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A classification of a family of 3-revolute (3R) positioning manipulators is established. This classification is based on the topology of their workspace. The workspace is characterized in a half-cross section by the singular curves of the…

机器人学 · 计算机科学 2007-05-23 Philippe Wenger , Maher Baili , Damien Chablat

Physics-based manipulation in clutter involves complex interaction between multiple objects. In this paper, we consider the problem of learning, from interaction in a physics simulator, manipulation skills to solve this multi-step…

机器人学 · 计算机科学 2019-07-29 Wissam Bejjani , Mehmet R. Dogar , Matteo Leonetti

Real-time humanoid teleoperation requires inverse kinematics (IK) solvers that are both responsive and constraint-safe under kinematic redundancy and self-collision constraints. While differential IK enables efficient online retargeting,…

机器人学 · 计算机科学 2026-03-26 Junheng Li , Lizhi Yang , Aaron D. Ames

This paper proposes a global iterative sliding mode control approach for high-precision contouring tasks of a flexure-linked biaxial gantry system. For such high-precision contouring tasks, it is the typical situation that the involved…

系统与控制 · 电气工程与系统科学 2022-01-28 Wenxin Wang , Jun Ma , Zilong Cheng , Xiaocong Li , Clarence W de Silva , Tong Heng Lee

Rehabilitation tasks demand robust and accurate trajectory-tracking performance, mainly achieved with parallel robots. In this field, limiting the value of the force exerted on the patient is crucial, especially when an injured limb is…

We develop theory and software for rotation equivariant operators on scalar and vector fields, with diverse applications in simulation, optimization and machine learning. Rotation equivariance (covariance) means all fields in the system…

机器学习 · 计算机科学 2022-08-08 Paul Shen , Michael Herbst , Venkat Viswanathan

This paper investigates singular configurations of planar 3-RPR parallel manipulators, which result from applying the averaging technique to solution pairs of their direct kinematic problem. Without computing the zeros of the corresponding…

机器人学 · 计算机科学 2026-05-05 Yudi Zhao , Georg Nawratil

We present a theoretical and numerical analysis of the kinematics for the "Transpressor", a cuspidal 6R robot. It admits up to 16 inverse kinematics solutions which are described geometrically. For special target poses, we provide the…

机器人学 · 计算机科学 2026-02-17 Alexander Feeß , Martin Weiß

This paper introduces a 3D parallel robot with three identical five-degree-of-freedom chains connected to a circular brace end-effector, aimed to serve as an assistive device for patients with cervical spondylosis. The inverse kinematics of…

机器人学 · 计算机科学 2025-03-18 Jingzong Zhou , Yuhan Zhu , Xiaobin Zhang , Sunil Agrawal , Konstantinos Karydis

Using the path integral measure factorization method based on the nonlinear filtering equation from the stochastic process theory, we consider the reduction procedure in Wiener path integrals for a mechanical system with symmetry that…

数学物理 · 物理学 2020-01-01 S. N. Storchak

In this work, we utilize discrete geometric mechanics to derive a 2nd-order variational integrator so as to simulate rigid body dynamics. The developed integrator is to simulate the motion of a free rigid body and a quad-rotor. We…

最优化与控制 · 数学 2020-05-18 Mahmoud Abdelgalil , Asmaa Eldesoukey , Esraa Elshabrawy , Mostafa Abdalla

The paper addresses kinematic and geometrical aspects of the Orthoglide, a three-DOF parallel mechanism. This machine consists of three fixed linear joints, which are mounted orthogonally, three identical legs and a mobile platform, which…

机器人学 · 计算机科学 2007-05-23 Anatoly Pashkevich , Damien Chablat , Philippe Wenger

We discuss correspondence between the predictions of quantum theories for rotation angle formulated in infinite and finite dimensional Hilbert spaces, taking as example, the calculation of matrix elements of phase-angular momentum…

量子物理 · 物理学 2007-05-23 Ramandeep S. Johal

Designing adaptable control laws that can transfer between different robots is a challenge because of kinematic and dynamic differences, as well as in scenarios where external sensors are used. In this work, we empirically investigate a…

机器人学 · 计算机科学 2021-06-14 Michael Przystupa , Masood Dehghan , Martin Jagersand , A. Rupam Mahmood

Inverse dynamics is used extensively in robotics and biomechanics applications. In manipulator and legged robots, it can form the basis of an effective nonlinear control strategy by providing a robot with both accurate positional tracking…

机器人学 · 计算机科学 2016-08-05 Samuel Zapolsky , Evan Drumwright

Nonlinearities in finite dimensions can be linearized by projecting them into infinite dimensions. Unfortunately, often the linear operator techniques that one would then use simply fail since the operators cannot be diagonalized. This…

数学物理 · 物理学 2016-08-09 Paul M. Riechers , James P. Crutchfield

The paper focuses on the mechanics of a compliant serial manipulator composed of new type of dual-triangle elastic segments. Both the analytical and numerical methods were used to find the manipulator stable and unstable equilibrium…

机器人学 · 计算机科学 2020-11-16 Damien Chablat , Wanda Zhao , Anatol Pashkevich , Alexandr Klimchik

We propose a simple and practical approach for incorporating the effects of muscle inertia, which has been ignored by previous musculoskeletal simulators in both graphics and biomechanics. We approximate the inertia of the muscle by…

图形学 · 计算机科学 2022-09-23 Ying Wang , Jasper Verheul , Sang-Hoon Yeo , Nima Khademi Kalantari , Shinjiro Sueda

We study in this paper a class of 3-RPR manipulators for which the direct kinematic problem (DKP) is split into a cubic problem followed by a quadratic one. These manipulators are geometrically characterized by the fact that the moving…

机器人学 · 计算机科学 2011-07-25 Michel Coste , Philippe Wenger , Damien Chablat

A new approach to normal operators in real Hilbert spaces is discussed, and a spectral representation is obtained, derived directly from the complex case. The results are then applied to quaternionic normal operators, regarded as a special…

泛函分析 · 数学 2025-07-28 Florian-Horia Vasilescu