Measurement Techniques

, Volume 50, Issue 4, pp 397–402 | Cite as

A mathematical model of a crystal oscillator and clock in the form of an augmented system of state equations

  • A. V. Nikitin
Time and Frequency Measurements
Received:
  • 37 Downloads

Abstract

An analysis of a mathematical model of a crystal oscillator and clock and disturbances in the form of an augmented system of state equations is performed. By means of such a model, it is possible to synthesize an optimal frequency-time stabilization system for the GLONASS/GPS synchronizing reference receiver.

Key words

crystal oscillator mathematical model frequency-time stabilization system 
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References

  1. 1.
    R. Isserman, Digital Control System [Russian translation], Mir, Moscow (1984).Google Scholar
  2. 2.
    V. N. Antonov, V. A. Terekhov, and I. Yu. Tyukin, Adaptive Control in Engineering Systems. A Textbook [in Russian], Izd-vo St. Pet. Un-ta, St. Petersburg, 2001.Google Scholar
  3. 3.
    L. N. Shchelovanov, G. S. Antonova, and E. M. Doronin, Foundations of Automatic Control Theory [in Russian], [in Russian], Izd-vo St. Pet. Un-ta, St. Petersburg, 1997.Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • A. V. Nikitin
    • 1
  1. 1.Russian Institute of Radionavigation and TimeRussia

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