirovanie (Statistical Modeling), 2nd Ed., additional, Moscow: Nauka, 1982.
Review
For citations:
Vasilyuk N.N. Recurrent Implementation of Integral Magnetometer Calibration Algorithm Using the Measurements of a Three-Axis Gyro. Giroskopiya i Navigatsiya. 2019;27(3):87-102. (In Russ.) https://doi.org/10.17285/0869-7035.0002
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