A critique of current developments in simultaneous localization and mapping

S Huang, G Dissanayake - International Journal of …, 2016 - journals.sagepub.com
The number of research publications dealing with the simultaneous localization and
mapping problem has grown significantly over the past 15 years. Many fundamental and …

Convergence and consistency analysis for a 3-D invariant-EKF SLAM

T Zhang, K Wu, J Song, S Huang… - IEEE robotics and …, 2017 - ieeexplore.ieee.org
In this letter, we investigate the convergence and consistency properties of an invariant-
extended Kalman filter (RI-EKF) based simultaneous localization and mapping (SLAM) …

An EKF-SLAM algorithm with consistency properties

A Barrau, S Bonnabel - arXiv preprint arXiv:1510.06263, 2015 - arxiv.org
In this paper we address the inconsistency of the EKF-based SLAM algorithm that stems
from non-observability of the origin and orientation of the global reference frame. We prove …

An homogeneous space geometry for simultaneous localisation and mapping

R Mahony, T Hamel, J Trumpf - Annual Reviews in Control, 2021 - Elsevier
Abstract Simultaneous Localisation and Mapping (SLAM) is the archetypal chicken and egg
problem: Localisation of a robot with respect to a map requires an estimate of the map, while …

Exploiting symmetries to design EKFs with consistency properties for navigation and SLAM

M Brossard, A Barrau, S Bonnabel - IEEE Sensors Journal, 2018 - ieeexplore.ieee.org
The extended Kalman filter (EKF) is both the historical algorithm for multi-sensor fusion and
still state of the art in numerous industrial applications. However, it may prove inconsistent in …

A geometric nonlinear observer for simultaneous localisation and mapping

R Mahony, T Hamel - 2017 IEEE 56th Annual Conference on …, 2017 - ieeexplore.ieee.org
The Simultaneous Localisation and Mapping (SLAM) problem involves estimating the pose
of a robot relative to landmarks observed in the environment while at the same time …

Landmark and imu data fusion: Systematic convergence geometric nonlinear observer for slam and velocity bias

HA Hashim, AEE Eltoukhy - IEEE Transactions on Intelligent …, 2020 - ieeexplore.ieee.org
Navigation solutions suitable for cases when both autonomous robot's pose (ie., attitude and
position) and its environment are unknown are in great demand. Simultaneous Localization …

Equivariant systems theory and observer design

R Mahony, T Hamel, J Trumpf - arXiv preprint arXiv:2006.08276, 2020 - arxiv.org
A wide range of system models in modern robotics and avionics applications admit natural
symmetries. Such systems are termed equivariant and the structure provided by the …

Constructive observer design for visual simultaneous localisation and mapping

P Van Goor, R Mahony, T Hamel, J Trumpf - Automatica, 2021 - Elsevier
Abstract Visual Simultaneous Localisation and Mapping (VSLAM) is a well-known problem
in robotics with a large range of applications. This paper presents a novel approach to …

A geometric observer design for visual localisation and mapping

P van Goor, R Mahony, T Hamel… - 2019 IEEE 58th …, 2019 - ieeexplore.ieee.org
This paper builds on recent work on Simultaneous Localisation and Mapping (SLAM) in the
non-linear observer community, by framing the visual localisation and mapping problem as …