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The aim of this paper is to formulate and analyze numerical discretizations of charged-particle dynamics (CPD) in a strong nonuniform magnetic field. A strategy is firstly performed for the two dimensional CPD to construct the…

Numerical Analysis · Mathematics 2022-05-18 Bin Wang , Yaolin Jiang

Human joint dynamic stiffness plays an important role in the stability of performance augmentation exoskeletons. In this paper, we consider a new frequency domain model of the human joint dynamics which features a complex value stiffness.…

Robotics · Computer Science 2020-05-04 Binghan He , Huang Huang , Gray C. Thomas , Luis Sentis

A mesh refinement method is described for solving optimal control problems using Legendre-Gauss-Radau collocation. The method detects discontinuities in the control solution by employing an edge detection scheme based on jump function…

Optimization and Control · Mathematics 2020-03-27 Alexander T. Miller , WIlliam W. Hager , Anil V. Rao

Nonlinear controllers for floating base systems in contact with the environment are often framed as quadratic programming (QP) optimization problems. Common drawbacks of such QP based controllers are: the control input often experiences…

Robotics · Computer Science 2020-09-09 Ahmad Gazar , Gabriele Nava , Francisco Javier Andrade Chavez , Daniele Pucci

A novel Material Point Method (MPM) is introduced for addressing frictional contact problems. In contrast to the standard multi-velocity field approach, this method employs a penalty method to evaluate contact forces at the discretised…

Numerical Analysis · Mathematics 2024-03-21 Emmanouil G. Kakouris , Manolis N. Chatzis , Savvas P. Triantafyllou

Incorporating both flexible and rigid components in robot designs offers a unique solution to the limitations of traditional rigid robotics by enabling both compliance and strength. This paper explores the challenges and solutions for…

Robotics · Computer Science 2024-03-28 Zach J. Patterson , Wei Xiao , Emily Sologuren , Daniela Rus

Variable impedance control is advantageous for physical human-robot interaction to improve safety, adaptability and many other aspects. This paper presents a gain-scheduled variable stiffness control approach under strict frequency-domain…

Robotics · Computer Science 2020-08-11 Wulin Zou , Pu Duan , Yawen Chen , Ningbo Yu , Ling Shi

Soft robots offer an alternative approach to manipulate inside the constrained space while maintaining the safe interaction with the external environment. Due to its adaptable compliance characteristic, external contact force can easily…

Robotics · Computer Science 2019-06-28 Yue Chen , Long Wang , Kevin Galloway , Isuru Godage , Nabil Simaan , Eric Barth

Frictional contact has been extensively studied as the core underlying behavior of legged locomotion and manipulation, and its nearly-discontinuous nature makes planning and control difficult even when an accurate model of the robot is…

Robotics · Computer Science 2021-03-30 Mihir Parmar , Mathew Halm , Michael Posa

Recent studies on quadruped robots have focused on either locomotion or mobile manipulation using a robotic arm. Legged robots can manipulate heavier and larger objects using non-prehensile manipulation primitives, such as planar pushing,…

Robotics · Computer Science 2022-10-10 Alberto Rigo , Yiyu Chen , Satyandra K. Gupta , Quan Nguyen

The development of variational density functional theory approaches to excited electronic states is impeded by limitations of the commonly used self-consistent field (SCF) procedure. A method based on a direct optimization approach as well…

Chemical Physics · Physics 2022-11-09 Gianluca Levi , Aleksei V. Ivanov , Hannes Jónsson

Continuum robots offer high flexibility and multiple degrees of freedom, making them ideal for navigating narrow lumens. However, accurately modeling their behavior under large deformations and frequent environmental contacts remains…

Robotics · Computer Science 2025-03-11 Hao Chen , Jian Chen , Xinran Liu , Zihui Zhang , Yuanrui Huang , Zhongkai Zhang , Hongbin Liu

Rigid-bodied robots often lack compliance needed to adapt to unstructured environments, while fully soft robots, though highly adaptable, struggle with scalability and load capacity. In nature, musculoskeletal systems balance strength and…

Computational Engineering, Finance, and Science · Computer Science 2026-05-29 Hiroki Kobayashi , Yuki Takaha , Changyoung Yuhn , Yuki Sato , Sunao Tomita , Atsushi Kawamoto , Tsuyoshi Nomura

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

A common strategy today to generate efficient locomotion movements is to split the problem into two consecutive steps: the first one generates the contact sequence together with the centroidal trajectory, while the second one computes the…

Robotics · Computer Science 2019-04-11 Rohan Budhiraja , Justin Carpentier , Carlos Mastalli , Nicolas Mansard

A highly accurate, single-pass, unbiased frictional contact algorithm for higher-order elements based on the concept of midplane is presented. Higher-order elements offer a lucrative choice for contact problems as they can better represent…

Computational Physics · Physics 2025-06-30 Indrajeet Sahu , Nik Petrinic

In this article, we formulate a monolithic optimal control method for general time-dependent Fluid-Structure Interaction (FSI) systems with large solid deformation. We consider a displacement-tracking type of objective with a constraint of…

Computational Engineering, Finance, and Science · Computer Science 2022-05-25 Yongxing Wang

Precision motion stages are an essential part of a wide range of manufacturing equipment, and their motion performance are critical to the quality and throughput of the systems. The drastically increasing demand for higher manufacturing…

Systems and Control · Electrical Eng. & Systems 2022-02-17 Jingjie Wu , Lei Zhou

Simulating stiff materials in applications where deformations are either not significant or can safely be ignored is a pivotal task across fields. Rigid body modeling has thus long remained a fundamental tool and is, by far, the most…

Graphics · Computer Science 2022-02-02 Lei Lan , Danny M. Kaufman , Minchen Li , Chenfanfu Jiang , Yin Yang

We present a differentiable formulation of rigid-body contact dynamics for objects and robots represented as compositions of convex primitives. Existing optimization-based approaches simulating contact between convex primitives rely on a…

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