A Vibratory Gyroscope Scale Factor and Bias on-Run Self-calibration

Authors

DOI:

https://doi.org/10.18372/1990-5548.69.16423

Keywords:

scale factor, drift, virtual angle rate, self-calibration, requirements mitigation coefficient

Abstract

А new method for on-run periodic scale factor and bias self-calibration of vibratory gyroscopes in an inertial measurement unit with a redundant number of sensors is proposed. Self-calibration uses predefined virtual positive and negative angle rates to calibrate the SF, and the bias of the gyroscope that is in calibration mode, while the others, at least three gyroscopes of an inertial measurement unit, whose sensitivity axes do not lie in the same plane, operate in the measurement mode to measure the real angle rate of a vehicle. The projection of the current angle rate onto the sensitivity axis of the gyroscope being calibrated is computed from the results of measuring the full angle rate vector by the other three gyroscopes, creating conditions for the calibration procedure. In contrast to known methods, such as single-axis or multi-axis rotation of an inertial measurement unit and vibration modes reversal, the proposed method does not use mechanical rotation, which requires additional devices, and does not require a reorientation of the vibrating wave, which entails the need to align the parameters of the two measuring channels. The scale factor and bias calibration procedure using this method is the same for any gyroscope of an inertial measurement unit and can be applied to several gyroscopes at the same time. Therefore, the proposed method has great potential for an application not only for small-sized 4-gyro inertial measurement unit based on vibratory gyroscopes but also for multi-gyro inertial measurement unit based on micro-electro-mechanical gyroscopes. Experimentally shown that using the proposed method a gyro requirements mitigation coefficient can be substantially increased and can provide high accuracy for autonomous navigation systems based on low-cost, small-sized, and micro-electro-mechanical gyroscopes.

Author Biographies

Valeri Chikovani, National Aviation University

Aerospace Control Systems Department

Faculty of Air Navigation Electronics and Telecommunications

Doctor of Engineering Sciences. Professor

Serhii Golovach , JSC Elmiz Kyiv

Candidate of Engineering Sciences

Chief designer of gyroscopic and navigation systems

References

D. Titterton and J. Weston, “Strapdown Inertial Navigation Technology,” The American Institute of Aeronautics and Astronautics, second edition, 2004. https://doi.org/10.1049/PBRA017E

Oliver J. Woodman, “An introduction to inertial navigation,” Technical Report, N. 696, UCAM-CL-TR-696, ISSN 1476-2986, UK, University of Cambridge, August, 2007, p. 37.

S. Nassar, “Improving the Inertial Navigation System (INS) Error Model for INS and INS/DGPS Applications,” Ph.D. Thesis, University of Calgary, Calgary, AB, Canada, 2003.

Q. Honghui and J. B. Moore, “Direct Kalman filtering approach for GPS/INS integration,” IEEE Transactions on Aerospace and Electronic Systems, vol. 38, Issue: 2, Apr, 2002, pp. 687–693. https://doi.org/10.1109/TAES.2002.1008998

B. Johan and S. Willem, “Kalman filter configurations for a low-cost loosely integrated inertial navigation system on an airship,” Control Engineering Practice, vol. 16, Issue 12, Dec, 2008, pp. 1509–1518. https://doi.org/10.1016/j.conengprac.2008.04.011

A. Noureldin, T. B. Karamat, M. D. Eberts, and A. El-Shafie, “Performance Enhancement of MEMS-Based INS/GPS Integration for Low-Cost Navigation Applications,” IEEE Transactions on Vehicular Technology, vol. 58, Issue 3, March, 2009, pp. 1077–1096. https://doi.org/10.1109/TVT.2008.926076

V. V. Chikovani, “Laser device for three-axis orientation measurement with low sensitivity to gyro errors (computer simulation results),” Proc. SPIE Optical Engineering, vol. 34, no. 4, 1995, pp. 1008–1012. https://doi.org/10.1117/12.197150

J. Ban, L. Wang, Z. Liu, and L. Zha, “Self-calibration method for temperature errors in multi-axis rotational inertial navigation system,” Optics Express, vol. 28, no. 6/16, March, 2020, pp. 8909–8922. https://doi.org/10.1364/OE.384905

Q. Ren, B. Wang, Z., and M. Fu, “A multi-position self-calibration method Deng for dual-axis rotational inertial navigation system,” Sensors and Actuators A, 219, 2014, pp. 24–31. https://doi.org/10.1016/j.sna.2014.08.011

P. Gao, K. Li, L. Wang, and Z. Liu, “A self-calibration method for tri-axis rotational inertial navigation system,” Measurement Science and Technology, vol. 27, Oct., no. 11, 2016. https://doi.org/10.1088/0957-0233/27/11/115009

D. М. Rozelle, “Self-calibrating gyroscope system,” US Patent # 7912664, G01C 19/00, 22 March, 2011.

G. Casinovi, F. Ayazi, W. K. Sung, M. J. Dalal, A. N. P. Shirazi, “Method and apparatus for self-calibration of gyroscopes,” US Patent #9915532, G01C 25/00, 19/5776, 19/56, 13 March, 2018.

H. Gu, B. Zhao, H. Zhou, X. Liu, and W. Su, “MEMS Gyroscope Bias Drift Self-Calibration Based on Noise-Suppressed Mode Reversal,” Micromachines, 10, 823, 2019, pp. 1–17; https://doi.org/10.3390/mi10120823.

V. V. Chikovani and O. V. Petrenko, “Vibratory gyroscope scale factor multi-parametric calibration,” IEEE Proc. Intern. Conf. on Methods and Systems of Navigation and Motion Control (MSNMC), NAU, Kyiv, Ukraine, Oct.14-17, 2014, pp. 129–131. https://doi.org/10.1109/MSNMC.2014.6979750

V. Chikovani, H. Tsiruk, and O. Korolova, “Triple-Mode Vibratory Gyroscope,” Military Technical Collection, Hetman Petro Sahaidachnyi National Army Academy, Lviv, Ukraine, no. 18, 2018, pp. 18–24. https://doi.org/10.33577/2312-4458.18.2018.18-25

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Published

2021-12-21

Issue

Vol. 3 No. 69 (2021)

Section

COMPUTER ENGINEERING

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