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A planar kinematic chain consists of $n$ links connected by joints. In this work we investigate the space of configurations, described in terms of joint angles, that guarantee that the kinematic chain is closed. We give explicit formulas…

Metric Geometry · Mathematics 2021-12-03 Gerhard Zangerl

Recursive modelling for the kinematics of a 3-PRP planar parallel robot is presented in this paper. Three planar chains connecting to the moving platform of the manipulator are located in a vertical plane. Knowing the motion of the…

Robotics · Computer Science 2009-04-02 Damien Chablat , Stefan Staicu

In this paper, we investigate the adaptive control problem for robot manipulators with both the uncertain kinematics and dynamics. We propose two adaptive control schemes to realize the objective of task-space trajectory tracking…

Systems and Control · Computer Science 2017-07-13 Hanlei Wang

A class of analytic planar 3-RPR manipulators is analyzed in this paper. These manipulators have congruent base and moving platforms and the moving platform is rotated of 180 deg about an axis in the plane. The forward kinematics is reduced…

Robotics · Computer Science 2009-09-03 Philippe Wenger , Damien Chablat

This paper investigates the differentiable dynamic modeling of mobile manipulators to facilitate efficient motion planning and physical design of actuators, where the actuator design is parameterized by physically meaningful motor geometry…

Robotics · Computer Science 2024-05-03 Zehui Lu , Yebin Wang

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

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

The paper focuses on the kinematics control of a compliant serial manipulator composed of a new type of dualtriangle elastic segments. Some useful optimization techniques were applied to solve the geometric redundancy problem, ensure the…

Robotics · Computer Science 2021-02-22 Wanda Zhao , Anatol Pashkevich , Alexandr Klimchik , Damien Chablat

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

State-of-the-art generalist manipulation policies have enabled the deployment of robotic manipulators in unstructured human environments. However, these frameworks struggle in cluttered environments primarily because they utilize auxiliary…

Robotics · Computer Science 2026-03-26 Davood Soleymanzadeh , Ivan Lopez-Sanchez , Hao Su , Yunzhu Li , Xiao Liang , Minghui Zheng

In this paper we combine a survey of the most important topological properties of kinematic maps that appear in robotics, with the exposition of some basic results regarding the topological complexity of a map. In particular, we discuss…

Algebraic Topology · Mathematics 2017-07-14 Petar Pavešić

Soft robotic manipulators provide numerous advantages over conventional rigid manipulators in fragile environments such as the marine environment. However, developing analytic inverse models necessary for shape, motion, and force control of…

Robotics · Computer Science 2022-11-15 Abdelrahman Alkhodary , Berke Gur

Closed kinematic chains are created whenever multiple robot arms concurrently manipulate a single object. The closed-chain constraint, when coupled with robot joint limits, dramatically changes the connectivity of the configuration space.…

Robotics · Computer Science 2017-06-22 Xian Zhou , Puttichai Lertkultanon , Quang-Cuong Pham

The aim of this paper is the kinematic study of a 3-RPR planar parallel manipulator where the three fixed revolute joints are actuated. The direct and inverse kinematic problem as well as the singular configuration is characterized. On…

Robotics · Computer Science 2007-08-30 Damien Chablat , Philippe Wenger , Ilian Bonev

Use of physics-based simulation as a planning model enables a planner to reason and generate plans that involve non-trivial interactions with the world. For example, grasping a milk container out of a cluttered refrigerator may involve…

Robotics · Computer Science 2020-03-17 Muhammad Suhail Saleem , Maxim Likhachev

Stable dynamical systems are a flexible tool to plan robotic motions in real-time. In the robotic literature, dynamical system motions are typically planned without considering possible limitations in the robot's workspace. This work…

Robotics · Computer Science 2020-03-26 Matteo Saveriano , Dongheui Lee

A hyper-redundant robotic arm is a manipulator with many degrees of freedom, capable of executing tasks in cluttered environments where robotic arms with fewer degrees of freedom are unable to operate. This paper introduces a new method for…

Robotics · Computer Science 2018-03-13 Marios P. Xanthidis , Kostantinos J. Kyriakopoulos , Ioannis Rekleitis

This paper addresses the planar finger kinematics for seeking optimized manipulation strategies. The first step is to model based on geometric features of linear and rotation motion so that the robot can select the fingers configurations.…

Robotics · Computer Science 2024-01-15 Jingyi Li

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 focuses on the kinematic properties of a new three-degree-of-freedom hybrid manipulator. This manipulator is obtained by adding in series to a five-bar planar mechanism (similar to the one studied by Bajpai and Roth) a third…

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