A multiple regression based method for indirect compensation of hemispherical resonator gyro temperature error.

Area of Science:

• Instrumentation and Measurement
• Mechanical Engineering
• Control Systems

Background:

• Hemispherical Resonator Gyros (HRGs) are susceptible to temperature variations, impacting measurement accuracy.
• Existing methods face challenges when internal gyro temperature is unmeasurable and external temperature is unavailable.
• Temperature-induced errors are a significant limitation in HRG performance.

Purpose of the Study:

• To develop and validate a novel method for compensating temperature errors in HRGs under variable temperature conditions.
• To address the challenge of unmeasurable internal temperature by indirect compensation.
• To improve the overall measuring accuracy and stability of HRGs.

Main Methods:

• Theoretical analysis of the relationship between internal temperature and resonant frequency.
• Derivation of a linear relationship using the least squares method from constant temperature experiments.
• Development of a multiple regression model using resonant frequency as the independent variable for error compensation.
• Validation through temperature-rising and temperature-dropping experiments.

Main Results:

• A strong correlation was found between gyro output and internal temperature, significantly higher than with external temperature.
• The developed multiple regression model effectively compensated for temperature-induced errors.
• Post-compensation, gyro output stability improved significantly in dynamic temperature environments.
• Gyro drift decreased by up to 62.76%, achieving accuracy comparable to constant temperature conditions.

Conclusions:

• The proposed multiple regression method provides an effective and feasible approach for indirect temperature error compensation in HRGs.
• This method significantly enhances the measuring accuracy and stability of HRGs under variable temperatures.
• The findings demonstrate the practical applicability of the developed model for improving gyro performance.