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In this work, we explore the recent advances in equivariant filtering for inertial navigation systems to improve state estimation for uncrewed aerial vehicles (UAVs). Traditional state-of-the-art estimation methods, e.g., the multiplicative…

Robotics · Computer Science 2023-10-17 Martin Scheiber , Alessandro Fornasier , Christian Brommer , Stephan Weiss

This paper addresses the issues of unmanned aerial vehicle (UAV) indoor navigation, specifically in areas where GPS and magnetometer sensor measurements are unavailable or unreliable. The proposed solution is to use an error state extended…

Robotics · Computer Science 2021-09-13 Lovro Markovic , Marin Kovac , Robert Milijas , Marko Car , Stjepan Bogdan

Autonomous surface vessels (ASVs) are increasingly vital for marine science, offering robust platforms for underwater mapping and inspection. Accurate state estimation, particularly of vehicle pose, is paramount for precise seafloor…

Robotics · Computer Science 2025-06-13 Derek Benham , Easton Potokar , Joshua G. Mangelson

Legged robots require knowledge of pose and velocity in order to maintain stability and execute walking paths. Current solutions either rely on vision data, which is susceptible to environmental and lighting conditions, or fusion of…

Robotics · Computer Science 2019-11-13 Ross Hartley , Maani Ghaffari , Ryan M. Eustice , Jessy W. Grizzle

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

Accurate state estimation of nonlinear dynamical systems is fundamental to modern aerospace operations across air, sea, and space domains. Online tracking of adversarial unmanned aerial vehicles (UAVs) is especially challenging due to agile…

Machine Learning · Computer Science 2026-05-01 Akhil Gupta , Erhan Guven

Inertial Navigation Systems (INS) are a key technology for autonomous vehicles applications. Recent advances in estimation and filter design for the INS problem have exploited geometry and symmetry to overcome limitations of the classical…

Robotics · Computer Science 2022-09-27 Alessandro Fornasier , Yonhon Ng , Robert Mahony , Stephan Weiss

This paper presents a solution for the state estimation and control problems for a class of unconventional vertical takeoff and landing (VTOL) UAVs operating in forward-flight conditions. A tightly-coupled state estimation approach is used…

Robotics · Computer Science 2024-03-04 Mitchell Cohen , James Richard Forbes

This paper derives a contact-aided inertial navigation observer for a 3D bipedal robot using the theory of invariant observer design. Aided inertial navigation is fundamentally a nonlinear observer design problem; thus, current solutions…

Robotics · Computer Science 2019-05-22 Ross Hartley , Maani Ghaffari Jadidi , Jessy W. Grizzle , Ryan M. Eustice

This paper proposes an $SE_2(3)$ based extended Kalman filtering (EKF) framework for the inertial-integrated state estimation problem. The error representation using the straight difference of two vectors in the inertial navigation system…

Robotics · Computer Science 2021-03-15 Yarong Luo , Chi Guo , Shengyong You , Jianlang Hu , Jingnan Liu

While many works exploiting an existing Lie group structure have been proposed for state estimation, in particular the Invariant Extended Kalman Filter (IEKF), few papers address the construction of a group structure that allows casting a…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Axel Barrau , Silvere Bonnabel

This paper describes a novel tracking filter, designed primarily for use in collision avoidance systems on autonomous surface vehicles (ASVs). The proposed methodology leverages real-time kinematic information broadcast via the Automatic…

Robotics · Computer Science 2021-11-29 Blake Cole , Gabriel Schamberg

Invariant extended Kalman filter (InEKF) possesses excellent trajectory-independent property and better consistency compared to conventional extended Kalman filter (EKF). However, when applied to scenarios involving both global-frame and…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Jiale Han , Wei Ouyang , Maoran Zhu , Yuanxin Wu

The main contribution of this paper is an invariant extended Kalman filter (EKF) for visual inertial navigation systems (VINS). It is demonstrated that the conventional EKF based VINS is not invariant under the stochastic unobservable…

Robotics · Computer Science 2017-03-02 Teng Zhang , Kanzhi Wu , Daobilige Su , Shoudong Huang , Gamini Dissanayake

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

This study presents an innovative hybrid Visual-Inertial Odometry (VIO) method for Unmanned Aerial Vehicles (UAVs) that is resilient to environmental challenges and capable of dynamically assessing sensor reliability. Built upon a loosely…

Robotics · Computer Science 2025-12-22 Ufuk Asil , Efendi Nasibov

Many Inertial Navigation Systems (INS) use Global Navigation Satellite System (GNSS) position as the primary measurement to drive filter performance and bound error growth. However, commercial-grade GNSS receivers introduce unknown…

Robotics · Computer Science 2026-05-14 Giulio Delama , Martin Scheiber , Yixiao Ge , Tarek Hamel , Stephan Weiss , Robert Mahony

Accurate relative positioning is crucial for swarm aerial robotics, enabling coordinated flight and collision avoidance. Although vision-based tracking has been extensively studied, 3D LiDAR-based methods remain underutilized despite their…

Robotics · Computer Science 2026-03-17 Nivand Khosravi , Meysam Basiri , Rodrigo Ventura

Indoor tracking and pose estimation, i.e., determining the position and orientation of a moving target, are increasingly important due to their numerous applications. While Inertial Navigation Systems (INS) provide high update rates, their…

Robotics · Computer Science 2024-09-04 Mohammed H. AlSharif , Mohanad Ahmed , Mohamed Siala , Tareq Y. Al-Naffouri

Building upon the theory of Kalman Filtering on Lie Groups, this paper describes an Extended Kalman Filter and Smoother for Loosely Coupled Integration of GNSS/INS tailored for post-processing applications. The approach employs a dynamic…

Robotics · Computer Science 2022-10-07 Marcos R. Fernandes , Giorgio M. Magalhães , Yusef Cáceres , João B. R. do Val
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