Search Results for author: Tarek Hamel

Found 18 papers, 1 papers with code

Exploiting polar symmetry in designing equivariant observers for vision-based motion estimation

no code implementations8 Mar 2024 Tarek Bouazza, Robert Mahony, Tarek Hamel

Accurately estimating camera motion from image sequences poses a significant challenge in computer vision and robotics.

Motion Estimation Pose Estimation

State Estimation for Linear Systems with Quadratic Outputs

no code implementations17 Dec 2023 Soulaimane Berkane, Dionysis Theodosis, Tarek Hamel, Dimos V. Dimarogonas

This letter deals with the problem of state estimation for a class of systems involving linear dynamics with multiple quadratic output measurements.

Control of convertible UAV with vectorized thrust

no code implementations5 Nov 2023 Tomas Lopes de Oliveira, Andre Anglade, Tarek Hamel, Claude Samson

This paper is an addition to an article previously published by three of the authors that addresses the control of convertible fixed-wing aircraft with vectorized thrust.

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

no code implementations3 Nov 2023 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 GNSS position, GNSS velocity, and magnetometer, to estimate the attitude, velocity, and position of a vehicle.

Position

Constructive barrier feedback for collision avoidance in leader-follower formation control

no code implementations22 Oct 2023 Zhiqi Tang, Rita Cunha, Tarek Hamel, Carlos Silvestre

This paper proposes a novel constructive barrier feedback for reactive collision avoidance between two agents.

Collision Avoidance

Constructive Equivariant Observer Design for Inertial Navigation

no code implementations22 Aug 2023 Pieter van Goor, Tarek Hamel, Robert Mahony

Inertial Navigation Systems (INS) are algorithms that fuse inertial measurements of angular velocity and specific acceleration with supplementary sensors including GNSS and magnetometers to estimate the position, velocity and attitude, or extended pose, of a vehicle.

Position

Nonlinear constructive observer design for direct homography estimation

no code implementations10 Mar 2023 Tarek Bouazza, Pieter van Goor, Robert Mahony, Tarek Hamel

Feature-based homography estimation approaches rely on extensive image processing for feature extraction and matching, and do not adequately account for the information provided by the image.

Homography Estimation

Constructive Equivariant Observer Design for Inertial Velocity-Aided Attitude

no code implementations8 Sep 2022 Pieter van Goor, Tarek Hamel, Robert Mahony

Inertial Velocity-Aided Attitude (VAA) is an important problem in the control of Remotely Piloted Aerial Systems (RPAS), and involves estimating the velocity and attitude of a vehicle using gyroscope, accelerometer, and inertial-frame velocity (e. g. GPS velocity) measurements.

Formation control of a leader-follower structure in three dimensional space using bearing measurements

no code implementations15 Oct 2021 Zhiqi Tang, Rita Cunha, Tarek Hamel, Carlos Silvestre

This paper addresses the problem of bearing leader-follower formation control in three-dimensional space by exploring the persistence of excitation (PE) of the desired formation.

Quadrotor going through a window and landing: An image-based visual servo control approach

no code implementations12 Oct 2021 Zhiqi Tang, Rita Cunha, David Cabecinhas, Tarek Hamel, Carlos Silvestre

For the first stage, a control law is proposed that guarantees that the vehicle will not collide with the wall containing the window and will go through the window with non-zero velocity along the direction orthogonal to the window, keeping at all times a safety distance with respect to the window edges.

Optical Flow Estimation Position

Observer Design for Nonlinear Systems with Equivariance

no code implementations20 Aug 2021 Robert Mahony, Pieter van Goor, Tarek Hamel

The equivariant filter exploits the symmetry and respects the geometry of an equivariant system model and yields high performance robust filters for a wide range of mechatronic and navigation systems.

Equivariant filter (EqF): A general filter design for systems on homogeneous spaces

no code implementations12 Jul 2021 Pieter van Goor, Tarek Hamel, Robert Mahony

The kinematics of many mechanical systems encountered in robotics and other fields, such as single-bearing attitude estimation and SLAM, are naturally posed on homogeneous spaces: That is, their state lies in a smooth manifold equipped with a transitive Lie-group symmetry.

Equivariant Systems Theory and Observer Design for Second Order Kinematic Systems on Matrix Lie Groups

no code implementations11 May 2021 Yonhon Ng, Pieter van Goor, Tarek Hamel, Robert Mahony

The state of a second order kinematic system on a matrix Lie group is naturally posed on the tangent bundle of the group with the inputs lying in the tangent of the tangent bundle known as the double tangent bundle.

Attitude Observation for Second Order Attitude Kinematics

no code implementations14 Apr 2021 Yonhon Ng, Pieter van Goor, Robert Mahony, Tarek Hamel

This paper addresses the problem of estimating the attitude and angular velocity of a rigid object by exploiting its second order kinematic model.

Object

Relaxed bearing rigidity and bearing formation control under persistence of excitation

no code implementations10 Mar 2021 Zhiqi Tang, Rita Cunha, Tarek Hamel, Carlos Silvestre

This paper addresses the problem of time-varying bearing formation control in $d$ $(d\ge 2)$-dimensional Euclidean space by exploring Persistence of Excitation (PE) of the desired bearing reference.

Equivariant Filter (EqF)

1 code implementation27 Oct 2020 Pieter van Goor, Tarek Hamel, Robert Mahony

Simulation experiments of an example application show that the EqF significantly outperforms the extended Kalman filter and that the reduced linearisation error leads to a clear improvement in performance.

Constructive Observer Design for Visual Simultaneous Localisation and Mapping

no code implementations9 Jun 2020 Pieter van Goor, Robert Mahony, Tarek Hamel, Jochen Trumpf

Visual Simultaneous Localisation and Mapping (VSLAM) is a well-known problem in robotics with a large range of applications.

Feature-based Recursive Observer Design for Homography Estimation

no code implementations9 Jun 2016 Minh-Duc Hua, Jochen Trumpf, Tarek Hamel, Robert Mahony, Pascal Morin

This paper presents a new algorithm for online estimation of a sequence of homographies applicable to image sequences obtained from robotic vehicles equipped with vision sensors.

Homography Estimation

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