Skip to main content
SpringerLink
Log in

Processing the results of SINS bench tests by methods of nonsmooth optimization in the presence of faults

  • Published:
Gyroscopy and Navigation Aims and scope Submit manuscript

Abstract

A new approach to detecting jumps in biases of angular rate sensors in strapdown inertial navigation systems (SINS) is proposed. It is based on the method of least absolute deviations for dynamic systems, which provides for determining instants and magnitudes of jumps with a desired accuracy.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Akimov, P.A. and Matasov, A.I., Levels of Nonoptimality of the Weiszfeld Algorithm in the Least Absolute Deviation Method, Avtomatika i Telemekhanika, 2010, no. 2, pp. 4–16.

  2. Akimov, P.A. and Matasov, A.I., Estimation of Zero Biases in Inertial Sensors of SINS’s by l 1-approximation, Avtomatika i Telemekhanika, 2011, no. 2, pp. 9–24.

  3. Bolotin, Yu.V., Golikov, V.P., Larionov, S.V., and Trebukhov, A.V. Calibration Algorithms of a Platform Inertial Navigation System, Giroskopiya Navigatsiya, 2008, no. 3, pp. 13–26.

  4. Golovan, A.A. and Parusnikov, N.A., Matematicheskie osnovy navigatsionnykh sistem (Mathematical Foundations of Navigation Systems), Part I. Matematicheskie modeli inertsial’noy navigatsii (Mathematical Models of Inertial Navigation), Moscow: MGU, 2010.

    Google Scholar 

  5. Dmitriev, S.P. and Stepanov, O.A., Multialternative Filtering in the Problems of Navigation Information Processing, Radiotekhnika, 2004, no. 7, pp. 23–28.

  6. Koshaev, D.A. Multialternative Method for Detecting and Estimating Faults Based on Application of the Extended Kalman Filter, Avtomatika i Telemekhanika, 2010, no. 5, pp. 70–83.

  7. Lawson, Ch. and Hanson, R., Solving least squares problems, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1974.

    MATH  Google Scholar 

  8. Mudrov, V.I. and Kushko, V.L., Metody obrabotki izmereniy: kvazipravdopodobnye otsenki (Methods of Measurement Processing: Quasi-likelihood Estimation), Moscow: Radio i Svyaz’, 1983.

    Google Scholar 

  9. Parusnikov, N.A., Morozov, V.M., and Borzov, V.I., Zadacha korrektsii v inertsial’noy navigatsii (Correction Problems of Inertial Navigation), Moscow: MGU, 1982.

    Google Scholar 

  10. Bloomfield, P., and Steiger, W.L., Least Absolute Deviations: Theory, Applications, and Algorithms, Boston-Basel-Stuttgart: Birkhauser, 1983.

    Google Scholar 

  11. Boyd, S., Vandenberghe, L., Convex Optimization, Cambridge University Press, 2004.

  12. Kailath, T., Sayed, A.H., and Hassibi, B., Linear Estimation, New Jersey, Prentice Hall, 2000.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    P. A. Akimov & A. I. Matasov

Authors
  1. P. A. Akimov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. I. Matasov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Akimov, P.A., Matasov, A.I. Processing the results of SINS bench tests by methods of nonsmooth optimization in the presence of faults. Gyroscopy Navig. 3, 91–99 (2012). https://doi.org/10.1134/S2075108712020022

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S2075108712020022

Keywords

Search

Navigation