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 …

Terrain preview detection system based on loosely coupled and tightly coupled fusion with lidar and IMU

L Wang, S Li, M Du, G Ji, K Li, D Liu - Measurement, 2025 - Elsevier
The ride comfort of emergency rescue vehicles is considerably affected by the terrain
preview accuracy. In this paper, a robust, precise terrain preview detection system that …

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 …

Globally convergent visual-feature range estimation with biased inertial measurements

B Yi, C Jin, IR Manchester - Automatica, 2022 - Elsevier
The design of a globally convergent position observer for feature points from visual
information is a challenging problem, especially for the case with only inertial measurements …

An almost globally convergent observer for visual SLAM without persistent excitation

B Yi, C Jin, L Wang, G Shi… - 2021 60th IEEE …, 2021 - ieeexplore.ieee.org
In this paper we propose a novel observer to solve the problem of visual simultaneous
localization and mapping (SLAM), only using the information from a single monocular …

PEBO-SLAM: Observer design for visual inertial SLAM with convergence guarantees

B Yi, C Jin, L Wang, G Shi, V Ila… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
This paper introduces a new parameterization for the problem of visual inertial simultaneous
localization and mapping (VI-SLAM), ie for a robot only equipped with a single monocular …

Consensus with persistently exciting couplings and its application to vision-based estimation

Z Miao, YH Liu, Y Wang, H Chen… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
The problem of consensus in networked agent systems is revisited and applied to vision-
based localization. A class of new consensus dynamics is introduced first, and sufficient …

Semiglobally asymptotically stable nonlinear observer for camera aided navigation

E Bjørne, EF Brekke, TH Bryne… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
This brief presents a nonlinear observer that performs range estimation as well as gyro-bias
estimation by using velocity, angular rate, and bearing angle measurements from landmarks …

Globally stable velocity estimation using normalized velocity measurement

E Bjørne, EF Brekke, TH Bryne… - … Journal of Robotics …, 2020 - journals.sagepub.com
The problem of estimating velocity from a monocular camera and calibrated inertial
measurement unit (IMU) measurements is revisited. For the presented setup, it is assumed …