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The paper derives the inverse and the forward kinematic equations of a serial - parallel 5-axis machine tool: the VERNE machine. This machine is composed of a three-degree-of-freedom (DOF) parallel module and a two-DOF serial tilting table.…

Robotics · Computer Science 2008-12-01 Daniel Kanaan , Philippe Wenger , Damien Chablat

Presented in this paper is the kinematic analysis of a symmetrical three-degree-of-freedom planar parallel manipulator. In opposite to serial manipulators, parallel manipulators can admit not only multiple inverse kinematic solutions, but…

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

Recursive matrix relations for the complete dynamics of a 3-PRP planar parallel robot are established in this paper. Three identical planar legs connecting to the moving platform are located in the same vertical plane. Knowing the motion of…

Robotics · Computer Science 2012-09-13 Stefan Staicu , Damien Chablat

The paper proposes a novel approach for the geometrical model calibration of quasi-isotropic parallel kinematic mechanisms of the Orthoglide family. It is based on the observations of the manipulator leg parallelism during motions between…

Robotics · Computer Science 2009-11-02 Anatoly Pashkevich , Damien Chablat , Philippe Wenger , Roman Gomolitsky

This article presents a new three-degree-of-freedom (3-DOF) parallel mechanism (PM) with two translations and one rotation (2T1R), designed based on the topological design theory of the parallel mechanism using position and orientation…

Robotics · Computer Science 2023-06-23 Huiping Shen , Zhongqiu Du , Damien Chablat , Ju Li , Guanglei Wu

The development of efficient and robust dynamic models is fundamental in the field of systems and control engineering. In this paper, a new formulation for the dynamic model of nonlinear mechanical systems, that can be applied to different…

Systems and Control · Electrical Eng. & Systems 2026-02-09 Davide Tebaldi , Roberto Zanasi

This paper describes a new parallel kinematic architecture for machining applications: the orthoglide. This machine features three fixed parallel linear joints which are mounted orthogonally and a mobile platform which moves in the…

Robotics · Computer Science 2007-07-26 Philippe Wenger , Damien Chablat

The paper proposes a novel approach for the geometrical model calibration of quasi-isotropic parallel kinematic mechanisms of the Orthoglide family. It is based on the observations of the manipulator leg parallelism during motions between…

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

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 describes a new parallel kinematic architecture for machining applications, namely, the orthoglide. This machine features three fixed parallel linear joints which are mounted orthogonally and a mobile platform which moves in the…

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

The paper presents a novel modular hybrid parallel robot for pancreatic surgery and its higher-order kinematics derived based on various formalisms. The classical vector, homogeneous transformation matrices and dual quaternion approaches…

Robotics · Computer Science 2025-03-31 Calin Vaida , Iosif Birlescu , Bogdan Gherman , Daniel Condurache , Damien Chablat , Doina Pisla

In this paper, derivation of different forms of dynamic formulation of spherical parallel robots (SPRs) is investigated. These formulations include the explicit dynamic forms, linear regressor, and Slotine-Li (SL) regressor, which are…

Robotics · Computer Science 2021-10-04 Ali Hassani , Abbas Bataleblu , S. A. Khalilpour , Hamid D. Taghirad , Philippe Cardou

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

This paper discusses online algorithms for inverse dynamics modelling in robotics. Several model classes including rigid body dynamics (RBD) models, data-driven models and semiparametric models (which are a combination of the previous two…

Machine Learning · Computer Science 2018-09-14 Diego Romeres , Mattia Zorzi , Raffaello Camoriano , Silvio Traversaro , Alessandro Chiuso

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 presents an alternative way to the dynamic modeling of a rotational inverted pendulum using the classic mechanics known as Euler-Lagrange allows to find motion equations that describe our model. It also has a design of the basic…

Chaotic Dynamics · Physics 2017-04-11 J. L. Duarte , B. Montero , P. A. Ospina-Henao , E. Gonzalez

This paper addresses the workspace analysis of the orthoglide, a 3-DOF parallel mechanism designed for machining applications. This machine features three fixed parallel linear joints which are mounted orthogonally and a mobile platform…

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

This paper deals with the kinematics and dynamics of a two degree of freedom spherical manipulator, the wrist of Orthoglide 5-axis. The latter is a parallel kinematics machine composed of two manipulators: i) the Orthoglide 3-axis; a…

Robotics · Computer Science 2009-04-02 Raza Ur-Rehman , Stéphane Caro , Damien Chablat , Philippe Wenger

The paper proposes a novel calibration approach for the Orthoglide-type mechanisms based on observations of the manipulator leg parallelism during mo-tions between the prespecified test postures. It employs a low-cost measuring system…

Robotics · Computer Science 2007-11-13 Anatoly Pashkevich , Damien Chablat , Philippe Wenger

Bipedal robots are essentially unstable because of their complex kinematics as well as high dimensional state space dynamics, hence control and generation of stable walking is a complex subject and still one of the active topics in the…

Robotics · Computer Science 2019-06-06 Mohammadreza Kasaei , Nuno Lau , Artur Pereira