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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Britting, K.R. Inertial Navigation Systems Analysis. Wiley-Interscience, New York, 1971.
Chen, C.T. Introduction to Linear System Theory. Holt, Rinehart and Winston Inc., New York, 1970.
Magnus, K. Schwingungen. Teubner, Stuttgart, 1976.
Natke, H.G. Einführung in die Theorie und Praxis der Zeitreihen — und Modalanalyse. Vieweg, Braunschweig, 1983.
Schmidt, G.T. Strapdown Inertial System — Theory and Applications. AGARD Lecture Series No. 95, 1978.
Schuler, M. Die Störung vou Pendel — und Kreiselapparaten durch die Beschleunigung des Fahrzeugs. Physikalische Zeitschrift. 24, 344–350, 1923.
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.
Vassiliou, A.A. and Schwarz, K.P. Eigenvalues for the Dynamics Matrix used in Inertial Geodesy. Manuscripta Geodaetica. 10, 3, 213–221, 1985.
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.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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