Identification and correction of phase delay errors for hemispherical resonator gyroscopes

Abstract The phase-delay error of the circuit system is the primary source of the output error observed in the hemispherical resonator gyroscope (HRG). Additionally, the temperature-dependent nature of the phase-delay error results in a deterioration of the initial calibration parameters, which, in...

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Main Authors: Youhuan Ning, Changhong Wang, Boqi Xi, Zhen Tian, Boda Zhang
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-86288-1
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author Youhuan Ning
Changhong Wang
Boqi Xi
Zhen Tian
Boda Zhang
author_facet Youhuan Ning
Changhong Wang
Boqi Xi
Zhen Tian
Boda Zhang
author_sort Youhuan Ning
collection DOAJ
description Abstract The phase-delay error of the circuit system is the primary source of the output error observed in the hemispherical resonator gyroscope (HRG). Additionally, the temperature-dependent nature of the phase-delay error results in a deterioration of the initial calibration parameters, which, in turn, significantly impairs the performance of the gyroscope in its intended application. This paper proposes a self-calibration method to effectively suppress the impact of phase-delay error on the application performance of gyroscopes. Firstly, based on the analysis of the influence of phase-delay error on the performance of the whole-angle mode HRG, a sinusoidal interference signal with a small amplitude is introduced into the quadrature control loop of the gyroscope. Then, the angular rate signal is demodulated and calculated to obtain the phase-delay error of the system, which is employed as the compensation value of the reference phase of the PLL to offset the phase-delay error of the circuit system in real-time. The experimental results demonstrate that after the phase-delay error is self-calibrated, the zero-bias output error of the gyroscope is reduced by 5 times, the bias instability is improved by 37.7%, and the self-calibration method of the phase-delay error presented is more strongly robust to temperature changes.
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spelling doaj-art-54266fde8c294ad093d6debd96ccf2d72025-01-19T12:19:25ZengNature PortfolioScientific Reports2045-23222025-01-0115111610.1038/s41598-025-86288-1Identification and correction of phase delay errors for hemispherical resonator gyroscopesYouhuan Ning0Changhong Wang1Boqi Xi2Zhen Tian3Boda Zhang4Space Control and Inertial Technology Research Center, Harbin Institute of TechnologySpace Control and Inertial Technology Research Center, Harbin Institute of TechnologySpace Control and Inertial Technology Research Center, Harbin Institute of TechnologySpace Control and Inertial Technology Research Center, Harbin Institute of TechnologySpace Control and Inertial Technology Research Center, Harbin Institute of TechnologyAbstract The phase-delay error of the circuit system is the primary source of the output error observed in the hemispherical resonator gyroscope (HRG). Additionally, the temperature-dependent nature of the phase-delay error results in a deterioration of the initial calibration parameters, which, in turn, significantly impairs the performance of the gyroscope in its intended application. This paper proposes a self-calibration method to effectively suppress the impact of phase-delay error on the application performance of gyroscopes. Firstly, based on the analysis of the influence of phase-delay error on the performance of the whole-angle mode HRG, a sinusoidal interference signal with a small amplitude is introduced into the quadrature control loop of the gyroscope. Then, the angular rate signal is demodulated and calculated to obtain the phase-delay error of the system, which is employed as the compensation value of the reference phase of the PLL to offset the phase-delay error of the circuit system in real-time. The experimental results demonstrate that after the phase-delay error is self-calibrated, the zero-bias output error of the gyroscope is reduced by 5 times, the bias instability is improved by 37.7%, and the self-calibration method of the phase-delay error presented is more strongly robust to temperature changes.https://doi.org/10.1038/s41598-025-86288-1Hemispherical resonator gyroscopesPhase-delay errorSelf-calibrationTemperature driftParameter identification
spellingShingle Youhuan Ning
Changhong Wang
Boqi Xi
Zhen Tian
Boda Zhang
Identification and correction of phase delay errors for hemispherical resonator gyroscopes
Scientific Reports
Hemispherical resonator gyroscopes
Phase-delay error
Self-calibration
Temperature drift
Parameter identification
title Identification and correction of phase delay errors for hemispherical resonator gyroscopes
title_full Identification and correction of phase delay errors for hemispherical resonator gyroscopes
title_fullStr Identification and correction of phase delay errors for hemispherical resonator gyroscopes
title_full_unstemmed Identification and correction of phase delay errors for hemispherical resonator gyroscopes
title_short Identification and correction of phase delay errors for hemispherical resonator gyroscopes
title_sort identification and correction of phase delay errors for hemispherical resonator gyroscopes
topic Hemispherical resonator gyroscopes
Phase-delay error
Self-calibration
Temperature drift
Parameter identification
url https://doi.org/10.1038/s41598-025-86288-1
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