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Related papers: Velocity-aided Attitude Estimation for Accelerated…

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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

We consider the classical problem of estimating the attitude and gyro biases of a rigid body from vector measurements and a triaxial rate gyro. We propose a simple "geometry-free" nonlinear observer with guaranteed uniform global asymptotic…

Optimization and Control · Mathematics 2016-11-09 Philippe Martin , Ioannis Sarras

Rigid body systems usually consider measurements of the pose of the body using onboard cameras/LiDAR systems, that of linear acceleration using an accelerometer and of angular velocity using an IMU. However, the measurements of the linear…

Systems and Control · Electrical Eng. & Systems 2024-01-23 Soham Shanbhag , Dong Eui Chang

We propose an attitude and gyro-bias estimation scheme for accelerated rigid body systems using an inertial measurement unit (IMU) and a global positioning system (GPS). The proposed scheme allows to obtain attitude estimates directly on…

Optimization and Control · Mathematics 2017-03-17 Soulaimane Berkane , Abdelhamid Tayebi

This paper investigates the problem of attitude and air velocity estimation for fixed-wing unmanned aerial vehicles (UAVs) using IMU measurements and at least one Pitot tube measurement, with almost global asymptotic stability (AGAS)…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Melone Nyoba Tchonkeu , Soulaimane Berkane , Tarek Hamel

A deterministic attitude estimator for a rigid body under an attitude dependent potential is studied. This estimator requires only a single direction measurement to a known reference point at each measurement instant. The measurement cannot…

Optimization and Control · Mathematics 2007-05-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch , Amit K. Sanyal

This paper proposes a globally and exponentially convergent predictive observer for attitude and position estimation based on landmark measurements and velocity (angular and linear) readings. It is assumed that landmark measurements are…

Systems and Control · Computer Science 2016-05-02 Danial Senejohnny , Mehrzad Namvar

Attitude estimation is often a prerequisite for control of the attitude or orientation of mechanical systems. Current attitude estimation algorithms use coordinate representations for the group of rigid body orientations. All coordinate…

Optimization and Control · Mathematics 2007-05-23 Taeyoung Lee , Amit K. Sanyal , Melvin Leok , N. Harris McClamroch

A deterministic attitude estimation problem for a rigid body in a potential field, with bounded attitude and angular velocity measurement errors is considered. An attitude estimation algorithm that globally minimizes the attitude estimation…

Optimization and Control · Mathematics 2007-05-23 Amit K. Sanyal , Taeyoung Lee , Melvin Leok , N. Harris McClamroch

This paper investigates the estimation problem of the pose (orientation and position) and linear velocity of a rigid body, as well as the landmark positions, using an inertial measurement unit (IMU) and a monocular camera. First, we propose…

Systems and Control · Electrical Eng. & Systems 2024-07-26 Miaomiao Wang , Abdelhamid Tayebi

This paper addresses the problem of estimating the relative pose (position and orientation) and velocity of a vehicle with respect to a moving target, where both are equipped with Inertial Measurement Units (IMUs), assuming the availability…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Alessandro Melis , Tarek Bouazza , Soulaimane Berkane , Tarek Hamel

This paper deals with the problem of full state estimation for vehicles navigating in a three dimensional space. We assume that the vehicle is equipped with an Inertial Measurement Unit (IMU) providing body-frame measurements of the angular…

Optimization and Control · Mathematics 2021-02-01 Soulaimane Berkane , Abdelhamid Tayebi , Simone de Marco

In this paper, we design a nonlinear observer to estimate the inertial pose and the velocity of a free-floating non-cooperative satellite (Target) using only relative pose measurements. In the context of control design for orbital robotic…

Robotics · Computer Science 2019-11-27 Hrishik Mishra , Marco De Stefano , Alessandro Massimo Giordano , Christian Ott

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

The attitude of a rigid body evolves on the three-dimensional special orthogonal group, and it is often estimated by measuring reference directions, such as gravity or magnetic field, using an onboard sensor. As a single direction…

Optimization and Control · Mathematics 2021-07-01 Weixin Wang , Kanishke Gamagedara , Taeyoung Lee

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

The paper addresses the problem of attitude estimation for rigid bodies using (possibly time-varying) vector measurements, for which we provide a necessary and sufficient condition of distinguishability. Such a condition is shown to be…

Systems and Control · Electrical Eng. & Systems 2022-06-28 Bowen Yi , Lei Wang , Ian R. Manchester

This paper revisits the problem of orientation estimation for rigid bodies through a novel framework based on scalar measurements. Unlike traditional vector-based methods, the proposed approach enables selective utilization of only the…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Hassan Alnahhal , Sifeddine Benahmed , Soulaimane Berkane , Tarel Hamel

There are several attitude estimation algorithms in existence, all of which use local coordinate representations for the group of rigid body orientations. All local coordinate representations of the group of orientations have associated…

Optimization and Control · Mathematics 2007-05-23 Amit K. Sanyal

The existing attitude controllers (without angular velocity measurements) involve explicitly the orientation (\textit{e.g.,} the unit-quaternion) in the feedback. Unfortunately, there does not exist any sensor that directly measures the…

Optimization and Control · Mathematics 2012-03-08 A. Tayebi , A. Roberts , A. Benallegue