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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2023 Issue 7, Pages 41–65 (Mi at16071)

Control in Technical Systems

The guaranteeing estimation method to calibrate a gyro unit

P. A. Akimov, A. I. Matasov

Moscow State University, Faculty of Mechanics and Mathematics, Laboratory of Control and Navigation, Moscow, Russia

Abstract: This paper is devoted to the guaranteeing estimation method with application to the calibration problem of a gyro unit. Mathematical models are constructed to describe the kinematics of the gyro unit on a test bench. The applicability limits and errors of the models are investigated. A numerical solution procedure is developed for guaranteeing estimation problems based on their reduction to $l_1$-approximation problems.

Keywords: the guaranteeing approach to estimation, convex optimization, gyro unit, calibration, Python.

Presented by the member of Editorial Board: O. A. Stepanov

Received: 07.11.2022
Revised: 14.03.2023
Accepted: 30.03.2023

DOI: 10.31857/S0005231023070036


 English version:
Automation and Remote Control, 2023, 84:7, 791–809


© Steklov Math. Inst. of RAS, 2025