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In this paper, with a view toward fast deployment of learned locomotion gaits in low-cost hardware, we generate a library of walking trajectories, namely, forward trot, backward trot, side-step, and turn in our custom-built quadruped robot,…

In this paper we provide a method to generate a continuum of limit cycles using a single precomputed exponentially stable limit cycle designed within the Hybrid Zero Dynamics framework. Guarantees for existence and stability of these limit…

Dynamical Systems · Mathematics 2017-03-22 Sushant Veer , Mohamad Shafiee Motahar , Ioannis Poulakakis

Machine learning algorithms have found several applications in the field of robotics and control systems. The control systems community has started to show interest towards several machine learning algorithms from the sub-domains such as…

Robotics · Computer Science 2018-07-18 Arun Kumar , Navneet Paul , S N Omkar

Generating robust locomotion for a humanoid robot in the presence of disturbances is difficult because of its high number of degrees of freedom and its unstable nature. In this paper, we used the concept of Divergent Component of…

Robotics · Computer Science 2021-12-23 Mohammadreza Kasaei , Nuno Lau , Artur Pereira

Hybrid systems, such as bipedal walkers, are challenging to control because of discontinuities in their nonlinear dynamics. Little can be predicted about the systems' evolution without modeling the guard conditions that govern transitions…

Robotics · Computer Science 2019-03-04 Aleksandra Kalinowska , Thomas A. Berrueta , Adam Zoss , Todd Murphey

Legged robots promise higher versatility and the ability to traverse much more difficult terrains than their wheeled counterparts. Even though the use of legged robots have increased drastically in the last few years, they are still not…

Robotics · Computer Science 2021-05-25 Hilmar Elverhøy , Steinar Bøe , Vegard Søyseth , Tønnes Nygaard

We address the challenge of effectively controlling the locomotion of legged robots by incorporating precise frequency and phase characteristics, which is often ignored in locomotion policies that do not account for the periodic nature of…

Robotics · Computer Science 2025-03-07 Taixian Hou , Yueqi Zhang , Xiaoyi Wei , Zhiyan Dong , Jiafu Yi , Peng Zhai , Lihua Zhang

Biped robots are inherently unstable because of their complex kinematics as well as dynamics. Despite the many research efforts in developing biped locomotion, the performance of biped locomotion is still far from the expectations. This…

Robotics · Computer Science 2022-01-25 Mohammadreza Kasaei , Ali Ahmadi , Nuno Lau , Artur Pereira

Generating stable walking gaits that yield natural locomotion when executed on robotic-assistive devices is a challenging task that often requires hand-tuning by domain experts. This paper presents an alternative methodology, where we…

Robotics · Computer Science 2022-03-16 Kejun Li , Maegan Tucker , Rachel Gehlhar , Yisong Yue , Aaron D. Ames

Dynamic maneuvers for legged robots present a difficult challenge due to the complex dynamics and contact constraints. This paper introduces a versatile trajectory optimization framework for continuous-time multi-phase problems. We…

Robotics · Computer Science 2024-09-20 Ethan Chandler , Akshay Jaitly , Mahdi Agheli

Optimizing gait stability for legged robots is a difficult problem. Even on level surfaces, effectively traversing across different textures (e.g., carpet) rests on dynamically tuning parameters in multidimensional space. Inspired by…

Robotics · Computer Science 2022-03-31 Jack Vice , Gita Sukthankar , Pamela K. Douglas

In this paper, we describe a planner capable of generating walking trajectories by using the centroidal dynamics and the full kinematics of a humanoid robot model. The interaction between the robot and the walking surface is modeled…

Robotics · Computer Science 2020-03-11 Stefano Dafarra , Giulio Romualdi , Giorgio Metta , Daniele Pucci

Recently reinforcement learning (RL) has emerged as a promising approach for quadrupedal locomotion, which can save the manual effort in conventional approaches such as designing skill-specific controllers. However, due to the complex…

Robotics · Computer Science 2021-09-17 Haojie Shi , Bo Zhou , Hongsheng Zeng , Fan Wang , Yueqiang Dong , Jiangyong Li , Kang Wang , Hao Tian , Max Q. -H. Meng

Unlike their biological cousins, the majority of existing quadrupedal robots are constructed with rigid chassis. This results in motion that is either beetle-like or distinctly robotic, lacking the natural fluidity characteristic of…

Robotics · Computer Science 2025-05-06 Nicholas Hafner , Chaoran Liu , Carlos Ishi , Hiroshi Ishiguro

For legged robots to match the athletic capabilities of humans and animals, they must not only produce robust periodic walking and running, but also seamlessly switch between nominal locomotion gaits and more specialized transient…

Robotics · Computer Science 2022-07-19 Fangzhou Yu , Ryan Batke , Jeremy Dao , Jonathan Hurst , Kevin Green , Alan Fern

There is a growing interest in learning a velocity command tracking controller of quadruped robot using reinforcement learning due to its robustness and scalability. However, a single policy, trained end-to-end, usually shows a single gait…

Robotics · Computer Science 2021-12-10 Yunho Kim , Bukun Son , Dongjun Lee

The hybrid zero dynamics control concept for bipedal walking is extended to include a non-instantaneous double support phase. A symmetric robot that consists of five rigid body segments which are connected by four actuated revolute joints…

Robotics · Computer Science 2023-03-10 Yinnan Luo , Ulrich J. Römer , Alexander Dyck , Marten Zirkel , Lena Zentner , Alexander Fidlin

Performing trajectory design for humanoid robots with high degrees of freedom is computationally challenging. The trajectory design process also often involves carefully selecting various hyperparameters and requires a good initial guess…

Robotics · Computer Science 2024-12-18 Bohao Zhang , Ram Vasudevan

The subject of this paper is about the kinematic analysis and the trajectory planning of the Orthoglide 5-axis. The Orthoglide 5-axis a five degrees of freedom parallel kinematic machine developed at IRCCyN and is made up of a hybrid…

Robotics · Computer Science 2015-05-27 S Caro , Damien Chablat , P Lemoine , P Wenger

Bipedal balance is challenging due to its multi-phase, hybrid nature and high-dimensional state space. Traditional balance control approaches for bipedal robots rely on low-dimensional models for locomotion planning and reactive control,…

Robotics · Computer Science 2025-11-04 Suraj Kumar , Andy Ruina