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Related papers: Nonlinear Estimation for Position-Aided Inertial N…

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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

Navigation in Global Positioning Systems (GPS)-denied environments requires robust estimators reliant on fusion of inertial sensors able to estimate rigid-body's orientation, position, and linear velocity. Ultra-wideband (UWB) and Inertial…

Systems and Control · Electrical Eng. & Systems 2023-08-17 Hashim A. Hashim , Abdelrahman E. E. Eltoukhy , Kyriakos G. Vamvoudakis , Mohammed I. Abouheaf

Accurate and robust attitude estimation is a central challenge for autonomous vehicles operating in GNSS-denied or highly dynamic environments. In such cases, Inertial Measurement Units (IMUs) alone are insufficient for reliable tilt…

Robotics · Computer Science 2025-09-18 Méloné Nyoba Tchonkeu , Soulaimane Berkane , Tarek Hamel

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

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

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 novel approach to the problem of partial state estimation of nonlinear systems is proposed. The main idea is to translate the state estimation problem into one of estimation of constant, unknown parameters related to the systems initial…

Systems and Control · Computer Science 2016-04-08 Ortega Romeo , Bobtsov Alexey , Pyrkin Anton , Aranovskiy Stanislav

We derive an exact deterministic nonlinear observer to compute the continuous state of an inertial navigation system based on partial discrete measurements, the so-called strapdown problem. Nonlinear contraction is used as the main analysis…

Optimization and Control · Mathematics 2007-05-23 Yong Zhao , Jean-Jacques E. Slotine

We propose a simple nonlinear observer for estimating the attitude and velocity of a rigid body from the measurements of specific acceleration, angular velocity, magnetic field (in body axes), and linear velocity (in body axes). It is…

Optimization and Control · Mathematics 2016-08-29 Philippe Martin , Ioannis Sarras , Minh-Duc Hua , Tarek Hamel

This paper addresses the problem of estimating the position of an object moving in $R^n$ from direction and velocity measurements. After addressing observability issues associated with this problem, a nonlinear observer is designed so as to…

Systems and Control · Computer Science 2015-03-27 Florent Le Bras , Tarek Hamel , Robert Mahony , Claude Samson

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

The paper presents a new observer for tilt estimation of a 3-D non-rigid pendulum. The system can be seen as a multibody robot attached to the environment with a ball joint. There is no sensor for the joint position of the sensor. The…

Robotics · Computer Science 2018-11-01 Mehdi Benallegue , Abdelaziz Benallegue , Yacine Chitour

This paper introduces a new approach to 3-D position estimation from acceleration data, i.e., a 3-D motion tracking system having a small size and low-cost magnetic and inertial measurement unit (MIMU) composed by both a digital compass and…

Robotics · Computer Science 2013-11-20 P. Neto , J. N. Pires , A. P Moreira

This paper concerns the estimation problem of attitude, position, and linear velocity of a rigid-body autonomously navigating with six degrees of freedom (6 DoF). The navigation dynamics are highly nonlinear and are modeled on the matrix…

Systems and Control · Electrical Eng. & Systems 2021-08-27 Hashim A. Hashim , Mohammed Abouheaf , Mohammad A. Abido

We present a robust control and estimation framework for quadrotors operating in Global Navigation Satellite System(GNSS)-denied, non-inertial environments where inertial sensors such as Inertial Measurement Units (IMUs) become unreliable…

Robotics · Computer Science 2026-02-05 Riming Xu , Obadah Wali , Yasmine Marani , Eric Feron

Pose estimation purely based on 3D point-cloud could suffer from degradation, e.g. scan blocks or scans in repetitive environments. To deal with this problem, we propose an approach for fusing 3D spinning LiDAR and IMU to estimate the…

Robotics · Computer Science 2017-10-20 Haoyang Ye , Ming Liu

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

This paper presents three non-linear observers on three examples of engineering interest: a chemical reactor, a non-holonomic car, and an inertial navigation system. For each example, the design is based on physical symmetries. This…

Optimization and Control · Mathematics 2016-11-17 S. Bonnabel , Ph. Martin , P. Rouchon

This paper presents a robust non-linear state estimator for autonomous surface vehicles, where the movement is restricted to the horizontal plane. It is assumed that only the vehicle position and orientation can be measured, being the…

Systems and Control · Electrical Eng. & Systems 2024-02-07 Guillermo Bejarano , Sufiyan N-Yo , Luis Orihuela

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 and without assumptions of uniform observability, which…

Systems and Control · Electrical Eng. & Systems 2022-04-15 Bowen Yi , Chi Jin , Ian R. Manchester