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Quadrupedal robots exhibit a wide range of viable gaits, but generating specific footfall sequences often requires laborious expert tuning of numerous variables, such as touch-down and lift-off events and holonomic constraints for each leg.…

Robotics · Computer Science 2026-02-13 Jiayu Ding , Xulin Chen , Garrett E. Katz , Zhenyu Gan

Quadrupedal robots exhibit a wide range of viable gaits, but generating specific footfall sequences often requires laborious expert tuning of numerous variables, such as touch-down and lift-off events and holonomic constraints for each leg.…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Jiayu Ding , Xulin Chen , Garret E. Katz , Zhenyu Gan

Legged robot research is presently focused on bipedal or quadrupedal robots, despite capabilities to build robots with many more legs to potentially improve locomotion performance. This imbalance is not necessarily due to hardware…

Many biological phenomena such as locomotion, circadian cycles, and breathing are rhythmic in nature and can be modeled as rhythmic dynamical systems. Dynamical systems modeling often involves neglecting certain characteristics of a…

Dynamical Systems · Mathematics 2016-01-20 M. Mert Ankaralı , Shahin Sefati , Manu S. Madhav , Andrew Long , Amy J. Bastian , Noah J. Cowan

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

Discrete and periodic contact switching is a key characteristic of steady-state legged locomotion. This paper introduces a framework for modeling and analyzing this contact-switching behavior through the framework of geometric mechanics on…

Robotics · Computer Science 2023-10-24 Hari Krishna Hari Prasad , Ross L. Hatton , Kaushik Jayaram

Quadrupeds transition spontaneously to various gait patterns (e.g., walk, trot, pace, gallop) in response to the locomotion speed. The generation of these gait patterns has been the subject of debate for a long time. We propose a coupled…

Quantitative Methods · Quantitative Biology 2013-10-30 Atsushi Tero , Masakazu Akiyama , Dai Owaki , Takeshi Kano , Akio Ishiguro , Ryo Kobayashi

This study explores the dynamics of asymmetrical bounding gaits in quadrupedal robots, focusing on the integration of torso pitching and hip motion to enhance speed and stability. Traditional control strategies often enforce a fixed…

Robotics · Computer Science 2025-09-01 Jing Cheng , Yasser G. Alqaham , Zhenyu Gan

Robots exhibit a rich variety of symmetries arising from their mechanical structure and the properties of their tasks. Although many robotics problems exhibit several symmetries simultaneously, existing approaches typically treat them in…

Robotics · Computer Science 2026-05-22 Loizos Hadjiloizou , Rodrigo Pérez-Dattari , Noémie Jaquier

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

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

Quadruped animals are capable of exhibiting a diverse range of locomotion gaits. While progress has been made in demonstrating such gaits on robots, current methods rely on motion priors, dynamics models, or other forms of extensive manual…

Robotics · Computer Science 2024-02-23 David DeFazio , Yohei Hayamizu , Shiqi Zhang

Symmetry is a fundamental aspect of many real-world robotic tasks. However, current deep reinforcement learning (DRL) approaches can seldom harness and exploit symmetry effectively. Often, the learned behaviors fail to achieve the desired…

Robotics · Computer Science 2024-03-08 Mayank Mittal , Nikita Rudin , Victor Klemm , Arthur Allshire , Marco Hutter

Locomotion has seen dramatic progress for walking or running across challenging terrains. However, robotic quadrupeds are still far behind their biological counterparts, such as dogs, which display a variety of agile skills and can use the…

Robotics · Computer Science 2023-03-23 Xuxin Cheng , Ashish Kumar , Deepak Pathak

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

Gaits and transitions are key components in legged locomotion. For legged robots, describing and reproducing gaits as well as transitions remain longstanding challenges. Reinforcement learning has become a powerful tool to formulate…

Robotics · Computer Science 2022-01-04 Yecheng Shao , Yongbin Jin , Xianwei Liu , Weiyan He , Hongtao Wang , Wei Yang

We present a comprehensive study on discrete morphological symmetries of dynamical systems, which are commonly observed in biological and artificial locomoting systems, such as legged, swimming, and flying animals/robots/virtual characters.…

Robotics · Computer Science 2023-07-27 Daniel Ordonez-Apraez , Mario Martin , Antonio Agudo , Francesc Moreno-Noguer

Galloping is a common high-speed gait in both animals and quadrupedal robots, yet its energetic characteristics remain insufficiently explored. This study systematically analyzes a large number of possible galloping gaits by categorizing…

Robotics · Computer Science 2026-01-14 Yasser G. Alqaham , Jing Cheng , Zhenyu Gan

Salamander-like quadruped robots are designed inspired by the skeletal structure of their biological counterparts. However, existing controllers cannot fully exploit these morphological features and largely rely on predefined gait patterns…

Robotics · Computer Science 2025-11-12 Zhiang Liu , Yang Liu , Yongchun Fang , Xian Guo

Microscopic mechanisms of natural processes are frequently understood in terms of random walk models by analyzing local particle transitions. This is because these models properly account for dynamic processes at the molecular level and…

Statistical Mechanics · Physics 2021-06-16 Jaeoh Shin , Alexander M. Berezhkovskii , Anatoly B. Kolomeisky
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