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Two nonlinear observers for velocity-aided attitude estimation, relying on gyrometers, accelerometers, magnetometers, and velocity measured in the body-fixed frame, are proposed. As opposed to state-of-the-art body-fixed velocity-aided…

Optimization and Control · Mathematics 2014-11-17 Minh-Duc Hua , Philippe Martin , Tarek Hamel

The design of navigation observers able to simultaneously estimate the position, linear velocity and orientation of a vehicle in a three-dimensional space is crucial in many robotics and aerospace applications. This problem was mainly dealt…

Optimization and Control · Mathematics 2020-09-21 Miaomiao Wang , Abdelhamid Tayebi

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…

Systems and Control · Electrical Eng. & Systems 2023-08-23 Pieter van Goor , Tarek Hamel , Robert Mahony

This paper addresses the problem of Simultaneous Localization and Mapping (SLAM) for rigid body systems in three-dimensional space. We introduce a new matrix Lie group SE_{3+n}(3), whose elements are composed of the pose, gravity, linear…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Mouaad Boughellaba , Soulaimane Berkane , Abdelhamid Tayebi

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

This paper investigates vision-based cooperative estimation of a 3D target object pose for visual sensor networks. In our previous works, we presented an estimation mechanism called networked visual motion observer achieving averaging of…

Systems and Control · Computer Science 2012-04-12 Takeshi Hatanaka , Takayuki Nishi , Masayuki Fujita

By proper co-ordinates of non-inertial observers (shortly - proper non-inertial co-ordinates) we understand the proper co-ordinates of an arbitrarily moving local observer. After a brief review of the theory of proper non-inertial…

General Relativity and Quantum Cosmology · Physics 2007-05-23 H. Nikolic

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

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

This paper revisits the previously proposed linear asymptotic observer of the motion state variables with nonlinear friction and provides a robust design suitable for both, transient presliding and steady-state sliding phases of the…

Systems and Control · Electrical Eng. & Systems 2023-05-26 Michael Ruderman

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. Therefore, developing efficient direct…

Systems and Control · Electrical Eng. & Systems 2024-02-01 Tarek Bouazza , Pieter Van Goor , Robert Mahony , Tarek Hamel

The paper proposes a technique to estimate the angular velocity of a rigid body from single vector measurements. Compared to the approaches presented in the literature, it does not use attitude information nor rate gyros as inputs. Instead,…

Dynamical Systems · Mathematics 2015-03-12 Lionel Magnis , Nicolas Petit

This paper presents a general purpose framework for autonomous, vision-based interception of dynamic, non-cooperative targets, validated across three distinct mobility platforms: an unmanned aerial vehicle (UAV), a four-wheeled ground…

Robotics · Computer Science 2025-12-25 Tanmay P. Patel , Erica L. Tevere , Erik H. Kramer , Rudranarayan M. Mukherjee

This paper proposes a globally and exponentially convergent predictive observer for attitude and position estimation based on landmark measurements and velocity (angular and linear) readings. It is assumed that landmark measurements are…

Systems and Control · Computer Science 2016-05-02 Danial Senejohnny , Mehrzad Namvar

This paper proposes a novel observer-based controller for Vertical Take-Off and Landing (VTOL) Unmanned Aerial Vehicle (UAV) designed to directly receive measurements from a Vision-Aided Inertial Navigation System (VA-INS) and produce the…

Robotics · Computer Science 2023-08-28 Hashim A. Hashim , Abdelrahman E. E. Eltoukhy , Akos Odry

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

This paper addresses the leader-following attitude consensus problem for a group of spacecraft when at least one follower can access the leader's attitude and velocity relative to the inertial space. A nonlinear distributed observer is…

Optimization and Control · Mathematics 2020-09-15 Haichao Gui , Anton H. J. de Ruiter

Optical cameras are gaining popularity as the suitable sensor for relative navigation in space due to their attractive sizing, power and cost properties when compared to conventional flight hardware or costly laser-based systems. However, a…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Duarte Rondao , Nabil Aouf , Mark A. Richardson , Vincent Dubanchet

This paper studies a rigid body attitude tracking control problem with attitude measurements only, when angular velocity measurements are not available. An angular velocity observer is constructed such that the estimated angular velocity is…

Optimization and Control · Mathematics 2015-03-26 Tse-Huai Wu , Taeyoung Lee

This paper addresses accurate pose estimation (position, velocity, and orientation) for a rigid body using a combination of generic inertial-frame and/or body-frame measurements along with an Inertial Measurement Unit (IMU). By embedding…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Sifeddine Benahmed , Soulaimane Berkane , Tarek Hamel