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In a recent paper, a new method was proposed to find the common invariant subspaces of a set of matrices. This paper invstigates the more general problem of putting a set of matrices into block triangular or block-diagonal form…

General Mathematics · Mathematics 2024-08-29 Ahmad Y. Al-Dweik , Ryad Ghanam , Gerard Thompson , M. T. Mustafa

Inverse kinematics is a fundamental technique for motion and positioning control in robotics, typically applied to end-effectors. In this paper, we extend the concept of inverse kinematics to guiding vector fields for path following in…

Robotics · Computer Science 2025-02-25 Yu Zhou , Jesús Bautista , Weijia Yao , Héctor García de Marina

This paper proposes a novel modelling approach for a heavy-duty manipulator with parallel$-$serial structures connected in series. Each considered parallel$-$serial structure contains a revolute segment with rigid links connected by a…

Robotics · Computer Science 2022-01-11 Goran R. Petrović , Jouni Mattila

Solving the inverse kinematics problem is a fundamental challenge in motion planning, control, and calibration for articulated robots. Kinematic models for these robots are typically parametrized by joint angles, generating a complicated…

Robotics · Computer Science 2023-12-12 Filip Marić , Matthew Giamou , Adam W. Hall , Soroush Khoubyarian , Ivan Petrović , Jonathan Kelly

This paper aims to develop an approach for the reconfiguration of a parallel kinematic manipulator (PKM) with four degrees of freedom (DoF) designed to tackle tasks of diagnosis and rehabilitation in an injured knee. The original layout of…

Numerical methods for Inverse Kinematics (IK) employ iterative, linear approximations of the IK until the end-effector is brought from its initial pose to the desired final pose. These methods require the computation of the Jacobian of the…

Robotics · Computer Science 2023-08-08 Jacket Demby's , Jeffrey Uhlmann , Guilherme N. DeSouza

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

In industrial context, admittance control represents an important scheme in programming robots for interaction tasks with their environments. Those robots usually implement high-gain disturbance rejection on joint-level and hide direct…

Robotics · Computer Science 2020-09-28 Stefan Scherzinger , Arne Roennau , Rüdiger Dillmann

This paper evaluates how laminated techniques may be used to replicate the performance of more traditionally manufactured robotic manipulators. In this case study, we introduce a laminated 2-DOF spherical, parallel manipulator. Taking…

Robotics · Computer Science 2018-10-12 Mohammad Sharifzadeh , Roozbeh Khodambashi , Daniel Aukes

In this paper a new asymmetric 3-translational (3T) parallel manipulator, i.e., RPa(3R) 2R+RPa, with zero coupling degree and decoupled motion is firstly proposed according to topology design theory of parallel mechanism (PM) based on…

Robotics · Computer Science 2018-05-24 Huiping Shen , Chengqi Wu , Damien Chablat , Guang Wu , Ting-Li Yang

Robotic manipulators are often designed with more actuated degrees-of-freedom than required to fully control an end effector's position and orientation. These "redundant" manipulators can allow infinite joint configurations that satisfy a…

Robotics · Computer Science 2023-08-30 Julia Ashkanazy , Ariana Spalter , Joe Hays , Laura Hiatt , Roxana Leontie , C. Glen Henshaw

In recent years, the integration of additive manufacturing (AM) and industrial robotics has opened new perspectives for the production of complex components, particularly in the automotive sector. Robot-assisted additive manufacturing…

Robotics · Computer Science 2026-04-03 Alessandro Dimauro , Davide Tebaldi , Fabio Pini , Luigi Biagiotti , Francesco Leali

We present a novel general model that unifies the kinematics of constant curvature and constant twist continuum manipulators. Combining this kinematics with energy-based physics, we derive a linear mapping from actuator configuration to…

Robotics · Computer Science 2023-02-24 Bill Fan , Farhan Rozaidi , Capprin Bass , Gina Olson , Melinda Malley , Ross L Hatton

To design efficient parallel algorithms, some recent papers showed that many sequential iterative algorithms can be directly parallelized but there are still challenges in achieving work-efficiency and high-parallelism. Work-efficiency can…

Data Structures and Algorithms · Computer Science 2022-05-27 Zheqi Shen , Zijin Wan , Yan Gu , Yihan Sun

This paper describes the workspace and the inverse and direct kinematic analysis of the VERNE machine, a serial/parallel 5-axis machine tool designed by Fatronik for IRCCyN. This machine is composed of a three-degree-of-freedom (DOF)…

Robotics · Computer Science 2007-07-25 Daniel Kanaan , Philippe Wenger , Damien Chablat

This paper proposes a new, robust method to solve the inverse kinematics (IK) of multi-segment continuum manipulators. Conventional Jacobian-based solvers, especially when initialized from neutral/rest configurations, often exhibit slow…

Robotics · Computer Science 2026-04-03 Weiting Feng , Federico Renda , Yunjie Yang , Francesco Giorgio-Serchi

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 describes a unified method solving for inverse, forward, and hybrid dynamics problems for robotic manipulators with either open kinematic chains or closed kinematic loops based on factor graphs. Manipulator dynamics is considered…

Robotics · Computer Science 2020-05-27 Mandy Xie , Frank Dellaert

Parallel robots (PRs) have singular configurations where the robot gains at least one degree of freedom and loses control. Theoretically, such singularity occurs when the Forward Jacobian-matrix determinant becomes zero (Type II). However,…

Convergence of operators acting on a given Hilbert space is an old and well studied topic in operator theory. The idea of introducing a related notion for operators acting on arying spaces is natural. However, it seems that the first…

Functional Analysis · Mathematics 2014-01-17 Delio Mugnolo , Robin Nittka , Olaf Post