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This paper proposes a method to estimate the pose of a sensor mounted on a vehicle as the vehicle moves through the world, an important topic for autonomous driving systems. Based on a set of commonly deployed vehicular odometric sensors,…

This paper presents a novel Luenberger-style observer for robot manipulators with position measurements. Under the assumption that the state evolutions that are to be observed have bounded velocities, it is shown that the origin of the…

Optimization and Control · Mathematics 2007-05-23 Fabio Celani

This paper introduces a new approach to 3-D position estimation from acceleration data, i.e., a 3-D motion tracking system having a small size and low-cost magnetic and inertial measurement unit (MIMU) composed by both a digital compass and…

Robotics · Computer Science 2013-11-20 P. Neto , J. N. Pires , A. P Moreira

Relying on the equivalence principle, a first approach of the general theory of relativity is presented using the spacetime metric of an observer with a constant proper acceleration. Within this non inertial frame, the equation of motion of…

Physics Education · Physics 2007-05-23 Claude Semay

Stability proof of the controller proposed in the conference paper "Attitude and Angular Velocity Tracking for a Rigid Body using Geometric Methods on the Two-Sphere", DOI: 10.1109/ECC.2015.7331033. This proof must be studied together with…

Optimization and Control · Mathematics 2018-11-13 Michalis Ramp , Evangelos Papadopoulos

In this paper we propose a novel method for estimating rigid body motion by modeling the object state directly in the space of the rigid body motion group SE(2). It has been recently observed that a noisy manoeuvring object in SE(2)…

Robotics · Computer Science 2017-08-21 Josip Cesic , Ivan Markovic , Ivan Petrovic

This paper proposes a strategy to estimate the velocity and position of neighbor agents using distance measurements only. Since with agents executing arbitrary motions, instantaneous distance-only measurements cannot provide enough…

Systems and Control · Computer Science 2016-11-18 Bomin Jiang , Mohammad Deghat , Brian D. O. Anderson

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

In this paper, a novel image moments based model for shape estimation and tracking of an object moving with a complex trajectory is presented. The camera is assumed to be stationary looking at a moving object. Point features inside the…

Image and Video Processing · Electrical Eng. & Systems 2018-04-13 Gang Yao , Ashwin Dani

Modular robots have been rising in popularity for a variety of applications, and autonomous midair docking is a necessary task for real world deployment of these robots. We present a state estimator based on the extended Kalman filter for…

Robotics · Computer Science 2020-11-12 Karan P. Jain , Minos Park , Mark W. Mueller

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

Two novel robust nonlinear stochastic full pose (i.e, attitude and position) estimators on the Special Euclidean Group SE(3) are proposed using the available uncertain measurements. The resulting estimators utilize the basic structure of…

Systems and Control · Electrical Eng. & Systems 2021-11-22 Hashim A Hashim , Frank L Lewis

Accurately estimating camera motion from image sequences poses a significant challenge in computer vision and robotics. Many computer vision methods first compute the essential matrix associated with a motion and then extract orientation…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Tarek Bouazza , Robert Mahony , Tarek Hamel

A novel approach to the problem of partial state estimation of nonlinear systems is proposed. The main idea is to translate the state estimation problem into one of estimation of constant, unknown parameters related to the systems initial…

Systems and Control · Computer Science 2016-04-08 Ortega Romeo , Bobtsov Alexey , Pyrkin Anton , Aranovskiy Stanislav

Attitude tracking on the unit sphere of dimension $3$ based on sliding mode is considered in this paper. The tangent bundle of Lagrangian dynamics that describes the rotational motion of a rigid body is first shown to be a Lie group, and…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Eduardo Espindola , Yu Tang

We propose a novel second-order ODE as the continuous-time limit of a Riemannian accelerated gradient-based method on a manifold with curvature bounded from below. This ODE can be seen as a generalization of the ODE derived for Euclidean…

Optimization and Control · Mathematics 2020-03-10 Foivos Alimisis , Antonio Orvieto , Gary Bécigneul , Aurelien Lucchi

We present a framework of elastic locomotion, which allows users to enliven an elastic body to produce interesting locomotion by prescribing its high-level kinematics. We formulate this problem as an inverse simulation problem and seek the…

Graphics · Computer Science 2024-05-24 Siyuan Shen , Tianjia Shao , Kun Zhou , Chenfanfu Jiang , Sheldon Andrews , Victor Zordan , Yin Yang

Dynamic components of the friction may directly impact the stability and performance of the motion control systems. The LuGre model is a prevalent friction model utilized to express this dynamic behavior. Since the LuGre model is very…

Systems and Control · Electrical Eng. & Systems 2025-01-10 Caner Odabaş , Ömer Morgül

Methods tackling multi-object tracking need to estimate the number of targets in the sensing area as well as to estimate their continuous state. While the majority of existing methods focus on data association, precise state (3D pose)…

Computer Vision and Pattern Recognition · Computer Science 2019-10-11 Johannes Groß , Aljosa Osep , Bastian Leibe

In this paper, we investigate the attitude tracking problem of uncertain flexible spacecraft systems subject to external disturbances. In sharp contrast to existing results, the dynamics of flexible spacecraft systems and external…

Optimization and Control · Mathematics 2024-03-20 Zean Bao , Maobin Lu , Fang Deng , Jie Chen