Skip to main content

Error Characteristics of Inertial Systems from the Viewpoint of Oscillation Theory

  • Conference paper
High Precision Navigation

Summary

The error behaviour of inertial systems is usually described using first and second order differential equations. These can be interpreted in the framework of oscillation theory. For unaided inertial systems these oscillations are determined by the response to initial conditions and to sensor errors. For aided systems they are strongly influenced by update measurements which are used as a state feedback. The effect of this feedback is discussed using a numerical example.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Britting, K.R. Inertial Navigation Systems Analysis. Wiley-Interscience, New York, 1971.

    Google Scholar 

  • Chen, C.T. Introduction to Linear System Theory. Holt, Rinehart and Winston Inc., New York, 1970.

    Google Scholar 

  • Magnus, K. Schwingungen. Teubner, Stuttgart, 1976.

    Google Scholar 

  • Natke, H.G. Einführung in die Theorie und Praxis der Zeitreihen — und Modalanalyse. Vieweg, Braunschweig, 1983.

    Google Scholar 

  • Schmidt, G.T. Strapdown Inertial System — Theory and Applications. AGARD Lecture Series No. 95, 1978.

    Google Scholar 

  • Schuler, M. Die Störung vou Pendel — und Kreiselapparaten durch die Beschleunigung des Fahrzeugs. Physikalische Zeitschrift. 24, 344–350, 1923.

    Google Scholar 

  • Schwarz, K.P. The Error Model of Inertial Geodesy — A Study in Dynamic System Analysis. Lecture Notes. Fourth Int. Summer School, Admont, Austria; Springer-Verlag, Heidelberg, 1986.

    Google Scholar 

  • Vassiliou, A.A. and Schwarz, K.P. Eigenvalues for the Dynamics Matrix used in Inertial Geodesy. Manuscripta Geodaetica. 10, 3, 213–221, 1985.

    Google Scholar 

  • Wong, R.V.C. A Kaiman Filter-Smoother for an Inertial Survey System of Local Level Type. The University of Calgary, Publication No. 20001, 1982.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Knickmeyer, E., Schwarz, KP. (1989). Error Characteristics of Inertial Systems from the Viewpoint of Oscillation Theory. In: Linkwitz, K., Hangleiter, U. (eds) High Precision Navigation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-74585-0_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-74585-0_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-74587-4

  • Online ISBN: 978-3-642-74585-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics