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This paper provides new results for a robust adaptive tracking control of the attitude dynamics of a rigid body. Both of the attitude dynamics and the proposed control system are globally expressed on the special orthogonal group, to avoid…

Optimization and Control · Mathematics 2011-09-05 Taeyoung Lee

This paper concerns the problem of attitude determination and estimation. The early applications considered algebraic methods of attitude determination. Attitude determination algorithms were supplanted by the Gaussian attitude estimation…

Systems and Control · Electrical Eng. & Systems 2021-01-22 Hashim A Hashim

We consider the problem of distributed attitude estimation of multi-agent systems, evolving on $SO(3)$, relying on individual angular velocity and relative attitude measurements. The interaction graph topology is assumed to be an undirected…

Systems and Control · Electrical Eng. & Systems 2024-05-17 Mouaad Boughellaba , Abdelhamid Tayebi

This paper presents a novel method for attitude estimation of an object in 3D space by incremental learning of the Long-Short Term Memory (LSTM) network. Gyroscope, accelerometer, and magnetometer are few widely used sensors in attitude…

Signal Processing · Electrical Eng. & Systems 2021-08-09 Parag Narkhede , Rahee Walambe , Shashi Poddar , Ketan Kotecha

Recently, part-based and support vector machines (SVM) based trackers have shown favorable performance. Nonetheless, the time-consuming online training and updating process limit their real-time applications. In order to better deal with…

Computer Vision and Pattern Recognition · Computer Science 2018-05-28 Zhangjian Ji , Kai Feng , Yuhua Qian

This paper tackles the problem of estimating the relative position, orientation, and velocity between a UAV and a planar platform undergoing arbitrary 3D motion during approach and landing. The estimation relies on measurements from…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Tarek Bouazza , Alessandro Melis , Soulaimane Berkane , Robert Mahony , Tarek Hamel

This paper considers the problem of optimal filtering for partially observed signals taking values on the rotation group. More precisely, one or more components are considered not to be available in the measurement of the attitude of a 3D…

Other Computer Science · Computer Science 2014-09-29 Jeremie Boulanger , Salem Said , Nicolas Le Bihan , Jonathan Manton

Inertial sensors based on micro-electromechanical systems (MEMS) technology, such as accelerometers and angular rate sensors, are cost-effective solutions used in inertial navigation systems in a broad spectrum of applications that estimate…

Robotics · Computer Science 2020-12-09 Hussein Al-Jlailaty , Mohammad M. Mansour

This paper presents four types of tracking control systems for the attitude dynamics of a rigid body. First, a smooth control system is constructed to track a given desired attitude trajectory, while guaranteeing almost semi-global…

Optimization and Control · Mathematics 2014-12-10 Taeyoung Lee

This paper presents global tracking strategies for the attitude dynamics of a rigid body. It is well known that global attractivity is prohibited for continuous attitude control systems on the special orthogonal group. Such topological…

Optimization and Control · Mathematics 2017-08-28 Taeyoung Lee , Dong-Eui Chang , Yongsoon Eun

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

Accurately estimating camera motion from image sequences poses a significant challenge in computer vision and robotics. Many computer vision methods first compute the essential matrix associated with a motion and then extract orientation…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Tarek Bouazza , Robert Mahony , Tarek Hamel

This paper considers the problem of simultaneous estimation of the attitude, position and linear velocity for vehicles navigating in a three-dimensional space. We propose two types of hybrid nonlinear observers using continuous angular…

Optimization and Control · Mathematics 2020-07-22 Miaomiao Wang , Abdelhamid Tayebi

Inertial measurement units are commonly used to estimate the attitude of moving objects. Numerous nonlinear filter approaches have been proposed for solving the inherent sensor fusion problem. However, when a large range of different…

Machine Learning · Computer Science 2021-08-11 Daniel Weber , Clemens Gühmann , Thomas Seel

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

Attitude estimation for small, low-cost unmanned aerial vehicles is often achieved using a relatively simple complementary filter that combines onboard accelerometers, gyroscopes, and magnetometer sensing. This paper explores the limits of…

Optimization and Control · Mathematics 2016-02-26 Harris Teague

Knowledge of how a body is oriented relative to the world is frequently invaluable information in the field of robotics. An attitude estimator that fuses 3-axis gyroscope, accelerometer and magnetometer data into a quaternion orientation…

Robotics · Computer Science 2018-09-28 Philipp Allgeuer , Sven Behnke

This paper presents a hybrid attitude and gyro-bias observer designed directly on the Special Orthogonal group SO(3). The proposed hybrid observer, relying on a hysteresis-based switching between two configurations, guarantees global…

Optimization and Control · Mathematics 2016-12-22 Soulaimane Berkane , Abdelkader Abdessameud , Abdelhamid Tayebi

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

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