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20202026
most citedEquivariant Filter (EqF)

43 citations · 63 across the 21 of their papers we have counts for

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Showing 2023Show all

5 papers · 1 filter

cs.RO2023

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

Alessandro Fornasier, Pieter van Goor, Eren Allak +2

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 (MSCEqF, in an…

eess.SY2023

Exploiting spatial group error and synchrony for a unicycle tracking controller

Matthew Hampsey, Pieter van Goor, Robert Mahony

Trajectory tracking for the kinematic unicycle has been heavily studied for several decades. The unicycle admits a natural $\SE(2)$ symmetry, a key structure exploited in many of t…

eess.SY2023★ 5 cited

Synchronous Observer Design for Inertial Navigation Systems with Almost-Global Convergence

Pieter van Goor, Tarek Hamel, Robert Mahony

An Inertial Navigation System (INS) is a system that integrates acceleration and angular velocity readings from an Inertial Measurement Unit (IMU), along with other sensors such as…

eess.SY2023

A Note on the Extended Kalman Filter on a Manifold

Yixiao Ge, Pieter van Goor, Robert Mahony

The kinematics of many control systems, especially in the robotics field, naturally live on smooth manifolds. Most classical state-estimation algorithms, including the extended Kal…

cs.RO2023★ 5 cited

Equivariant Symmetries for Inertial Navigation Systems

Alessandro Fornasier, Yixiao Ge, Pieter van Goor +2

This paper investigates the problem of inertial navigation system (INS) filter design through the lens of symmetry. The extended Kalman filter (EKF) and its variants have been the…