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Graphical-Analytical Method for Optimal Synthesis of Pendulum Correction Contour of Vertical Gyros

https://doi.org/10.17586/0021-3454-2023-66-8-660-670

Abstract

A graphical-analytical method of optimal synthesis of pendulum (positional) correction contour for gyroscopic verticals on a movable base is presented, the model of the gyro is reduced to a complementary filter. The variance of the complementary filter error is used as an optimality criterion. Characteristics of the gyroscope drift in the form of white noise and zero instability are determined from the Allan variation, and the satellite errors are determined from the spectral power density of horizontal acceleration, determined with the account for assumed operating conditions. Determination of the optimal correction time constant and the maximum permissible gyroscope drift parameter at a given gyro accuracy, taking into account the moving object dynamics, is carried out using a specially formed graph with the axes "correction time constant — gyro drift parameter". The proposed method can be used for both analytical and power vertical gyros.

About the Authors

K. O. Lukin
A. N. Tupolev Kazan National Research Technical University
Russian Federation

Kirill O. Lukin — Post-Graduate Student; Department of Automation and Control

Kazan



S. V. Krivosheev
A. N. Tupolev Kazan National Research Technical University
Russian Federation

Sergey V. Krivosheev — PhD, Associate Professor; Department of Automation and Control

Kazan



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Review

For citations:


Lukin K.O., Krivosheev S.V. Graphical-Analytical Method for Optimal Synthesis of Pendulum Correction Contour of Vertical Gyros. Journal of Instrument Engineering. 2023;66(8):660-670. (In Russ.) https://doi.org/10.17586/0021-3454-2023-66-8-660-670

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ISSN 0021-3454 (Print)
ISSN 2500-0381 (Online)