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This paper addresses the problem of simultaneous estimation of the position, linear velocity and orientation of a rigid body using single bearing measurements. We introduce a Riccati observer-based estimator that fuses measurements from a…

Systems and Control · Electrical Eng. & Systems 2024-03-20 Sifeddine Benahmed , Soulaimane Berkane

This paper presents a new geometric adaptive control system with state inequality constraints for the attitude dynamics of a rigid body. The control system is designed such that the desired attitude is asymptotically stabilized, while the…

Optimization and Control · Mathematics 2016-02-16 Shankar Kulumani , Christopher Poole , Taeyoung Lee

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 revisits the previously proposed linear asymptotic observer of the motion state variables with nonlinear friction and provides a robust design suitable for both, transient presliding and steady-state sliding phases of the…

Systems and Control · Electrical Eng. & Systems 2023-05-26 Michael Ruderman

This paper presents solutions to the following two common quaternion attitude estimation problems: (i) estimation of attitude using measurement of two reference vectors, and (ii) estimation of attitude using rate measurement and measurement…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Yujendra Mitikiri , Kamran Mohseni

The rigid body attitude estimation problem is treated using the discrete-time Lagrange-d'Alembert principle. Three different possibilities are considered for the multi-rate relation between angular velocity measurements and direction vector…

Systems and Control · Electrical Eng. & Systems 2022-06-20 Maulik Bhatt , Amit K. Sanyal , Srikant Sukumar

A symmetry-preserving, reduced-order state observer is presented for the unmeasured part of a system's state, where the nonlinear system dynamics exhibit symmetry under the action of a Lie group. Leveraging this symmetry with a moving…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Jeremy W. Hopwood , Craig A. Woolsey

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

Motivated by the study of an important data set for understanding the large-scale structure of the universe, this work considers the estimation of the reduced second moment function, or K-function, of a stationary point process observed…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Michael L. Stein , Jean M. Quashnock , Ji Meng Loh

This paper presents a method for determining spacecraft angular rates using event-based camera sensing. This is achieved by analyzing the temporal distribution of brightness events triggered by the apparent motion of stars. The location and…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Vittorio Franzese , Matteo El Hariry

The design of a globally convergent position observer for feature points from visual information is a challenging problem, especially for the case with only inertial measurements and without assumptions of uniform observability, which…

Systems and Control · Electrical Eng. & Systems 2022-04-15 Bowen Yi , Chi Jin , Ian R. Manchester

This report proposes a discrete time observer for the continuous time rigid body kinematics on the rotation group $\mathbb{S}\mathbb{O}(3)$. The work draws on two research schools - one by Chang based on feedback integrators for systems…

Systems and Control · Electrical Eng. & Systems 2019-08-02 Soham Shanbhag , Ravi Banavar

Odometer-aided visual-inertial SLAM systems typically have a good performance for navigation of wheeled platforms, while they usually suffer from degenerate cases before the first turning. In this paper, firstly we perform an observability…

Robotics · Computer Science 2021-02-23 Jinxu Liu , Wei Gao , Zhanyi Hu

This paper presents a novel approach to the problem of almost global attitude stabilization. The reduced attitude is steered along a geodesic path on the n-sphere. Meanwhile, the full attitude is stabilized on SO(n). This action,…

Optimization and Control · Mathematics 2017-02-21 Johan Markdahl , Jens Hoppe , Lin Wang , Xiaoming Hu

In this paper, we propose the "Kinetics Observer", a novel estimator addressing the challenge of state estimation for legged robots using proprioceptive sensors (encoders, IMU and force/torque sensors). Based on a Multiplicative Extended…

Real-time motion tracking of kinematic chains is a key prerequisite in the control of, e.g., robotic actuators and autonomous vehicles and also has numerous biomechanical applications. In recent years, it has been shown that, by placing…

Systems and Control · Electrical Eng. & Systems 2022-06-07 Manon Kok , Karsten Eckhoff , Ive Weygers , Thomas Seel

Most of the advanced control systems use sensor-based feedback for robust control. Tilt angle estimation is key feedback for many robotics and mechatronics applications in order to stabilize a system. Tilt angle cannot be directly measured…

Robotics · Computer Science 2024-09-02 Anandhu Suresh , Karnam Venkata Manga Raju

Smartphones equipped with sensors such as accelerometers, gyroscopes, and magnetometers offer valuable opportunities for physics education, allowing students to measure motion using their own devices. However, commonly used applications…

Physics Education · Physics 2026-03-06 Keita Nishioka , Yasuhiro Tanaka

We present a novel algorithm for online, real-time orientation estimation. Our algorithm integrates gyroscope data and corrects the resulting orientation estimate for integration drift using accelerometer and magnetometer data. This…

Signal Processing · Electrical Eng. & Systems 2019-10-02 Manon Kok , Thomas B. Schön

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
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