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This paper discusses the design and the performance achievable with active aerodynamic attitude control in very low Earth orbit, i.e. below 450 km in altitude. A novel real-time algorithm is proposed for selecting the angles of deflection…

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

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

An efficient and accurate computational approach is proposed for optimal attitude control of a rigid body. The problem is formulated directly as a discrete time optimization problem using a Lie group variational integrator. Discrete…

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

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

An unbiased estimator for the ellipticity of an object in a noisy image is given in terms of the image moments. Three assumptions are made: i) the pixel noise is normally distributed, although with arbitrary covariance matrix, ii) the image…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-09 Nicolas Tessore

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

Quantifying the uncertainty of an object's pose estimate is essential for robust control and planning. Although pose estimation is a well-studied robotics problem, attaching statistically rigorous uncertainty is not well understood without…

Robotics · Computer Science 2025-11-27 Lorenzo Shaikewitz , Charis Georgiou , Luca Carlone

The topological obstructions on the attitude space of a rigid body make global asymptotic stabilization impossible using continuous state-feedback. This paper presents novel algorithms to overcome such topological limitations and achieve…

Systems and Control · Computer Science 2018-11-06 Mahathi Bhargavapuri , Soumya Ranjan Sahoo , Mangal Kothari

This paper reviews the attitude control problems for rigid-body systems, starting from the attitude representation for rigid body kinematics. Highly redundant rotation matrix defines the attitude orientation globally and uniquely by 9…

Systems and Control · Electrical Eng. & Systems 2025-09-08 Hongye Su , Dandan Zhang

This paper is focused on probabilistic estimation for the attitude dynamics of a rigid body on the special orthogonal group. We select the matrix Fisher distribution to represent the uncertainties of attitude estimates and measurements in a…

Optimization and Control · Mathematics 2016-02-11 Taeyoung Lee

A geometric estimator is proposed for the rigid body attitude under multi-rate measurements using discrete-time Lyapunov stability analysis in this work. The angular velocity measurements are assumed to be sampled at a higher rate compared…

Systems and Control · Electrical Eng. & Systems 2020-07-17 Maulik Bhatt , Srikant Sukumar , Amit K. Sanyal

This paper formulates the pose estimation problem as nonlinear stochastic filter kinematics evolved directly on the Special Euclidean Group SE(3). Proposed filter guarantees that the errors present in position and Rodriguez vector estimates…

Systems and Control · Computer Science 2019-04-30 Hashim A. Hashim , Lyndon J. Brown , Kenneth McIsaac

In computer vision, camera pose estimation from correspondences between 3D geometric entities and their projections into the image has been a widely investigated problem. Although most state-of-the-art methods exploit low-level primitives…

Computer Vision and Pattern Recognition · Computer Science 2023-06-16 Vincent Gaudillière , Gilles Simon , Marie-Odile Berger

When dealing with an orbit determination problem, uncertainties naturally arise from intrinsic errors related to observation devices and approximation models. Following the least squares method and applying approximation schemes such as the…

Chaotic Dynamics · Physics 2024-05-24 Nicola Bertozzi , Claudio Bonanno

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 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

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

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

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