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This paper investigates the conditions in the design parameter space for the existence and distribution of the cusp locus for planar parallel manipulators. Cusp points make possible non-singular assembly-mode changing motion, which…

Robotics · Computer Science 2012-04-26 Montserrat Manubens , Guillaume Moroz , Damien Chablat , Philippe Wenger , Fabrice Rouillier

Workspace and joint space analysis are essential steps in describing the task and designing the control loop of the robot, respectively. This paper presents the descriptive analysis of a family of delta-like parallel robots by using…

Robotics · Computer Science 2015-05-21 R. Jha , Damien Chablat , Fabrice Rouillier , G. Moroz

Having non-singular assembly modes changing trajectories for the 3-RPS parallel robot is a well-known feature. The only known solution for defining such trajectory is to encircle a cusp point in the joint space. In this paper, the aspects…

Robotics · Computer Science 2014-03-07 Damien Chablat , Ranjan Jha , Fabrice Rouillier , Guillaume Moroz

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 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

Trajectory planning is a critical step while programming the parallel manipulators in a robotic cell. The main problem arises when there exists a singular configuration between the two poses of the end-effectors while discretizing the path…

Robotics · Computer Science 2015-05-27 Ranjan Jha , Damien Chablat , Fabrice Rouillier , Guillaume Moroz

This paper studies the kinematic geometry of general 3-RPR planar parallel robots with actuated base joints. These robots, while largely overlooked, have simple direct kinematics and large singularity-free workspace. Furthermore, their…

Robotics · Computer Science 2008-08-11 Sébastien Briot , Ilian Bonev , Damien Chablat , Philippe Wenger , Vigen Arakelian

Redundant parallel robots are normally employed in scenarios requiring good precision, high load capability, and large workspace compared to traditional parallel mechanisms. However, the elementary robotic configuration and geometric…

Robotics · Computer Science 2025-12-17 Quan Yuan , Daqian Cao , Weibang Bai

This paper demonstrates that any general 3-DOF three-legged planar parallel robot with extensible legs can change assembly modes without passing through parallel singularities (configurations where the mobile platform loses its stiffness).…

Robotics · Computer Science 2008-09-22 Ilian Bonev , Sébastien Briot , Philippe Wenger , Damien Chablat

A family of reconfigurable parallel robots can change motion modes by passing through constraint singularities by locking and releasing some passive joints of the robot. This paper is about the kinematics, the workspace and singularity…

Robotics · Computer Science 2017-08-08 Damien Chablat , Xianwen Kong , Chengwei Zhang

Effective methods are introduced for testing zero-dimensionality of varieties at a point. The motivation of this paper is to compute and analyze deformations of isolated hypersurface singularities. As an application, methods for computing…

Symbolic Computation · Computer Science 2019-04-01 Katsusuke Nabeshima , Shinichi Tajima

This paper presents a novel planning method that achieves navigation of multi-robot formations in cluttered environments, while maintaining the formation throughout the robots motion. The method utilises a decentralised approach to find…

Robotics · Computer Science 2023-07-17 Jeppe Heini Mikkelsen , Matteo Fumagalli

This paper aims to study a specific kind of parallel robot: Spherical Parallel Manipulators (SPM) that are capable of unlimited rolling. A focus is made on the kinematics of such mechanisms, especially taking into account uncertainties…

Robotics · Computer Science 2024-05-07 Alexandre Lê , Guillaume Rance , Fabrice Rouillier , Damien Chablat

The aim of this paper is to give a detailed examination of the input and output singularities of a 3-RUU parallel manipulator in the translational operation mode. This task is achieved by using algebraic constraint equations. For this type…

Robotics · Computer Science 2021-03-17 Thomas Stigger , Johannes Siegele , Daniel F. Scharler , Martin Pfurner , Manfred L. Husty

This work deals with the problem of planning conflict-free paths for mobile robots in cluttered environments. Since centralized, coupled planning algorithms are computationally intractable for large numbers of robots, we consider decoupled…

Robotics · Computer Science 2019-08-08 Wenying Wu , Subhrajit Bhattacharya , Amanda Prorok

Cuspidal robots are robots with at least two inverse kinematic solutions that can be connected by a singularity-free path. Deciding the cuspidality of generic 3R robots has been studied in the past, but extending the study to…

Symbolic Computation · Computer Science 2022-09-20 Damien Chablat , Rémi Prébet , Mohab Safey El Din , Durgesh Salunkhe , Philippe Wenger

The linearization of the equations of motion of a robotics system about a given state-input trajectory, including a controlled equilibrium state, is a valuable tool for model-based planning, closed-loop control, gain tuning, and state…

Robotics · Computer Science 2022-04-20 Martijn Bos , Silvio Traversaro , Daniele Pucci , Alessandro Saccon

The identification of dynamic parameters in mechanical systems is important for improving model-based control as well as for performing realistic dynamic simulations. Generally, when identification techniques are applied only a subset of…

Robotics · Computer Science 2026-03-17 Miguel Díaz-Rodríguez , Vicente Mata , Angel Valera , Alvaro Page

This paper investigates the cuspidal configurations of 3-RPR parallel manipulators that may appear on their singular surfaces in the joint space. Cusp points play an important role in the kinematic behavior of parallel manipulators since…

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

Increasing the degrees of freedom of robotic systems makes them more versatile and flexible. This usually renders the system kinematically redundant: the main manipulation or interaction task does not fully determine its joint maneuvers.…

Robotics · Computer Science 2023-09-08 Alin Albu-Schäffer , Arne Sachtler
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