Observer design for nonlinear systems with equivariance

R Mahony, P Van Goor, T Hamel - Annual Review of Control …, 2022 - annualreviews.org
Equivariance is a common and natural property of many nonlinear control systems,
especially those associated with models of mechatronic and navigation systems. Such …

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 …

Direct and indirect vslam fusion for augmented reality

M Outahar, G Moreau, JM Normand - Journal of Imaging, 2021 - mdpi.com
Augmented reality (AR) is an emerging technology that is applied in many fields. One of the
limitations that still prevents AR to be even more widely used relates to the accessibility of …

MSCEqF: A Multi State Constraint Equivariant Filter for Vision-Aided Inertial Navigation

A Fornasier, P van Goor, E Allak… - IEEE Robotics and …, 2023 - ieeexplore.ieee.org
This letter re-visits the problem of visual-inertial navigation system (VINS) and presents a
novel filter design we dub the multi state constraint equivariant filter (MSC EqF, in analogy to …

Equivariant Symmetries for Aided Inertial Navigation

A Fornasier - arXiv preprint arXiv:2407.14297, 2024 - arxiv.org
Respecting the geometry of the underlying system and exploiting its symmetry have been
driving concepts in deriving modern geometric filters for inertial navigation systems (INSs) …

Global asymptotic convergent observer for slam

SH Hashemi, J Mattila - IEEE Access, 2022 - ieeexplore.ieee.org
This paper investigates the global convergence problem of SLAM algorithms, a problem that
has been subject to topological obstacles. This is due to the fact that state-space of attitude …