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A deterministic attitude estimation problem for a rigid body in an attitude dependent potential field with bounded measurement errors is studied. An attitude estimation scheme that does not use generalized coordinate representations of the…

Optimization and Control · Mathematics 2016-11-15 Taeyoung Lee , Amit K. Sanyal , Melvin Leok , N. Harris McClamroch

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

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

A global model is presented that can be used to study attitude maneuvers of a rigid spacecraft in a circular orbit about a large central body. The model includes gravity gradient effects that arise from the non-uniform gravity field and…

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

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

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

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 hand-eye measurements have recently been proven to be very efficient for spacecraft attitude determination relative to an ellipsoidal asteroid. However, recent method does not guarantee full attitude observability for all conditions.…

Systems and Control · Electrical Eng. & Systems 2020-03-26 Jin Wu

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

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 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 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

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 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

A continuous solution is proposed to the problem of uniform global exponential estimation of the angular velocity for rigid bodies by means of direct attitude measurements. The proposed observer is designed on…

Optimization and Control · Mathematics 2016-11-17 Ioannis Sarras

This paper proposes a dynamic analytical initialization method for spacecraft attitude estimators. In the proposed method, the desired attitude matrix is decomposed into two parts: one is the constant attitude matrix at the very start and…

Robotics · Computer Science 2017-06-22 Lubin Chang , Fangjun Qin

Relative attitude formation control systems are developed for multiple spacecraft, based on the line-of-sight measurements between spacecraft in formation. The proposed control systems are unique in the sense that they do not require…

Optimization and Control · Mathematics 2012-09-14 Tse-Huai Wu , Taeyoung Lee

Air-bearing platforms for simulating the rotational dynamics of satellites require highly precise ground truth systems. Unfortunately, commercial motion capture systems used for this scope are complex and expensive. This paper shows a novel…

Robotics · Computer Science 2023-12-14 Fabio Ornati , Gianfranco Di Domenico , Paolo Panicucci , Francesco Topputo

This paper addresses the leader-following attitude consensus problem for a group of spacecraft when at least one follower can access the leader's attitude and velocity relative to the inertial space. A nonlinear distributed observer is…

Optimization and Control · Mathematics 2020-09-15 Haichao Gui , Anton H. J. de Ruiter
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