Reference for citation: Lukin K. O., Krivosheev S. V. Graphical-analytical method for optimal synthesis of pendulum correction contour of vertical gyros. Journal of Instrument Engineering. 2023. Vol. 66, N 8. P. 660—670 (in Russian). DOI: 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.

Keywords: complexing, complementary filter, vertical gyro, pendulum correction, optimal synthesis, gyro, pendulum sensitive element, accelerometer

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