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In this paper, we consider the general problem of obstacle avoidance based on dynamical system. The modulation matrix is developed by introducing orthogonal coordinates, which makes the modulation matrix more reasonable. The new…

Computer Vision and Pattern Recognition · Computer Science 2019-02-19 Weiya Ren

Proposed in this paper is a kinetostatic performance index for the optimum dimensioning of planar manipulators of the serial type. The index is based on the concept of distance of the underlying Jacobian matrix to a given isotropic matrix…

Robotics · Computer Science 2007-05-23 Damien Chablat , Jorge Angeles

This paper presents the kinematic analysis of the 3-PPPS parallel robot with an equilateral mobile platform and a U-shape base. The proposed design and appropriate selection of parameters allow to formulate simpler direct and inverse…

Robotics · Computer Science 2017-06-30 Damien Chablat , Luc Baron , Ranjan Jha

This work addresses the inverse kinematics of serial robots using conformal geometric algebra. Classical approaches include either the use of homogeneous matrices, which entails high computational cost and execution time or the development…

Robotics · Computer Science 2022-03-29 Isiah Zaplana , Hugo Hadfield , Joan Lasenby

Deep reinforcement learning has shown its advantages in real-time decision-making based on the state of the agent. In this stage, we solved the task of using a real robot to manipulate the cube to a given trajectory. The task is broken down…

Robotics · Computer Science 2021-12-10 Qingfeng Yao , Jilong Wang , Shuyu Yang

Modular reconfigurable manipulators enable quick adaptation and versatility to address different application environments and tailor to the specific requirements of the tasks. Task performance significantly depends on the manipulator's…

Robotics · Computer Science 2024-12-17 Maolin Lei , Edoardo Romiti , Arturo Laurenz , Nikos G. Tsagarakis

This paper investigates the existence conditions of cusp points in the design parameter space of the R\underline{P}R-2P\underline{R}R parallel manipulators. Cusp points make possible non-singular assembly-mode changing motion, which can…

Robotics · Computer Science 2010-12-14 Guillaume Inria Moroz , Damien Chablat , Philippe Wenger , Fabrice Rouiller

Despite the growing impact of Unmanned Aerial Vehicles (UAVs) across various industries, most of current available solutions lack for a robust autonomous navigation system to deal with the appearance of obstacles safely. This work presents…

Robotics · Computer Science 2025-04-23 Jorge Bes , Juan Dendarieta , Luis Riazuelo , Luis Montano

This paper addresses the workspace analysis of two 3-DOF translational parallel mechanisms designed for machining applications. The two machines features three fixed linear joints. The joint axes of the first machine are orthogonal whereas…

Robotics · Computer Science 2007-07-20 Damien Chablat , Philippe Wenger , Jean-Pierre Merlet

A new kind of six degree-of-freedom teaching manipulator without actuators is designed, for recording and conveniently setting a trajectory of an industrial robot. The device requires good gravity balance and operating force performance to…

Robotics · Computer Science 2018-02-01 Zhun Fan , Yugen You , Haodong Zheng , Guijie Zhu , Wenji Li , Shen Chen , Kalyanmoy Deb , Erik Goodman

This work investigates new kinematic features of parallel manipulators. It is well known that parallel manipulators admit generally several direct kinematic solutions for a given set of input joint values. The aim of this paper is to…

Robotics · Computer Science 2007-05-23 Philippe Wenger , Damien Chablat

This work demonstrates the multifaceted dynamic motion and three-dimensional (3D) spatial manipulation of organic micro ring resonators (MRRs). The MRRs are fabricated via surface-tension-assisted self-assembly of…

A hyper-redundant robotic arm is a manipulator with many degrees of freedom, capable of executing tasks in cluttered environments where robotic arms with fewer degrees of freedom are unable to operate. This paper introduces a new method for…

Robotics · Computer Science 2018-03-13 Marios P. Xanthidis , Kostantinos J. Kyriakopoulos , Ioannis Rekleitis

The motion of a mechanical system can be defined as a path through its configuration space. Computing such a path has a computational complexity scaling exponentially with the dimensionality of the configuration space. We propose to reduce…

Robotics · Computer Science 2018-09-17 Andreas Orthey , Olivier Roussel , Olivier Stasse , Michel Taïx

The paper addresses kinematic and geometrical aspects of the Orthoglide, a three-DOF parallel mechanism. This machine consists of three fixed linear joints, which are mounted orthogonally, three identical legs and a mobile platform, which…

Robotics · Computer Science 2007-05-23 Anatoly Pashkevich , Damien Chablat , Philippe Wenger

Computing optimal, collision-free trajectories for high-dimensional systems is a challenging problem. Sampling-based planners struggle with the dimensionality, whereas trajectory optimizers may get stuck in local minima due to inherent…

Robotics · Computer Science 2023-05-12 Thomas Cohn , Mark Petersen , Max Simchowitz , Russ Tedrake

We consider the normal matrix model with a cubic potential. The model is ill-defined, and in order to reguralize it, Elbau and Felder introduced a model with a cut-off and corresponding system of orthogonal polynomials with respect to a…

Mathematical Physics · Physics 2015-01-20 Pavel M. Bleher , Arno B. J. Kuijlaars

A quasi-Newton method with cubic regularization is designed for solving Riemannian unconstrained nonconvex optimization problems. The proposed algorithm is fully adaptive with at most ${\cal O} (\epsilon_g^{-3/2})$ iterations to achieve a…

Optimization and Control · Mathematics 2024-02-21 Mauricio S. Louzeiro , Gilson N. Silva , Jinyun Yuan , Daoping Zhang

Computing reduced-order models using non-intrusive methods is particularly attractive for systems that are simulated using black-box solvers. However, obtaining accurate data-driven models can be challenging, especially if the underlying…

Mathematical Physics · Physics 2024-01-03 Alberto Padovan , Blaine Vollmer , Daniel J. Bodony

It is known that parallel manipulators suffer from singular configurations. Evaluating the distance between a given configuration to the closest singular one is of interest for industrial applications (e.g.\ singularity-free path planning).…

Computational Geometry · Computer Science 2020-04-20 Aditya Kapilavai , Georg Nawratil