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Related papers: A General Lie-Group Framework for Continuum Soft R…

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The deformable and continuum nature of soft robots promises versatility and adaptability. However, control of modular, multi-limbed soft robots for terrestrial locomotion is challenging due to the complex robot structure, actuator mechanics…

Robotics · Computer Science 2016-02-05 Vishesh Vikas , Piyush Grover , Barry Trimmer

We present a generalization of Lie's method for finding the group invariant solutions to a system of partial differential equations. Our generalization relaxes the standard transversality assumption and encompasses the common situation…

Mathematical Physics · Physics 2015-06-26 I. Anderson , M. Fels , C. Torre

SLOT (Soft Legged Omnidirectional Tetrapod), a tendon-driven soft quadruped robot with 3D-printed TPU legs, is presented to study physics-informed modeling and control of compliant legged locomotion using only four actuators. Each leg is…

Robotics · Computer Science 2026-02-19 Saumya Karan , Neerav Maram , Suraj Borate , Madhu Vadali

Precise kinematic modeling is critical in calibration and controller design for soft robots, yet remains a challenging issue due to their highly nonlinear and complex behaviors. To tackle the issue, numerous data-driven machine learning…

Robotics · Computer Science 2025-07-11 Zhanhong Jiang , Dylan Shah , Hsin-Jung Yang , Soumik Sarkar

Soft actuators offer compliant and safe interaction with an unstructured environment compared to their rigid counterparts. However, control of these systems is often challenging because they are inherently under-actuated, have infinite…

Robotics · Computer Science 2024-02-06 Sean Even , Tongjia Zheng , Hai Lin , Yasemin Ozkan-Aydin

Continuum soft robots are mechanical systems entirely made of continuously deformable elements. This design solution aims to bring robots closer to invertebrate animals and soft appendices of vertebrate animals (e.g., an elephant's trunk, a…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Cosimo Della Santina , Christian Duriez , Daniela Rus

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

Serially connected robots are promising candidates for performing tasks in confined spaces such as search-and-rescue in large-scale disasters. Such robots are typically limbless, and we hypothesize that the addition of limbs could improve…

Learning robot motions from demonstration requires models able to specify vector fields for the full robot pose when the task is defined in operational space. Recent advances in reactive motion generation have shown that learning adaptive,…

Robotics · Computer Science 2022-10-04 Julen Urain , Davide Tateo , Jan Peters

This paper presents the application of the concepts and approaches of linear graph (LG) theory in the modeling and simulation of a 4-wheel skid-steer mobile robotic system. An LG representation of the system is proposed and the accompanying…

Robotics · Computer Science 2021-10-04 Eric McCormick , Haoxiang Lang , Clarence W. de Silva

This work provides a complete framework for the simulation, co-optimization, and sim-to-real transfer of the design and control of soft legged robots. The compliance of soft robots provides a form of "mechanical intelligence" -- the ability…

Robotics · Computer Science 2022-02-10 Charles Schaff , Audrey Sedal , Matthew R. Walter

Recently soft robotics has rapidly become a novel and promising area of research with many designs and applications due to their flexible and compliant structure. However, it is more difficult to derive the nonlinear dynamic model of such…

Robotics · Computer Science 2022-06-09 Haihong Li , Lingxiao Xun , Gang Zheng

Soft continuum robots achieve complex deformation through elastic equilibrium, making their reachable motions governed jointly by structural design and actuation-induced mechanics. This work develops a general formulation that integrates…

Robotics · Computer Science 2025-12-01 Zhiwei Wu , Jiahao Luo , Siyi Wei , Jinhui Zhang

Soft robots are well suited for contact-rich tasks due to their compliance, yet this property makes accurate and tractable modeling challenging. Planning motions with dynamically-feasible trajectories requires models that capture arbitrary…

Robotics · Computer Science 2026-03-25 Beibei Liu , Akua K. Dickson , Ran Jing , Andrew P. Sabelhaus

We propose a finite element method for simulating one-dimensional solid models moving and experiencing large deformations while immersed in generalized Newtonian fluids. The method is oriented towards applications involving microscopic…

Numerical Analysis · Mathematics 2022-01-26 Roberto F. Ausas , Cristian G. Gebhardt , Gustavo C. Buscaglia

Soft, slender structures are ubiquitous in natural and engineered systems, with broad application potential from biomimetic materials to soft robotics. However, there is a notable lack of computational tools that simultaneously preserve…

Computational Engineering, Finance, and Science · Computer Science 2026-05-14 Tejaswin Parthasarathy , Seung Hyun Kim , Songyuan Cui , Mattia Gazzola

Algorithms that use derivatives of governing equations have accelerated rigid robot simulations and improved their accuracy, enabling the modeling of complex, real-world capabilities. However, extending these methods to soft and hybrid…

Robotics · Computer Science 2024-11-08 Anup Teejo Mathew , Frederic Boyer , Vincent Lebastard , Federico Renda

Continuum soft robots are nonlinear mechanical systems with theoretically infinite degrees of freedom (DoFs) that exhibit complex behaviors. Achieving motor intelligence under dynamic conditions necessitates the development of…

Continuous-time trajectory representations are a powerful tool that can be used to address several issues in many practical simultaneous localization and mapping (SLAM) scenarios, like continuously collected measurements distorted by robot…

Robotics · Computer Science 2017-05-18 Jing Dong , Byron Boots , Frank Dellaert

This paper presents a generalization of conventional sliding mode control designs for systems in Euclidean spaces to fully actuated simple mechanical systems whose configuration space is a Lie group for the trajectory-tracking problem. A…

Optimization and Control · Mathematics 2023-06-01 Eduardo Espindola , Yu Tang