Abstract
An attitude and heading reference system (AHRS) is a nonlinear state estimator unit for computing orientation in 3D space. This paper designs an AHRS using three approaches: an invariant observer, an invariant extended Kalman filter (IEKF), and a conventional extended Kalman filter (EKF). The three designs are validated in experiment versus a ground truth, demonstrating the practical interest of the invariant observer methodology and the advantage of the IEKF over the EKF under model uncertainty.
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