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Pendulums are simple mechanical systems that have been studied for centuries and exhibit many aspects of modern dynamical systems theory. In particular, the double pendulum is a prototypical chaotic system that is frequently used to…

Dynamical Systems · Mathematics 2026-03-03 Kadierdan Kaheman , Jason J. Bramburger , J. Nathan Kutz , Steven L. Brunton

Soft robots are known for their ability to perform tasks with great adaptability, enabled by their distributed, non-uniform stiffness and actuation. Bending is the most fundamental motion for soft robot design, but creating robust, and…

Time-delayed control in a balancing problem may be a nonsmooth function for a variety of reasons. In this paper we study a simple model of the control of an inverted pendulum by either a connected movable cart or an applied torque for which…

Dynamical Systems · Mathematics 2015-05-27 David J. W. Simpson , Rachel Kuske , Yue-Xian Li

This study presents a systematic enumeration of spherical ($SO(3)$) type parallel robots' variants using an analytical velocity-level approach. These robots are known for their ability to perform arbitrary rotations around a fixed point,…

Robotics · Computer Science 2024-03-07 Hassen Nigatu , Li Jihao , Gaokun Shi , Guodong Lu , Huixu Dong

Back injuries are the most prevalent work-related musculoskeletal disorders and represent a major cause of disability. Although innovations in wearable robots aim to alleviate this hazard, the majority of existing exoskeletons are obtrusive…

This paper proposes a safety-critical locomotion control framework employed for legged robots exploring through infeasible path in obstacle-rich environments. Our research focus is on achieving safe and robust locomotion where robots…

Robotics · Computer Science 2024-09-17 Jaemin Lee , Min Dai , Jeeseop Kim , Aaron D. Ames

In this paper we study the self-propulsion of a dumbbell micro-robot submerged in a viscous fluid. The micro-robot consists of two rigid spherical beads connected by a rod or a spring; the rod's/spring's length is changing periodically. The…

Fluid Dynamics · Physics 2015-06-12 Vladimir A. Vladimirov

Continuum robots have gained widespread popularity due to their inherent compliance and flexibility, particularly their adjustable levels of stiffness for various application scenarios. Despite efforts to dynamic modeling and control…

Robotics · Computer Science 2024-09-17 Bowen Yi , Yeman Fan , Dikai Liu , Jose Guadalupe Romero

Forthcoming applications concerning humanoid robots may involve physical interaction between the robot and a dynamic environment. In such scenario, classical balancing and walking controllers that neglect the environment dynamics may not be…

Active matter systems use their internal or ambient source of energy and dissipate them at the scale of individual constituent particles to generate motion. Direct measurement of the energy influx for individual particles has not been…

Soft Condensed Matter · Physics 2022-09-13 Soumen Das , Anit Sane , Shankar Ghosh

A 3D pendulum consists of a rigid body, supported at a fixed pivot, with three rotational degrees of freedom. The pendulum is acted on by a gravitational force. Symmetry assumptions are shown to lead to the planar 1D pendulum and to the…

Dynamical Systems · Mathematics 2007-07-10 Nalin A. Chaturvedi , Taeyoung Lee , Melvin Leok , N. Harris McClamroch

In this paper, a reinforced soft robot prototype with a custom-designed actuator-space string encoder are created to investigate dynamic soft robotic trajectory tracking. The soft robot prototype embedded with the proposed adaptive…

Robotics · Computer Science 2022-09-26 Milad Azizkhani , Anthony L. Gunderman , Isuru S. Godage , Yue Chen

Internal computational models of physical bodies are fundamental to the ability of robots and animals alike to plan and control their actions. These "self-models" allow robots to consider outcomes of multiple possible future actions,…

Robotics · Computer Science 2021-11-23 Boyuan Chen , Robert Kwiatkowski , Carl Vondrick , Hod Lipson

This paper presents an approach to damp out the oscillatory motion of the pendulum-like hanging platform on which a robotic manipulator is mounted. To this end, moving masses were installed on top of the platform. In this paper, asymptotic…

Robotics · Computer Science 2018-09-25 Min Jun Kim , Jianjie Lin , Konstantin Kondak , Dongheui Lee , Christian Ott

The single, double, and triple pendulum has served as an illustrative experimental benchmark system for scientists to study dynamical behavior for more than four centuries. The pendulum system exhibits a wide range of interesting behaviors,…

This paper presents a study on the backstepping control of tendon-driven continuum robots for large deflections using the Cosserat rod model. Continuum robots are known for their flexibility and adaptability, making them suitable for…

Robotics · Computer Science 2025-02-21 Rana Danesh , Farrokh Janabi-Sharifi

Legged robots have the potential to become vital in maintenance, home support, and exploration scenarios. In order to interact with and manipulate their environments, most legged robots are equipped with a dedicated robot arm, which means…

Robotics · Computer Science 2024-02-19 Philip Arm , Mayank Mittal , Hendrik Kolvenbach , Marco Hutter

Locomotion of legged machines faces the problems of model complexity and computational costs. Algorithms based on complex models and/or reinforcement learning exist to solve the walking control task. In this project, we aim to develop a…

Robotics · Computer Science 2018-05-17 Kendeas Theofanous

Accurate physical simulation is crucial for the development and validation of control algorithms in robotic systems. Recent works in Reinforcement Learning (RL) take notably advantage of extensive simulations to produce efficient robot…

Robotics · Computer Science 2025-11-05 Marc Duclusaud , Grégoire Passault , Vincent Padois , Olivier Ly

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
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