Skip to main content
Log in

Calibration of an Inertial Measurement Unit

  • Published:
International Applied Mechanics Aims and scope

A new method for the calibration of inertial measurement units of strapdown inertial technology is proposed. Such a unit consists of accelerometers, gyroscopes, and a signal processing system. The method of test turns and rotations on a rotary table is used to calibrate the inertial measurement unit. The new method involves measurement of the full angle of turn or final rotation. In fact, it is proposed to turn the inertial measurement unit around the axis of final rotation. To solve the calibration equation, it is necessary to make the rank of the matrix of the calibration equation equal to its order. The results of modeling data demonstrate the efficiency of the new calibration method

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. V. Avrutov, “Scalar calibration of gyroscope and accelerometer units,” Visnyk NTUU “KP 2,” Ser. Pryladobuduv., 40, 10–17 (2010).

  2. Ya. S. Bugrov and S. M. Nikol’skii, Higher Mathematics. Elements of Linear Algebra and Analytic Geometry [in Russian], Nauka, Moscow (1984).

  3. S. V. Golovach, “Experimental study of the characteristics of a laser gyroscope,” Visnyk NTUU “KP 2,” Ser. Pryladobuduv., 40, 33–38 (2014).

  4. E. A. Izmailov, S. N. Lepe, A. V. Molchanov, and E. F. Polikovskii, “Scalar calibration and balancing method for strapdown inertial navigation systems,” in: Proc. 15th Int. Conf. on Integrated Navigation Systems [in Russian], GNTs RF TsNII Elektropribor, Saint Petersburg (2008), pp. 145–154.

  5. V. B. Larin and A. A. Tunik, “On inertial-navigation system without angular-rate sensors,” Int. Appl. Mech., 49, No. 4, 488–499 (2013).

    Article  ADS  Google Scholar 

  6. V. V. Meleshko and O. I. Nesterenko, Strapdown Inertial Navigation Systems [in Russian], Polimed-Servis, Kirovograd (2011).

    Google Scholar 

  7. O. A. Stepanov, I. B. Chelpanov, and A. V. Motorin, “Accuracy of estimating the constant component of the errosr of sensors and its relation to the Allan variance,” in: Proc. 22nd Int. Conf. on Integrated Navigation Systems [in Russian], GNTs RF TsNII Elektropribor, Saint Petersburg (2015), pp. 485–491.

  8. G. Artese and A. Trecroci, “Calibration of a low costMEMSINS sensor for an integrated navigation system,” in: The Int. Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, XXXVII, Part B5, Beijing (2008), pp. 877–882.

  9. V. Avrutov, S. Golovach, and T. Mazepa, “On scalar calibration of an inertial measurement unit,” in: Proc. 19th St. Petersburg Int. Conf. on Integrated Navigation Systems, State Research Center (CSRI) Elektropribor, St. Petersburg, Russia (2012), pp. 117–121.

  10. V. Avrutov, “Scalar diagnostics of the inertial measurement unit,” I. J. Intelligent Systems and Applications, 11, 1–9 (2015).

    Google Scholar 

  11. A. El-Rabbany and M. El-Diasty, “An efficient neural modal for denoising of MEMS-based inertial data,” The J. of Navigation, 57, 407–415 (2004).

    Article  ADS  Google Scholar 

  12. J. Gaysse, “A low cost absolute position calculation system,” in: Proc. SICE-ICASE Int. Joint Conf., Korea, Busan (2006), pp. 5658–5661.

  13. M. S. Grewal, V. D. Henderson, and R. S. Miysako, “Application of Kalman filtering to the calibration and alignment of inertial navigation systems,” IEEE Trans. on Automatic Control, 36, 3–13 (1991).

    Article  MathSciNet  Google Scholar 

  14. C. Hide, T. Moore, and M. Smith, “Adaptive Kalman filtering for low-cost INS/GPS,” The J. of Navigation, 56, 143–152 (2003).

    Article  ADS  Google Scholar 

  15. A. Lawrence, Modern Inertial Technology. Navigation, Guidance and Control, Springer-Verlag, New York (1993).

  16. E. Nebot and H. Durrant-Whyte, “Initial calibration and alignment of low cost inertial navigation units for land vehicle applications,” J. of Robotics Systems, 16, No. 2, 81–92 (1999).

    Article  MATH  Google Scholar 

  17. N. Nikbakht, M. Mazlom, and A. Kshayatian, “Evaluation of solid-state accelerometer for positioning of vehicle,” in: Proc. IEEE Int. Conf. on Industrial Technology, Hong Kong (2005), pp. 729–733.

  18. G. Pang and H. Liu, “Evaluation of a low-costMEMSaccelerometer for distance measurement,” The J. of Intelligent and Robotic Systems, 30, 249–265 (2001).

    Article  MATH  Google Scholar 

  19. S. C. Shen, C. J. Chen, and H. J. Huang, “A new calibration method for low cost MEMS inertial sensor module,” J. of Marine Science and Technology, 18, No. 6, 819–824 (2010).

    Google Scholar 

  20. D. H. Titterton and J. L. Weston, “Strapdown inertial navigation technology,” IEE Radar, Sonar, Navigation and vionics, Ser. 17, 558 (2004).

  21. H. Wang and W. Tian, “Modeling the random drift of micro-machined gyroscope with neural network,” Neural Processing Letters, 22, 235–247 (2005).

    Article  Google Scholar 

  22. W. Wrigley, W. Hollister, and W. Denhard, Gyroscopic Theory, Design and Instrumentation, MIT Press, Cambridge (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. V. Avrutov.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 53, No. 2, pp. 135–144, March–April, 2017.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Avrutov, V.V., Sapegin, A.N., Stefanishin, Z.S. et al. Calibration of an Inertial Measurement Unit. Int Appl Mech 53, 228–236 (2017). https://doi.org/10.1007/s10778-017-0808-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10778-017-0808-4

Keywords

Navigation