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Parallel kinematic manipulators (PKM) are characterized by closed kinematic loops, due to the parallel arrangement of limbs but also due to the existence of kinematic loops within the limbs. Moreover, many PKM are built with limbs…

Robotics · Computer Science 2024-12-19 Andreas Mueller

This paper presents a reactive controller for planar manipulation tasks that leverages machine learning to achieve real-time performance. The approach is based on a Model Predictive Control (MPC) formulation, where the goal is to find an…

Robotics · Computer Science 2018-09-05 Francois Robert Hogan , Eudald Romo Grau , Alberto Rodriguez

This paper presents an optimization approach for generating custom manipulator configurations using a proposed unconventional modular library. An end-to-end solution is presented in which the resulting optimal models of the modular…

Robotics · Computer Science 2023-05-16 Anubhav Dogra , Srikant Sekhar Padhee , Ekta Singla

The Orthoglide project aims at designing a new 3-axis machine tool for High Speed Machining. Basis kinematics is a 3 degree-of-freedom translational parallel mechanism. This basis was submitted to isotropic and manipulability constraints…

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

The configuration manifolds of parallel manipulators exhibit more nonlinearity than serial manipulators. Qualitatively, they can be seen to possess extra folds. By projecting such manifolds onto spaces of engineering relevance, such as an…

Robotics · Computer Science 2022-09-23 Parker B. Edwards , Aravind Baskar , Caroline Hills , Mark Plecnik , Jonathan D. Hauenstein

The alignment of optical systems is a critical step in their manufacture. Alignment normally requires considerable knowledge and expertise of skilled operators. The automation of such processes has several potential advantages, but requires…

3-manifolds are commonly represented as triangulations, consisting of abstract tetrahedra whose triangular faces are identified in pairs. The combinatorial sparsity of a triangulation, as measured by the treewidth of its dual graph, plays a…

Computational Geometry · Computer Science 2026-03-13 Kristóf Huszár , Clément Maria

Considering the difficulty of students in calculating the direct and inverse kinematics of a robotic manipulator using only conventional tools of a classroom, this article proposes the application of Project Based Learning (ABP) through the…

This paper presents a new technique for the design of approximate reasoning based controllers for dynamic physical systems with interacting goals. In this approach, goals are achieved based on a hierarchy defined by a control knowledge base…

Artificial Intelligence · Computer Science 2013-04-05 Hamid R. Berenji , Yung-Yaw Chen , Chuen-Chien Lee , Jyh-Shing Jang , S. Murugesan

In order for a bimanual robot to manipulate an object that is held by both hands, it must construct motion plans such that the transformation between its end effectors remains fixed. This amounts to complicated nonlinear equality…

Robotics · Computer Science 2024-03-15 Thomas Cohn , Seiji Shaw , Max Simchowitz , Russ Tedrake

This paper develops a robust angles-only IROD method based on polynomial optimization for arbitrary nonlinear dynamics. First, the relative motion is approximated by high-order Taylor polynomials within the differential algebra framework,…

Instrumentation and Methods for Astrophysics · Physics 2026-04-28 Xingyu Zhou , Malcolm Macdonald , Roberto Armellin , Dong Qiao , Xiangyu Li

The paper addresses geometric aspects of a spatial three-degree-of-freedom parallel module, which is the parallel module of a hybrid serial-parallel 5-axis machine tool. This parallel module consists of a moving platform that is connected…

Robotics · Computer Science 2007-07-06 Daniel Kanaan , Philippe Wenger , Damien Chablat

Parallel manipulators, also called parallel kinematics machines (PKM), enable robotic solutions for highly dynamic handling and machining applications. The safe and accurate design and control necessitates high-fidelity dynamics models.…

Robotics · Computer Science 2024-12-19 Andreas Mueller

In this work, following the Discrete de Rham (DDR) paradigm, we develop an arbitrary-order discrete divdiv complex on general polyhedral meshes. The construction rests 1) on discrete spaces that are spanned by vectors of polynomials whose…

Numerical Analysis · Mathematics 2024-09-13 Daniele A. Di Pietro , Marien-Lorenzo Hanot

We consider a method of pairwise variations for smooth optimization problems, which involve polyhedral constraints. It consists in making steps with respect to the difference of two selected extreme points of the feasible set together with…

Optimization and Control · Mathematics 2017-01-12 I. V. Konnov

The paper is devoted to the geometrical calibration of industrial robots employed in precise manufacturing. To identify geometric parameters, an advanced calibration technique is proposed that is based on the non-linear experiment design…

Robotics · Computer Science 2012-11-29 Alexandr Klimchik , Anatol Pashkevich , Yier Wu , Benoît Furet , Stéphane Caro

A basic task in the design of an industrial robot application is the relative placement of robot and workpiece. Process points are defined in Cartesian coordinates relative to the workpiece coordinate system, and the workpiece has to be…

Robotics · Computer Science 2023-02-21 Martin G. Weiß

This paper presents a methodology to construct a divergence-free polynomial basis of an arbitrary degree in a simplex (triangles in 2D and tetrahedra in 3D) of arbitrary dimension. It allows for fast computation of all numerical solutions…

Numerical Analysis · Mathematics 2022-06-17 Sreevatsa Anantharamu , Krishnan Mahesh

The purpose of this paper is to construct universal, auto--adaptive, localized, linear, polynomial (-valued) operators based on scattered data on the (hyper--)sphere $\SS^q$ ($q\ge 2$). The approximation and localization properties of our…

Numerical Analysis · Mathematics 2008-11-11 Q. T. Le Gia , H. N. Mhaskar

Parallel implementation of numerical adaptive mesh refinement (AMR)strategies for solving 3D elastostatic contact mechanics problems is an essential step toward complex simulations that exceed current performance levels. This paper…

Numerical Analysis · Mathematics 2025-11-26 Alexandre Epalle , Isabelle Ramière , Guillaume Latu , Frédéric Lebon
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