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Isolated mechanical systems -- e.g., those floating in space, in free-fall, or on a frictionless surface -- are able to achieve net rotation by cyclically changing their shape, even if they have no net angular momentum. Similarly, swimmers…

Geometric motion planning offers effective and interpretable gait analysis and optimization tools for locomoting systems. However, due to the curse of dimensionality in coordinate optimization, a key component of geometric motion planning,…

Robotics · Computer Science 2024-03-08 Yanhao Yang , Capprin Bass , Ross L. Hatton

Motion planning for locomotion systems typically requires translating high-level rigid-body tasks into low-level joint trajectories-a process that is straightforward for car-like robots with fixed, unbounded actuation inputs but more…

Robotics · Computer Science 2025-02-26 Jinwoo Choi , Siming Deng , Nathan Justus , Noah J. Cowan , Ross L. Hatton

Many robotic systems locomote using gaits - periodic changes of internal shape, whose mechanical interaction with the robot's environment generate characteristic net displacements. Prominent examples with two shape variables are the low…

Robotics · Computer Science 2023-08-25 Oren Wiezel , Suresh Ramasamy , Nathan Justus , Yizhar Or , Ross Hatton

This paper presents a gait optimization and motion planning framework for a class of locomoting systems with mixed kinematic and dynamic properties. Using Lagrangian reduction and differential geometry, we derive a general dynamic model…

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

Legged locomotion is commonly studied and expressed as a discrete set of gait patterns, like walk, trot, gallop, which are usually treated as given and pre-programmed in legged robots for efficient locomotion at different speeds. However,…

Robotics · Computer Science 2021-11-03 Zipeng Fu , Ashish Kumar , Jitendra Malik , Deepak Pathak

Robotic locomotion often relies on sequenced gaits to efficiently convert control input into desired motion. Despite extensive studies on gait optimization, achieving smooth and efficient gait transitions remains challenging. In this paper,…

Robotics · Computer Science 2024-09-17 Jinwoo Choi , Ross L. Hatton

Miniature-legged robots are constrained by their onboard computation and control, thus motivating the need for simple, first-principles-based geometric models that connect \emph{periodic actuation or gaits} (a universal robot control…

Robotics · Computer Science 2024-07-03 Hari Krishna Hari Prasad , Ross L. Hatton , Kaushik Jayaram

It is often overlooked by roboticists when designing locomotion controllers for their legged machines, that energy consumption plays an important role in selecting the best gaits for locomotion at high speeds or over long distances. The…

Robotics · Computer Science 2023-03-10 Yasser G. Alqaham , Jing Cheng , Zhenyu Gan

Taking inspiration from the natural gait transition mechanism of quadrupeds, devising a good gait transition strategy is important for quadruped robots to achieve energy-efficient locomotion on various terrains and velocities. While…

Robotics · Computer Science 2024-10-15 Daoxun Zhang , Xieyuanli Chen , Zhengyu Zhong , Ming Xu , Zhiqiang Zheng , Huimin Lu

Nature suggests that exploiting the elasticities and natural dynamics of robotic systems could increase their locomotion efficiency. Prior work on elastic snake robots supports this hypothesis, but has not fully exploited the nonlinear…

Robotics · Computer Science 2026-05-14 Tristan Ehlert , Arne Sachtler , Annika Schmidt , Davide Calzolari , Alin Albu-Schäffer

In this paper, we present a geometric variational algorithm for optimizing the gaits of kinematic locomoting systems. The dynamics of this algorithm are analogous to the physics of a soap bubble, with the system's Lie bracket supplying an…

Optimization and Control · Mathematics 2016-10-27 Suresh Ramasamy , Ross L. Hatton

Worm-inspired robots provide an effective locomotion strategy for constrained environments by combining cyclic body deformation with alternating anchoring. For compliant robots, however, the interaction between deformable anchoring…

Robotics · Computer Science 2026-04-15 Xinyu Zhou , Yu Mei , Faith Thomson , Christian Luedtke , Xinda Qi , Xiaobo Tan

A key problem in robotic locomotion is in finding optimal shape changes to effectively displace systems through the world. Variational techniques for gait optimization require estimates of body displacement per gait cycle; however, these…

Robotics · Computer Science 2022-02-23 Capprin Bass , Suresh Ramasamy , Ross Hatton

The robotic locomotion community is interested in optimal gaits for control. Based on the optimization criterion, however, there could be a number of possible optimal gaits. For example, the optimal gait for maximizing displacement with…

Robotics · Computer Science 2022-10-11 Jinwoo Choi , Capprin Bass , Ross L. Hatton

This study focuses on the locomotion capability improvement in a tendon-driven soft quadruped robot through an online adaptive learning approach. Leveraging the inverse kinematics model of the soft quadruped robot, we employ a central…

Robotics · Computer Science 2024-06-12 Kaige Tan , Xuezhi Niu , Qinglei Ji , Lei Feng , Martin Törngren

Robotic motion optimization often focuses on task-specific solutions, overlooking fundamental motion principles. Building on Riemannian geometry and the calculus of variations (often appearing as indirect methods of optimal control), we…

Robotics · Computer Science 2025-03-19 Jinwoo Choi , Alejandro Cabrera , Ross L. Hatton

While modular robots offer versatility, excessive joint torque during locomotion poses a significant risk of mechanical failure, especially for detachable joints. To address this, we propose an optimization framework using the NSGA-III…

Robotics · Computer Science 2026-03-06 Kennosuke Chihara , Takuya Kiyokawa , Kensuke Harada

Many forms of locomotion, both natural and artificial, are dominated by viscous friction in the sense that without power expenditure they quickly come to a standstill. From geometric mechanics, it is known that for swimming at the…

Robotics · Computer Science 2020-04-28 Matthew D. Kvalheim , Brian Bittner , Shai Revzen

Human movements are physical processes combining the classical mechanics of the human body moving in space and the biomechanics of the muscles generating the forces acting on the body under sophisticated sensory-motor control. One way to…

Quantitative Methods · Quantitative Biology 2018-12-11 Stuart Hagler
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