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This paper presents a topology-inspired morphological descriptor for soft continuum robots by combining a pseudo-rigid-body (PRB) model with Morse theory to achieve a quantitative characterization of robot morphologies. By counting critical…

Robotics · Computer Science 2025-08-04 Zhiwei Wu , Siyi Wei , Jiahao Luo , Jinhui Zhang

Inspired by the vertebrate branch of the animal kingdom, articulated soft robots are robotic systems embedding elastic elements into a classic rigid (skeleton-like) structure. Leveraging on their bodies elasticity, soft robots promise to…

Robotics · Computer Science 2023-09-06 Cosimo Della Santina , Dominic Lakatos , Antonio Bicchi , Alin Albu-Schäffer

We present a rigorous framework for determining equilibrium configurations of uniformly rotating self-gravitating fluid bodies. This work addresses the longstanding challenge of modeling rotational deformation in celestial objects such as…

Classical Physics · Physics 2025-10-03 Sergei M. Kopeikin

The Finite Element Method (FEM) is a powerful modeling tool for predicting soft robots' behavior, but its computation time can limit practical applications. In this paper, a learning-based approach based on condensation of the FEM model is…

Recent advancements in soft actuators have enabled soft continuum swimming robots to achieve higher efficiency and more closely mimic the behaviors of real marine animals. However, optimizing the design and control of these soft continuum…

Robotics · Computer Science 2025-04-29 Yanhao Yang , Ross L. Hatton

Continuum arms, such as trunk and tentacle robots, lie between the two extremities of rigid and soft robots and promise to capture the best of both worlds in terms of manipulability, dexterity, and compliance. This paper proposes a new…

Robotics · Computer Science 2019-07-16 Ali A. Nazari , Diego Castro , Isuru S. Godage

This paper introduces a novel approach for modeling the dynamics of soft robots, utilizing a differentiable filter architecture. The proposed approach enables end-to-end training to learn system dynamics, noise characteristics, and temporal…

Robotics · Computer Science 2023-08-22 Xiao Liu , Shuhei Ikemoto , Yuhei Yoshimitsu , Heni Ben Amor

Currently state estimation is very important for the robotics, and the uncertainty representation based Lie group is natural for the state estimation problem. It is necessary to exploit the geometry and kinematic of matrix Lie group…

Robotics · Computer Science 2022-08-16 Yarong Luo , Mengyuan Wang , Chi Guo

Galilean symmetry is the natural symmetry of inertial motion that underpins Newtonian physics. Although rigid-body symmetry is one of the most established and fundamental tools in robotics, there appears to be no comparable treatment of…

Robotics · Computer Science 2025-10-14 Robert Mahony , Jonathan Kelly , Stephan Weiss

This paper presents a generalized flexible Hybrid Cable-Driven Robot (HCDR). For the proposed HCDR, the derivation of the equations of motion and proof provide a very effective way to find items for generalized system modeling. The proposed…

Robotics · Computer Science 2024-10-30 Ronghuai Qi , Amir Khajepour , William W. Melek

Continuum robots are becoming increasingly popular for applications which require the robots to deform and change shape, while also being compliant. A cable-driven continuum robot is one of the most commonly used type. Typical cable driven…

Robotics · Computer Science 2020-03-11 Soumya Kanti Mahapatra , Ashwin K. P. , Ashitava Ghosal

Soft robots are challenging to model due in large part to the nonlinear properties of soft materials. Fortunately, this softness makes it possible to safely observe their behavior under random control inputs, making them amenable to…

Robotics · Computer Science 2019-05-03 Daniel Bruder , C. David Remy , Ram Vasudevan

We design a deep-learning algorithm for the discovery and identification of the continuous group of symmetries present in a labeled dataset. We use fully connected neural networks to model the symmetry transformations and the corresponding…

High Energy Physics - Phenomenology · Physics 2023-01-16 Roy T. Forestano , Konstantin T. Matchev , Katia Matcheva , Alexander Roman , Eyup Unlu , Sarunas Verner

We propose Lie group embedded dynamical neural networks (LieEDNN) and the corresponding learning algorithms based on gradient descent and metric projection on smooth manifold, where we treat Lie group as an intrinsic representation for…

Machine Learning · Computer Science 2026-05-27 Tianwei Wang , Bryan Chen , Qian Zuo , Qiyue Xia , Xin Li , Wei Pang

Obtaining dynamic models of continuum soft robots is central to the analysis and control of soft robots, and researchers have devoted much attention to the challenge of proposing both data-driven and first-principle solutions. Both avenues…

Robotics · Computer Science 2025-02-21 Ricardo Valadas , Maximilian Stölzle , Jingyue Liu , Cosimo Della Santina

An energy-based modeling framework for the nonlinear dynamics of spatial Cosserat rods undergoing large displacements and rotations is proposed. The mixed formulation features independent displacement, velocity and stress variables and is…

Numerical Analysis · Mathematics 2026-05-11 Philipp L. Kinon , Simon R. Eugster , Peter Betsch

Modern Reinforcement Learning (RL) algorithms promise to solve difficult motor control problems directly from raw sensory inputs. Their attraction is due in part to the fact that they can represent a general class of methods that allow to…

Magnetic soft robots have attracted growing interest due to their unique advantages in terms of untethered actuation and excellent controllability. However, finding the required magnetization patterns or magnetic fields to achieve the…

Robotics · Computer Science 2022-04-26 Jianpeng Yao , Quanliang Cao , Yuwei Ju , Yuxuan Sun , Ruiqi Liu , Xiaotao Han , Liang Li

Soft robots can safely interact with environments because of their mechanical compliance. Self-collision is also employed in the modern design of soft robots to enhance their performance during different tasks. However, developing an…

Robotics · Computer Science 2022-08-02 Guoxin Fang , Yingjun Tian , Andrew Weightman , Charlie C. L. Wang

The Bayesian Learning Rule provides a framework for generic algorithm design but can be difficult to use for three reasons. First, it requires a specific parameterization of exponential family. Second, it uses gradients which can be…

Machine Learning · Computer Science 2023-03-09 Eren Mehmet Kıral , Thomas Möllenhoff , Mohammad Emtiyaz Khan