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Related papers: Velocity-aided Attitude Estimation for Accelerated…

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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

Attitude determination using the smartphone's inertial sensors poses a major challenge due to the sensor low-performance grade and variate nature of the walking pedestrian. In this paper, data-driven techniques are employed to address that…

Signal Processing · Electrical Eng. & Systems 2022-09-13 Eran Vertzberger , Itzik Klein

We propose a 12-dimensional, global, continuous, and exponentially convergent observer for gyro bias and attitude of a rigid body. Any attitude observer developed on the special orthogonal group suffers from the topological restriction that…

Optimization and Control · Mathematics 2019-09-24 Dong Eui Chang , Taeyoung Lee

The control task of tracking a reference pointing direction (the attitude about the pointing direction is irrelevant) while obtaining a desired angular velocity (PDAV) around the pointing direction using geometric techniques is addressed…

Optimization and Control · Mathematics 2019-01-04 Michalis Ramp , Evangelos Papadopoulos

We propose a new position control strategy for VTOL-UAVs using IMU and GPS measurements. Since there is no sensor that measures the attitude, our approach does not rely on the knowledge (or reconstruction) of the system orientation as…

Optimization and Control · Mathematics 2012-03-22 Andrew Roberts , Abdelhamid Tayebi

Accurate velocity estimation is critical in mobile robotics, particularly for driver assistance systems and autonomous driving. Wheel odometry fused with Inertial Measurement Unit (IMU) data is a widely used method for velocity estimation;…

Robotics · Computer Science 2025-05-19 Liam Boyle , Jonas Kühne , Nicolas Baumann , Niklas Bastuck , Michele Magno

We demonstrate that, under orthographic projection and with a camera fixated on a point located on a rigid body, the rotation of that body can be analytically obtained by tracking only one other feature in the image. With some exceptions,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Daniel Raviv , Juan D. Yepes , Eiki M. Martinson

A geometric nonlinear observer algorithm for Simultaneous Localization and Mapping (SLAM) developed on the Lie group of \mathbb{SLAM}_{n}\left(3\right) is proposed. The presented novel solution estimates the vehicle's pose (i.e. attitude…

Systems and Control · Electrical Eng. & Systems 2020-09-25 Hashim A. Hashim

Accurate state estimation for flexible robotic systems poses significant challenges, particularly for platforms with dynamically deforming structures that invalidate rigid-body assumptions. This paper addresses this problem and enables the…

Robotics · Computer Science 2026-04-29 Jiaxin Liu , Min Li , Wanting Xu , Liang Li , Jiaqi Yang , Laurent Kneip

In this work, asymptotically stable state estimation schemes are proposed for rigid body motion, using the framework of geometric mechanics. Rigorous stability analyses of the estimation schemes presented here guarantee the nonlinear…

Optimization and Control · Mathematics 2015-10-20 Maziar Izadi

A globally exponentially stable speed observer for mechanical systems was recently reported in the literature, under the assumptions of known (or no) Coulomb friction and no disturbances. In this note we propose and adaptive version of this…

Dynamical Systems · Mathematics 2015-01-06 Jose Guadalupe Romero , Romeo Ortega

Assistive visual navigation systems for visually impaired individuals have become increasingly popular thanks to the rise of mobile computing. Most of these devices work by translating visual information into voice commands. In complex…

Computer Vision and Pattern Recognition · Computer Science 2024-12-18 Hao Wang , Jiayou Qin , Xiwen Chen , Ashish Bastola , John Suchanek , Zihao Gong , Abolfazl Razi

We derive the metric of an accelerating observer moving with non-constant proper acceleration in flat spacetime. With the exception of a limiting case representing a Rindler observer, there are no horizons. In our solution, observers can…

General Relativity and Quantum Cosmology · Physics 2015-02-19 Alaric Doria , Gerardo Munoz

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

Stable estimation of rigid body pose and velocities from noisy measurements, without any knowledge of the dynamics model, is treated using the Lagrange-d'Alembert principle from variational mechanics. With body-fixed optical and inertial…

Optimization and Control · Mathematics 2015-09-17 Maziar Izadi , Amit Kumar Sanyal , Ernest Barany , Sasi Prabhakaran Viswanathan

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

Stable estimation of rigid body pose and velocities from noisy measurements, without any knowledge of the dynamics model, is treated using the Lagrange-d'Alembert principle from variational mechanics. With body-fixed optical and inertial…

Optimization and Control · Mathematics 2015-09-16 Maziar Izadi , Amit Kumar Sanyal

Relative pose estimation between fixed-wing unmanned aerial vehicles (UAVs) is treated using a stable and robust estimation scheme. The motivating application of this scheme is that of "handoff" of an object being tracked from one…

Optimization and Control · Mathematics 2015-09-14 Maziar Izadi , Amit Kumar Sanyal , Randal W. Beard , He Bai

State estimation of oncoming vehicles: Earlier research has been based on determining states like position, velocity, orientation , angular velocity, etc of ego-vehicle. Our approach focuses on estimating the states of non-ego vehicles…

Robotics · Computer Science 2023-04-05 Patil Shubham Suresh , Gautham Narayan Narasimhan

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