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This paper addresses the problem of estimating air velocity and full attitude for unmanned aerial vehicles (UAVs) in GNSS-denied environments using minimal onboard sensing-an interesting and practically relevant challenge for UAV…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Melone Nyoba Tchonkeu , Soulaimane Berkane , Tarek Hamel

This paper investigates the orientation, position, and linear velocity estimation problem of a rigid-body moving in three-dimensional (3D) space with six degrees-of-freedom (6 DoF). The highly nonlinear navigation kinematics are formulated…

Robotics · Computer Science 2024-12-05 Khashayar Ghanizadegan , Hashim A. Hashim

Inertial Velocity-Aided Attitude (VAA), the estimation of the velocity and attitude of a vehicle using gyroscope, accelerometer, and inertial-frame velocity (e.g. GPS velocity) measurements, is an important problem in the control of…

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

This paper sets a new foundation for data-driven inertial navigation research, where the task is the estimation of positions and orientations of a moving subject from a sequence of IMU sensor measurements. More concretely, the paper…

Computer Vision and Pattern Recognition · Computer Science 2019-05-31 Hang Yan , Sachini Herath , Yasutaka Furukawa

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

In this article, a tutorial introduction to visual-inertial navigation(VIN) is presented. Visual and inertial perception are two complementary sensing modalities. Cameras and inertial measurement units (IMU) are the corresponding sensors…

Robotics · Computer Science 2023-07-25 Yangyang Ning

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

This paper proposes a unified mathematical framework for inertial measurement unit (IMU) preintegration in inertial-aided navigation system in different frames under different motion condition. The navigation state is precisely discretized…

Robotics · Computer Science 2022-08-16 Yarong Luo , Yang Liu , Chi Guo , Jingnan Liu

A nonlinear observer on the Special Euclidean group $\mathrm{SE(3)}$ for full pose estimation, that takes the system outputs on the real projective space directly as inputs, is proposed. The observer derivation is based on a recent advanced…

Optimization and Control · Mathematics 2015-09-11 Minh-Duc Hua , Tarek Hamel , Robert Mahony , Jochen Trumpf

This paper proposes a novel unit-quaternion observer-based controller for attitude tracking (attitude and angular velocity) with guaranteed transient and steady-state performance. The proposed approach is computationally cheap and can…

Systems and Control · Electrical Eng. & Systems 2021-11-23 Hashim A. Hashim

Two novel nonlinear pose (i.e, attitude and position) filters developed directly on the Special Euclidean Group SE(3)able to guarantee prescribed characteristics of transient and steady-state performance are proposed. The position error and…

Optimization and Control · Mathematics 2021-04-15 Hashim A. Hashim , Lyndon J. Brown , Kenneth McIsaac

This paper proposes a novel data-driven approach for inertial navigation, which learns to estimate trajectories of natural human motions just from an inertial measurement unit (IMU) in every smartphone. The key observation is that human…

Computer Vision and Pattern Recognition · Computer Science 2018-01-03 Hang Yan , Qi Shan , Yasutaka Furukawa

This paper presents a novel end-to-end deep learning framework for real-time inertial attitude estimation using 6DoF IMU measurements. Inertial Measurement Units are widely used in various applications, including engineering and medical…

Robotics · Computer Science 2023-05-23 Arman Asgharpoor Golroudbari , Mohammad Hossein Sabour

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

The rigid-body attitude tracking using vector and biased gyro measurements with unknown inertia matrix is studied in this note. First, a gyro-bias observer with global exponential stability is designed. Then, an attitude tracking controller…

Systems and Control · Electrical Eng. & Systems 2022-08-05 Eduardo Espíndola , Yu Tang

Accurate camera motion estimation is a fundamental building block for many Computer Vision algorithms. For improved robustness, temporal consistency of translational and rotational camera velocity is often assumed by propagating motion…

Optimization and Control · Mathematics 2015-03-02 Johannes Berger , Andreas Neufeld , Florian Becker , Frank Lenzen , Christoph Schnörr

Attitude estimation using scalar measurements, corresponding to partial vectorial observations, arises naturally when inertial vectors are not fully observed but only measured along specific body-frame vectors. Such measurements arise in…

Systems and Control · Electrical Eng. & Systems 2026-04-10 Alessandro Melis , Soulaimane Berkane , Tarek Hamel

Inertial-based navigation refers to the navigation methods or systems that have inertial information or sensors as the core part and integrate a spectrum of other kinds of sensors for enhanced performance. Through a series of papers, the…

Robotics · Computer Science 2023-05-18 Maoran Zhu , Yuanxin Wu

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

We present a method to improve the accuracy of a zero-velocity-aided inertial navigation system (INS) by replacing the standard zero-velocity detector with a long short-term memory (LSTM) neural network. While existing threshold-based…

Robotics · Computer Science 2019-08-14 Brandon Wagstaff , Jonathan Kelly