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Navigation solutions suitable for cases when both autonomous robot's pose (\textit{i.e}., attitude and position) and its environment are unknown are in great demand. Simultaneous Localization and Mapping (SLAM) fulfills this need by…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Hashim A. Hashim , Abdelrahman E. E. Eltoukhy

A geometric nonlinear observer algorithm for Simultaneous Localization and Mapping (SLAM) developed on the Lie group of \mathbb{SLAM}_{n}\left(3\right) is proposed. The presented novel solution estimates the vehicle's pose (i.e. attitude…

Systems and Control · Electrical Eng. & Systems 2020-09-25 Hashim A. Hashim

Landmark Inertial Simultaneous Localisation and Mapping (LI-SLAM) is the problem of estimating the locations of landmarks in the environment and the robot's pose relative to those landmarks using landmark position measurements and…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Arkadeep Saha , Pieter van Goor , Antonio Franchi , Ravi Banavar

Simultaneous Localization and Mapping (SLAM) is a process of concurrent estimation of the vehicle's pose and feature locations with respect to a frame of reference. This paper proposes a computationally cheap geometric nonlinear SLAM filter…

Robotics · Computer Science 2022-03-18 Hashim A. Hashim , Abdelrahman E. E. Eltoukhy

In Landmark-Inertial Simultaneous Localisation and Mapping (LI-SLAM), the positions of landmarks in the environment and the robot's pose relative to these landmarks are estimated using landmark position measurements, and measurements from…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Arkadeep Saha , Pieter van Goor , Ravi Banavar

The process of simultaneously mapping the environment in three dimensional (3D) space and localizing a moving vehicle's pose (orientation and position) is termed Simultaneous Localization and Mapping (SLAM). SLAM is a core task in robotics…

Systems and Control · Electrical Eng. & Systems 2021-09-13 Trevor P. Drayton , Abdul A. Jaiyeola , Nazmul Hoque , Mikhayla Maurer , Hashim A. Hashim

A robust nonlinear stochastic observer for simultaneous localization and mapping (SLAM) is proposed using the available uncertain measurements of angular velocity, translational velocity, and features. The proposed observer is posed on the…

Systems and Control · Electrical Eng. & Systems 2021-09-15 Marium Tawhid , Ajay Singh Ludher , Hashim A. Hashim

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 camera and an inertial measurement unit (IMU). The system state…

Robotics · Computer Science 2021-12-22 Bowen Yi , Chi Jin , Lei Wang , Guodong Shi , Ian R. Manchester

This paper considers the problem of attitude, position and linear velocity estimation for rigid body systems relying on landmark measurements. We propose two hybrid nonlinear observers on the matrix Lie group $SE_2(3)$, leading to global…

Optimization and Control · Mathematics 2020-05-15 Miaomiao Wang , Abdelhamid Tayebi

This paper deals with the simultaneous estimation of the attitude, position and linear velocity for vision-aided inertial navigation systems. We propose a nonlinear observer on $SO(3)\times \mathbb{R}^{15}$ relying on body-frame…

Optimization and Control · Mathematics 2021-06-08 Miaomiao Wang , Soulaimane Berkane , Abdelhamid Tayebi

Simultaneous Localization and Mapping (SLAM) is one of the key robotics tasks as it tackles simultaneous mapping of the unknown environment defined by multiple landmark positions and localization of the unknown pose (i.e., attitude and…

Systems and Control · Electrical Eng. & Systems 2021-02-12 Hashim A. Hashim

This paper introduces a new linear parameterization to the problem of visual inertial simultaneous localization and mapping (VI-SLAM) -- without any approximation -- for the case only using information from a single monocular camera and an…

Systems and Control · Electrical Eng. & Systems 2023-06-23 Bowen Yi , Chi Jin , Lei Wang , Guodong Shi , Viorela Ila , Ian R. Manchester

This paper investigates the estimation problem of the pose (orientation and position) and linear velocity of a rigid body, as well as the landmark positions, using an inertial measurement unit (IMU) and a monocular camera. First, we propose…

Systems and Control · Electrical Eng. & Systems 2024-07-26 Miaomiao Wang , Abdelhamid Tayebi

This paper addresses the problem of Visual-Inertial Odometry (VIO) for rigid body systems evolving in three-dimensional space. We introduce a novel matrix Lie group structure, denoted SE_{3+n}(3), that unifies the pose, gravity, linear…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Mouaad Boughellaba , Abdelhamid Tayebi , James R. Forbes , Soulaimane Berkane

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 VSLAM by lifting the observer design to a novel Lie group on which the…

Systems and Control · Electrical Eng. & Systems 2026-01-19 Pieter van Goor , Robert Mahony , Tarek Hamel , Jochen Trumpf

This paper presents Lidar-based Simultaneous Localization and Mapping (SLAM) for autonomous driving vehicles. Fusing data from landmark sensors and a strap-down Inertial Measurement Unit (IMU) in an adaptive Kalman filter (KF) plus the…

Robotics · Computer Science 2022-08-26 Farhad Aghili

Visual Simultaneous Localisation and Mapping (VSLAM) is a key enabling technology for small embedded robotic systems such as aerial vehicles. Recent advances in equivariant filter and observer design offer the potential of a new generation…

Robotics · Computer Science 2020-06-01 Pieter van Goor , Robert Mahony , Tarek Hamel , Jochen Trumpf

This paper deals with the problem of full state estimation for vehicles navigating in a three dimensional space. We assume that the vehicle is equipped with an Inertial Measurement Unit (IMU) providing body-frame measurements of the angular…

Optimization and Control · Mathematics 2021-02-01 Soulaimane Berkane , Abdelhamid Tayebi , Simone de Marco

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 a continuous-time equivariant observer design problem on the…

Robotics · Computer Science 2020-06-16 Pieter van Goor , Robert Mahony , Tarek Hamel , Jochen Trumpf

Successful navigation of a rigid-body traveling with six degrees of freedom (6 DoF) requires accurate estimation of attitude , position, and linear velocity. The true navigation dynamics are highly nonlinear and are modeled on the matrix…

Systems and Control · Electrical Eng. & Systems 2021-07-30 Hashim A Hashim
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