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Reliable vehicle navigation in urban environments remains a challenging problem due to frequent satellite signal blockages caused by tall buildings and complex infrastructure. While fusing inertial reading with satellite positioning in an…

Robotics · Computer Science 2026-02-26 Mor Levenhar , Itzik Klein

Linear observed systems on groups encode the geometry of a variety of practical state estimation problems. In this paper, we propose an observer framework for a class of linear observed systems by restricting a bi-invariant system on a Lie…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Changwu Liu , Yuan Shen

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

This article proposes an inertial navigation algorithm intended to lower the negative consequences of the absence of GNSS (Global Navigation Satellite System) signals on the navigation of autonomous fixed wing low SWaP (Size, Weight, and…

Robotics · Computer Science 2022-05-05 Eduardo Gallo , Antonio Barrientos

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

Strapdown inertial navigation systems (SINS) are ubiquitious in robotics and engineering since they can estimate a rigid body pose using onboard kinematic measurements without knowledge of the dynamics of the vehicle to which they are…

Systems and Control · Electrical Eng. & Systems 2023-10-10 James Goppert , Li-Yu Lin , Kartik Pant , Benjamin Perseghetti

Inertial navigation computation is to acquire the attitude, velocity and position information of a moving body by integrating inertial measurements from gyroscopes and accelerometers. Over half a century has witnessed great efforts in…

Robotics · Computer Science 2021-09-21 Yuanxin Wu

The possible applications and benefits of autonomous Unmanned Aerial Vehicle (UAV) use in urban areas are gaining considerable attention. Before these possibilities can be realized, it is essential that UAVs be able to navigate reliably and…

Robotics · Computer Science 2021-10-05 Amanda J. Strate , Randall Christensen

Motivated by drone autonomous navigation applications we address a novel problem of velocity-aided attitude estimation by combining two linear velocity components measured in a body-fixed frame and a linear velocity component measured in an…

Optimization and Control · Mathematics 2017-03-22 Minh-Duc Hua , Tarek Hamel , Claude Samson

Accurate and reliable navigation is essential for autonomous ground vehicle operations. Standard INS/GNSS fusion relies on GNSS position updates, which provide limited observability of orientation and inertial sensor error states,…

Robotics · Computer Science 2026-05-26 Gal Versano , Itzik Klein

This letter re-visits the problem of visual-inertial navigation system (VINS) and presents a novel filter design we dub the multi state constraint equivariant filter (MSCEqF, in analogy to the well known MSCKF). We define a symmetry group…

Robotics · Computer Science 2023-11-21 Alessandro Fornasier , Pieter van Goor , Eren Allak , Robert Mahony , Stephan Weiss

In this work we solve the position-aided 3D navigation problem using a nonlinear estimation scheme. More precisely, we propose a nonlinear observer to estimate the full state of the vehicle (position, velocity, orientation and gyro bias)…

Systems and Control · Electrical Eng. & Systems 2021-03-26 Soulaimane Berkane , Abdelhamid Tayebi

While LiDAR and cameras are becoming ubiquitous for unmanned aerial vehicles (UAVs) but can be ineffective in challenging environments, 4D millimeter-wave (MMW) radars that can provide robust 3D ranging and Doppler velocity measurements are…

Robotics · Computer Science 2025-02-24 Jinwen Zhu , Jun Hu , Xudong Zhao , Xiaoming Lang , Yinian Mao , Guoquan Huang

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

The task of strapdown inertial navigation system (SINS) initial alignment is to calculate the attitude transformation matrix from body frame to navigation frame. In this paper, such attitude transformation matrix is divided into two parts…

Robotics · Computer Science 2021-10-27 Lubin Chang , Fangjun Qin , Jiangning Xu

This paper presents a novel approach to address the inconsistency problem caused by observability mismatch in visual-inertial navigation systems (VINS). The key idea involves applying a linear time-varying transformation to the error-state…

Robotics · Computer Science 2025-10-28 Chungeng Tian , Ning Hao , Fenghua He

In this paper, we perform a thorough observability analysis for linearized inertial navigation systems (INS) aided by exteroceptive range and/or bearing sensors (such as cameras, LiDAR and sonars) with different geometric features (points,…

Optimization and Control · Mathematics 2018-05-16 Yulin Yang , Guoquan Huang

Respecting the geometry of the underlying system and exploiting its symmetry have been driving concepts in deriving modern geometric filters for inertial navigation systems (INSs). Despite their success, the explicit treatment of inertial…

Robotics · Computer Science 2024-07-22 Alessandro Fornasier

The Extended Kalman Filter (EKF) is both the historical algorithm for multi-sensor fusion and still state of the art in numerous industrial applications. However, it may prove inconsistent in the presence of unobservability under a group of…

Robotics · Computer Science 2019-03-14 Martin Brossard , Axel Barrau , Silvère Bonnabel

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