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Application of Improved 5th-Cubature Kalman Filter in Initial Strapdown Inertial Navigation System Alignment for
1Key Laboratory of Micro-Inertial Instrument and Advanced Navigation Technology, Ministry of Education, School of Instrument Science and Engineering, Southeast University, Nanjing 210096, China. 230159566@seu.edu.cn.
An improved fifth-degree Cubature Kalman Filter (CKF) enhances initial alignment accuracy, especially under large misalignment angles. This novel algorithm utilizes recursive innovation covariance calculation and adaptive scaling for superior performance compared to traditional methods.
Area of Science:
- Navigation Systems
- Estimation Theory
Background:
- The third-degree Cubature Kalman Filter (CKF) exhibits insufficient accuracy for initial alignment under large misalignment angles.
- Accurate initial alignment is critical for the performance of navigation systems.
Purpose of the Study:
- To propose an improved fifth-degree CKF algorithm for enhanced initial alignment accuracy.
- To address the limitations of existing CKF methods in scenarios with significant misalignment.
Main Methods:
- Recursive calculation of the innovation covariance matrix using an innovative sequence with an exponent fading factor.
- Development of a new adaptive error covariance matrix scaling algorithm.
- Application of Singular Value Decomposition (SVD) to improve numerical stability.
- Termination of the scaling scheme based on the azimuth gradient to prevent overshoot.
Main Results:
- The improved fifth-degree CKF algorithm demonstrates superior alignment accuracy compared to the traditional algorithm.
- The algorithm performs effectively even under large misalignment angle conditions.
- Enhanced numerical stability and controlled convergence were achieved.
Conclusions:
- The proposed fifth-degree CKF algorithm offers a significant improvement for initial alignment, particularly in challenging large misalignment scenarios.
- The integration of adaptive scaling and SVD enhances the robustness and accuracy of the filtering process.
- This advancement contributes to more reliable navigation system performance.
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