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Related papers: Attitude Tracking for Rigid Bodies Using Vector an…

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We address the problem of attitude stabilization of a rigid body, in which neither the angular velocity nor the instantaneous measurements of the attitude are used in the feedback, only body vector measurements are needed. The design of the…

Optimization and Control · Mathematics 2015-01-21 L. Benziane , A. Benallegue , Y. Chitour , A. Tayebi

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 considers the problem of nonlinear attitude estimation for a rigid body system using intermittent and multi-rate inertial vector measurements as well as continuous (high-rate) angular velocity measurements. Two types of hybrid…

Systems and Control · Electrical Eng. & Systems 2024-01-09 Miaomiao Wang , Abdelhamid Tayebi

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

This paper provides new results for a 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 complexities and…

Optimization and Control · Mathematics 2010-10-11 Taeyoung Lee

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

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 addresses the global exponential attitude tracking of a spacecraft when gyro measurements are corrupted by bias. Based on contraction analysis, an exponentially convergent nonlinear observer is designed first to estimate the gyro…

Systems and Control · Electrical Eng. & Systems 2020-07-09 Eduardo Espíndola-López , Yu Tang Xu

Two nonlinear observers for velocity-aided attitude estimation, relying on gyrometers, accelerometers, magnetometers, and velocity measured in the body-fixed frame, are proposed. As opposed to state-of-the-art body-fixed velocity-aided…

Optimization and Control · Mathematics 2014-11-17 Minh-Duc Hua , Philippe Martin , Tarek Hamel

This paper addresses the attitude tracking of a rigid body using a quaternion description. Global finite-time attitude controllers are designed with three types of measurements, namely, full states, attitude plus constant-biased angular…

Optimization and Control · Mathematics 2017-12-12 Haichao Gui , George Vukovich

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

This paper addresses the problem of estimating the attitude of a rigid body, which is subject to high accelerations and equipped with inertial measurement unit (IMU) and sensors providing the body velocity (expressed in the reference frame…

Optimization and Control · Mathematics 2020-02-25 Mehdi Benallegue , Abdelaziz Benallegue , Rafael Cisneros , Yacine Chitour

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 investigates the problem of continuous attitude estimation on $SO(3)$ using continuous angular velocity and linear acceleration measurements as well as intermittent linear velocity and inertial vector measurements. First, we…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Miaomiao Wang , Abdelhamid Tayebi

This paper studies a rigid body attitude tracking control problem with attitude measurements only, when angular velocity measurements are not available. An angular velocity observer is constructed such that the estimated angular velocity is…

Optimization and Control · Mathematics 2015-03-26 Tse-Huai Wu , Taeyoung Lee

In various applications of land vehicle navigation and automatic guidance systems, Global Navigation Satellite System/Inertial Measurement Unit (GNSS/IMU) positioning performance crucially depends on the attitude determination accuracy…

Systems and Control · Computer Science 2015-05-27 Vasiliy M. Tereshkov

We propose a simple nonlinear observer for estimating the attitude and velocity of a rigid body from the measurements of specific acceleration, angular velocity, magnetic field (in body axes), and linear velocity (in body axes). It is…

Optimization and Control · Mathematics 2016-08-29 Philippe Martin , Ioannis Sarras , Minh-Duc Hua , Tarek Hamel

Accurate and robust attitude estimation is a central challenge for autonomous vehicles operating in GNSS-denied or highly dynamic environments. In such cases, Inertial Measurement Units (IMUs) alone are insufficient for reliable tilt…

Robotics · Computer Science 2025-09-18 Méloné Nyoba Tchonkeu , Soulaimane Berkane , Tarek Hamel

This paper addresses the problem of estimating the attitude and angular velocity of a rigid object by exploiting its second order kinematic model. The approach is particularly useful in cases where angular velocity measurements are not…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Yonhon Ng , Pieter van Goor , Robert Mahony , 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
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