The invariant extended Kalman filter as a stable observer

A Barrau, S Bonnabel - IEEE Transactions on Automatic …, 2016 - ieeexplore.ieee.org
We analyze the convergence aspects of the invariant extended Kalman filter (IEKF), when
the latter is used as a deterministic nonlinear observer on Lie groups, for continuous-time …

Introduction to riemannian geometry and geometric statistics: from basic theory to implementation with geomstats

N Guigui, N Miolane, X Pennec - Foundations and Trends® in …, 2023 - nowpublishers.com
As data is a predominant resource in applications, Riemannian geometry is a natural
framework to model and unify complex nonlinear sources of data. However, the …

An invariant method for electric vehicle battery state-of-charge estimation under dynamic drive cycles

A Wadi, M Abdel-Hafez, HA Hashim… - IEEE Access, 2023 - ieeexplore.ieee.org
This paper proposes a novel invariant extended Kalman filter (IEKF), a modified version of
the extended Kalman filter (EKF), for state-of-charge (SOC) estimation of lithium-ion (Li-ion) …

Computational optimal transport and filtering on Riemannian manifolds

D Grange, M Al-Jarrah, R Baptista… - IEEE Control …, 2023 - ieeexplore.ieee.org
In this letter we extend recent developments in computational optimal transport to the setting
of Riemannian manifolds. In particular, we show how to learn optimal transport maps from …

Features of invariant extended Kalman filter applied to unmanned aerial vehicle navigation

NY Ko, W Youn, IH Choi, G Song, TS Kim - Sensors, 2018 - mdpi.com
This research used an invariant extended Kalman filter (IEKF) for the navigation of an
unmanned aerial vehicle (UAV), and compared the properties and performance of this IEKF …

[LLIBRE][B] Multisensor attitude estimation: fundamental concepts and applications

H Fourati, DEC Belkhiat - 2016 - taylorfrancis.com
There has been an increasing interest in multi-disciplinary research on multisensor attitude
estimation technology driven by its versatility and diverse areas of application, such as …