English

Adaptive Invariant Extended Kalman Filter with Noise Covariance Tuning for Attitude Estimation

Signal Processing 2024-10-22 v1 Systems and Control Systems and Control

Abstract

Attitude estimation is crucial in aerospace engineering, robotics, and virtual reality applications, but faces difficulties due to nonlinear system dynamics and sensor limitations. This paper addresses the challenge of attitude estimation using quaternion-based adaptive right invariant extended Kalman filtering (RI-EKF) that integrates data from inertial and magnetometer sensors. Our approach applies the expectation-maximization (EM) algorithm to estimate noise covariance, exploiting RI-EKF symmetry properties. We analyze the adaptive RI-EKF's stability, convergence, and accuracy, validating its performance through simulations and comparison with the left invariant EKF. Monte Carlo simulations validate the effectiveness of our noise covariance estimation technique across various window lengths.

Keywords

Cite

@article{arxiv.2410.01958,
  title  = {Adaptive Invariant Extended Kalman Filter with Noise Covariance Tuning for Attitude Estimation},
  author = {Yash Pandey and Rahul Bhattacharyya and Yatindra Nath Singh},
  journal= {arXiv preprint arXiv:2410.01958},
  year   = {2024}
}

Comments

This work has been submitted to the IEEE for possible publication