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This is a follow-up tutorial article of our previous article entitled "Robot Basics: Representation, Rotation and Velocity". For better understanding of the topics covered in this articles, we recommend the readers to first read our…

Robotics · Computer Science 2022-11-29 Jiawei Zhang

We study the geometry associated with the kinematics of a planar robot known as the "three-segment snake," whose velocity distribution belongs to a class of (2,3,5) distributions. We discover that, under certain assumptions on its…

Differential Geometry · Mathematics 2024-05-28 Tymon Frelik

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

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

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

Developing learning-based methods for navigation of aerial robots is an intensive data-driven process that requires highly parallelized simulation. The full utilization of such simulators is hindered by the lack of parallelized high-level…

Robotics · Computer Science 2023-05-29 Mihir Kulkarni , Theodor J. L. Forgaard , Kostas Alexis

The paper presents the position analysis of a spatial structure composed of two platforms mutually connected by one RRP and three SS serial kinematic chains, where R, P, and S stand for revolute, prismatic, and spherical kinematic pair…

Robotics · Computer Science 2010-02-10 Carlo Innocenti , Philippe Wenger

High absolute accuracy is an essential prerequisite for a humanoid robot to autonomously and robustly perform manipulation tasks while avoiding obstacles. We present for the first time a kinematic model for a humanoid upper body…

Robotics · Computer Science 2024-05-28 Johannes Tenhumberg , Berthold Bäuml

Recent research on mobile robots has focused on increasing their adaptability to unpredictable and unstructured environments using soft materials and structures. However, the determination of key design parameters and control over these…

Robotics · Computer Science 2024-03-20 Keqi Zhu , Haotian Guo , Wei Yu , Hassen Nigatu , Tong Li , Huixu Dong

This paper characterizes geometrically the singularities of limited DOF parallel manipulators. The geometric conditions associated with the dependency of six Pl\"ucker vector of lines (finite and infinite) constituting the rows of the…

Robotics · Computer Science 2008-09-19 Daniel Kanaan , Philippe Wenger , Damien Chablat

This work demonstrates universal dynamic perching capabilities for quadrotors of various sizes and on surfaces with different orientations. By employing a non-dimensionalization framework and deep reinforcement learning, we systematically…

Robotics · Computer Science 2024-12-30 Bryan Habas , Aaron Brown , Donghyeon Lee , Mitchell Goldman , Bo Cheng

This paper proposes a unified approach for dynamic modeling and simulations of general tensegrity structures with rigid bars and rigid bodies of arbitrary shapes. The natural coordinates are adopted as a non-minimal description in terms of…

Computational Engineering, Finance, and Science · Computer Science 2024-08-30 Jiahui Luo , Xiaoming Xu , Zhigang Wu , Shunan Wu

We propose an effective method for solving the inverse kinematic problem of a specific model of 6-degree-of-freedom (6-DOF) robot manipulator using computer algebra. It is known that when the rotation axes of three consecutive rotational…

Robotics · Computer Science 2025-09-09 Takumu Okazaki , Akira Terui , Masahiko Mikawa

The Orthoglide project aims at designing a new 3-axis machine tool for High Speed Machining. Basis kinematics is a 3 degree-of-freedom translational parallel mechanism. This basis was submitted to isotropic and manipulability constraints…

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

This paper seeks insight into stabilization mechanisms for periodic walking gaits in 3D bipedal robots. Based on this insight, a control strategy based on virtual constraints, which imposes coordination between joints rather than a temporal…

Robotics · Computer Science 2017-07-10 Christine Chevallereau , Hamed Razavi , Damien Six , Yannick Aoustin , Jessy Grizzle

Legged robots have demonstrated remarkable agility on rigid, stationary ground, but their locomotion reliability remains limited in non-inertial environments, where the supporting ground moves, tilts, or accelerates. Such conditions arise…

Robotics · Computer Science 2026-04-24 I-Chia Chang , Xinyan Huang , Tzu-Yuan Lin , Sangli Teng , Wenjing Li , Maani Ghaffari , Jingang Yi , Yan Gu

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

We study the problem of determining optimal coordinated motions for two disc robots in an otherwise obstacle-free plane. Using the total path length traced by the two disc centres as a measure of distance, we give an exact characterization…

Computational Geometry · Computer Science 2017-01-23 David Kirkpatrick , Paul Liu

Model-based control usually relies on an accurate model, which is often obtained from CAD and actuator models. The more accurate the model the better the control performance. However, in bipedal robots that demonstrate high agility actions,…

Robotics · Computer Science 2021-07-27 Bolun Dai

Simulation modeling of robots, objects, and environments is the backbone for all model-based control and learning. It is leveraged broadly across dynamic programming and model-predictive control, as well as data generation for imitation,…

Robotics · Computer Science 2022-01-19 Fei Liu , Mingen Li , Jingpei Lu , Entong Su , Michael C. Yip
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