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The subject of this paper is a special class of parallel manipulators. First, we analyze a family of three-degree-of-freedom manipulators. Two Jacobian matrices appear in the kinematic relations between the joint-rate and the…

Robotics · Computer Science 2007-05-23 Damien Chablat , Stéphane Caro , Philippe Wenger , Jorge Angeles

In this paper we present a framework that allows the motion control of a robotic arm automatically handling different kinds of safety-related tasks. The developed controller is based on a Task-Priority Inverse Kinematics algorithm that…

Robotics · Computer Science 2019-05-30 Paolo Di Lillo , Filippo Arrichiello , Gianluca Antonelli , Stefano Chiaverini

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

The paper proposes an integrated approach to the design optimization of parallel manipulators, which is based on the concept of the workspace grid and utilizes the goal-attainment formulation for the global optimization. To combine the…

Robotics · Computer Science 2009-09-09 Anatoly Pashkevich , Damien Chablat , Philippe Wenger

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

Parallel Kinematic Mechanisms (PKM) are interesting alternative designs for machine tools. A design method based on velocity amplification factors analysis is presented in this paper. The comparative study of two simple…

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

In this paper, we aim to introduce and characterize the concept of numerical radius orthogonality of operators on a complex Hilbert space $\mathcal{H}$ which are bounded with respect to the semi-norm induced by a positive operator $A$ on…

Functional Analysis · Mathematics 2024-08-13 Pintu Bhunia , Kais Feki , Kallol Paul

The equivalence of the Rivier-Margenau-Hill and Born-Jordan-Shankara phase space formalisms to the conventional operator approach of quantum mechanics is demonstrated. It is shown that in spite of the presence of singular kernels the…

Quantum Physics · Physics 2009-10-31 R. Sala , J. P. Palao , J , G. Muga

Continuum manipulators have gained significant attention as a promising alternative to rigid manipulators, offering notable advantages in terms of flexibility and adaptability within intricate workspace. However, the broader application of…

Robotics · Computer Science 2024-10-29 Yinan Sun , Sai Wang

The paper focuses on the redundancy resolution in kinematic control of a new type of serial manipulator composed of multiple tensegrity segments, which are moving in a multi-obstacle environment. The general problem is decomposed into two…

Robotics · Computer Science 2021-08-03 Wanda Zhao , Anatol Pashkevich , Damien Chablat

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

This paper focuses on the performance evaluation of the parallel manipulators for milling of composite materials. For this application the most significant performance measurements, which denote the ability of the manipulator for the…

Robotics · Computer Science 2010-12-10 Anatoly Pashkevich , Alexandr Klimchik , Sébastien Briot , Damien Chablat

This paper discusses null-space wrench components in parallel manipulators. We examine the adaptation of the two most common characterizations of these components in grasp-like systems, namely, interaction forces and internal loads, to…

Robotics · Computer Science 2026-05-01 Joshua Flight , Clément Gosselin

This chapter is dedicated to the so-called cuspidal robots, i.e. those robots that can move from one inverse geometric solution to another without meeting a singular confuguration. This feature was discovered quite recently and has then…

Robotics · Computer Science 2016-12-09 Philippe Wenger

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

Parallel robots (PRs) are closed-chain manipulators with diverse applications due to their accuracy and high payload. However, there are configurations within the workspace named Type II singularities where the PRs lose control of the…

Robotics · Computer Science 2024-01-18 Jose L. Pulloquinga , Rafael J. Escarabajal , Angel Valera , Marina Valles , Vicente Mata

The paper presents advancement of the matrix structural analysis technique (MSA) for stiffness modeling of robotic manipulators. In contrast to the classical MSA, it can be applied to both parallel and serial manipulators composed of…

Robotics · Computer Science 2018-05-30 Alexandr Klimchik , Damien Chablat , Anatol Pashkevich

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

We study finitely cyclic self-adjoint operators in a Hilbert space, i.e. self-adjoint operators that posses such a finite subset in the domain that the orbits of all its elements with respect to the operator are linearly dense in the space.…

Spectral Theory · Mathematics 2022-12-29 Marcin Moszyński

The paper discusses the kinematics of manipulators builts of planar closed kinematic chains. A special kinematic scheme is extracted from the array of these mechanisms that looks the most promising for the creation of different types of…

Robotics · Computer Science 2007-07-13 Leonid Slutski , Damien Chablat , Jorge Angeles
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