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A Comprehensive Error Modeling and On-Field Calibration Method for HRG SINS by Tumbling the Hexahedron
Yuanxi Li1, Zhennan Wei1, Shunqing Ren1
1Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150080, China.
Sensors (Basel, Switzerland)
|December 31, 2025
Summary
This study introduces a new model to calibrate Strapdown Inertial Navigation Systems (SINS) by accounting for hexahedron structure errors. The method enhances calibration accuracy for accelerometers and hemispherical resonator gyroscopes (HRGs), reducing costs.
Area of Science:
- Inertial Navigation Systems
- Sensor Calibration
- Mechanical Engineering
Background:
- On-field calibration of Strapdown Inertial Navigation Systems (SINS) typically employs a hexahedron, but structural errors are often overlooked.
- These errors, including tolerances in parallelism and perpendicularity of hexahedron planes, can impact calibration accuracy.
Purpose of the Study:
- To develop a hexahedron structure error model and a comprehensive SINS calibration error model for hemispherical resonator gyroscopes (HRGs).
- To improve the accuracy and reduce the cost of SINS on-field calibration by accounting for structural imperfections.
Main Methods:
- A hexahedron structure error model is developed by defining normal vectors of exterior surfaces.
- A 24-position calibration scheme identifies accelerometer errors, and a 48-rotation scheme identifies gyro errors.
- Simultaneous identification of structure errors, installation misalignments, scale factor errors, and biases is enabled.
Main Results:
- Experimental validation using a simulated hexahedron structure errors on a three-axis turntable.
- Significant improvement in calibration accuracy for both accelerometers and HRGs compared to traditional methods.
- Reduced accuracy requirements for the hexahedron structure, leading to lower SINS on-field calibration costs.
Conclusions:
- The proposed method effectively models and compensates for hexahedron structure errors in SINS calibration.
- This approach enhances the precision of inertial navigation systems while making calibration more economical.
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