Preview

Giroskopiya i Navigatsiya

Advanced search

Calibration Methodology for a Thermal Model of a 3-Axis Measurement Unit Based on Gyroscopes

https://doi.org/10.17285/0869-7035.0016

Abstract

The paper considers the methodological aspects of calibration of a 3-axis gyroscope unit on a two-axis calibration turntable with a thermal chamber. For the instrumental errors of angular rate sensor (ARS) measurements, an a priori parametric model is introduced, which includes bias, scale factor errors, small angles of sensitive axes nonorthogonality, as well as the coefficients of temperature variations for all the above measurement errors. The problem of parameters identification for the parametric model consists in the optimal estimation of the state vector of linear dynamic system, based on the vector of measurements linearly linked with the state vector. In such a statement, the vector of measurements is the vector of small turn between the simulated (calculated by the ARS readings) attitude of the unit and the simulated (calculated by the turntable measurements) attitude of the base plate. The proposed approach to the calibration problem formal characterization is a modification of the method of inertial measurement unit calibration, previously developed at the Lomonosov Moscow State University’s Laboratory of Control and Navigation. The method allows for assembled units calibration on low-grade one-axis turntables with horizontal axis of rotation. The calibration experiment is a sequence of horizontal rotations about each of the sensitive axes of ARS. The paper presents the results of numerical modeling and covariance analysis.

About the Author

I. E. Tarygin
Lomonosov Moscow State University, Moscow,
Russian Federation


References

1. Golovan, A.A., Parusnikov, N.A., Matematicheskie osnovy navigatsionnykh sistem. Chast’ 2. Prilozheniya metodov optimal’nogo otsenvaniya k zadacham navigatsii (Mathematical Fundamentals of Navigation Systems. Part 2. Application of Optimal Estimation Methods to Navigation Problems), Moscow: MAKS Press, 2012.

2. Veremeenko, K.K., Galai, I.A., Calibration algorithm development for inertial navigation system with the use of two-axis motion simulator, Proceedings of Moscow Aviation Institute (MAI), 2013, no. 63.

3. Dranitsyna, E.V., Egorov, D.A., Untilov, A.A., Deineka, G.B., Sharkov, I.A. and Deineka, I.G., Reducing the effect of temperature variations on FOG output signal, Gyroscopy and Navigation, 2013, no. 4, pp. 92–98.

4. Boronakhin, A.M., Ivanov, P.A. and Surov, I.L., The investigation of errors of MEMS-based gyro triad by means of small-sized two-axis rotary test table, Nano- i mikrosistemnaya tekhnika, 2010, no. 1, pp. 35–41.

5. Vavilova, N.B., Golovan, A.A., Parusnikov, N.A. and Vasnyova, I.A., Calibration of strapdown inertial navigation systems on high-precision turntables, Proc. 23rd St. Petersburg International Conference on Integrated Navigation Systems, St. Petersburg, 2016, pp. 52–55.

6. Diesel, J.W., Calibration of a ring laser gyro inertial navigation system, Proceedings of 13th Biennial Guidance Test Symposium, New mexico, 1987, vol. 1, pp. SO1A.1–SO1A.37.

7. Berman, Z., Inertial sensors – A new approach for low cost calibration and testing, Inertial Sensors and Systems, 2011, pp. 8.1–8.19.

8. Syed, Z.F., Aggarwal, P., Goodall, C., Niu, X. and El-Sheimy, N., A new multi-position calibration method for MEMS inertial navigation systems, Measurement Science and Technology, 2007, vol. 18, no. 7, pp.1897–1907.

9. Zhang, H., Wu, Y., Wu, W., Wu, M., Hu, X., Improved multi-position calibration for inertial measurement units, Measurement Science and Technology, 2009, vol. 21, no. 1, p. 015107.

10. Kozlov, A.V., Tarygin, I.E., Golovan, A.A., Shaimardanov, I.Kh. and Dzuev, A.A., Calibration of an Inertial Measurement Unit at Changing Temperature with Simultaneous Estimation of Temperature Variation Coefficients: a Case Study on BINS-RT, Proc. 24th St. Petersburg International Conference on Integrated Navigation Systems, 2017, pp. 225–228.

11. Kozlov, A.V., Tarygin, I.E. and Golovan, A.A., Calibration of inertial measurement units on a lowgrade turntable with simultaneous estimation of temperature coefficients, Proc. 21st St. Petersburg International Conference on Integrated Navigation Systems, 2014, pp. 319–322.

12. Tang, Q., Wang, X., Yang, Q. and Liu, C., An improved scale factor calibration model of MEMS gyroscopes, Proc. 2014 IEEE International Instrumentation and Measurement Technology Conference (I2MTC), Montevideo, 2014, pp. 752–755.

13. Parolis, D.M., Pinter-Krainer, W., Current and future techniques for spacecraft thermal control, ESA Bulletin, 1996, no. 87.

14. Gilmore, D., Spacecraft Thermal Control Handbook, Volume I: Fundamental Technologies, Calif. Aerospace Press, 2002.

15. Niu, X., Li, Y., Zhang, H., Wang, Q., Ban, Y., Fast thermal calibration of low-grade inertial sensors and inertial measurement units, Sensors, 2013, vol. 13, no. 9, pp. 12192–12217.

16. Prikhod’ko, I.P., Zotov, S.A., Trusov, A.A. and Shkel, A.M., Thermal calibration of silicon MEMS gyroscope, Proc. 8th International Conference and Exhibition on Device Packaging, 2012.


Review

For citations:


Tarygin I.E. Calibration Methodology for a Thermal Model of a 3-Axis Measurement Unit Based on Gyroscopes. Giroskopiya i Navigatsiya. 2019;27(4):88-102. (In Russ.) https://doi.org/10.17285/0869-7035.0016

Views: 1


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 0869-7035 (Print)
ISSN 2075-0927 (Online)