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This paper aims to develop distributed feedback control algorithms that allow cooperative locomotion of quadrupedal robots which are coupled to each other by holonomic constraints. These constraints can arise from collaborative manipulation…

Optimization and Control · Mathematics 2019-10-03 Kaveh Akbari Hamed , Vinay R. Kamidi , Abhishek Pandala , Wen-Loong Ma , Aaron D. Ames

This paper presents a systematic approach to exponentially stabilize the periodic orbits of multi-domain hybrid systems arising from 3D bipedal walking. Firstly, the method of Poincare sections is extended to the hybrid systems with…

Systems and Control · Computer Science 2016-07-20 Chunbiao Gan , Haihui Yuan , Shixi Yang , Yimin Ge

The hybrid zero dynamics (HZD) approach has become a powerful tool for the gait planning and control of bipedal robots. This paper aims to extend the HZD methods to address walking, ambling and trotting behaviors on a quadrupedal robot. We…

Robotics · Computer Science 2019-09-19 Wen-Loong Ma , Kaveh Akbari Hamed , Aaron D. Ames

This paper presents three feedback controllers that achieve an asymptotically stable, periodic, and fast walking gait for a 3D (spatial) bipedal robot consisting of a torso, two legs, and passive (unactuated) point feet. The contact between…

Robotics · Computer Science 2010-02-18 Christine Chevallereau , Jessy W. Grizzle , Ching-Long Shih

This paper presents a hierarchical control strategy based on hybrid systems theory, nonlinear control, and safety-critical systems to enable cooperative locomotion of robotic guide dogs and visually impaired people. We address…

Optimization and Control · Mathematics 2019-04-08 Kaveh Akbari Hamed , Vinay R. Kamidi , Wen-Loong Ma , Alexander Leonessa , Aaron D. Ames

Underactuation is ubiquitous in human locomotion and should be ubiquitous in bipedal robotic locomotion as well. This chapter presents a coherent theory for the design of feedback controllers that achieve stable walking gaits in…

Robotics · Computer Science 2017-06-06 Jessy W Grizzle , Christine Chevallereau

A safety-critical measure of legged locomotion performance is a robot's ability to track its desired time-varying position trajectory in an environment, which is herein termed as "global-position tracking". This paper introduces a nonlinear…

Robotics · Computer Science 2021-08-10 Yan Gu , Yuan Gao , Bin Yao , C. S. George Lee

This study presents a theoretical framework for planning and controlling agile bipedal locomotion based on robustly tracking a set of non-periodic apex states. Based on the prismatic inverted pendulum model, we formulate a hybrid…

Robotics · Computer Science 2015-11-17 Ye Zhao , Benito R. Fernandez , Luis Sentis

In this paper, we will report our efforts in designing closed-loop feedback for the thruster-assisted walking of bipedal robots. We will assume for well-tuned supervisory controllers and will focus on fine-tuning the joints desired…

Robotics · Computer Science 2020-05-04 Pravin Dangol , Alireza Ramezani

This study presents a theoretical method for planning and controlling agile bipedal locomotion based on robustly tracking a set of non-periodic keyframe states. Based on centroidal momentum dynamics, we formulate a hybrid phase-space…

Robotics · Computer Science 2017-08-23 Ye Zhao , Benito R. Fernandez , Luis Sentis

This paper applies a recently developed geometric PID controller to stabilize a three-link planar bipedal hybrid dynamic walking model. The three links represent the robot torso and two kneeless legs, with an independent control torque…

Systems and Control · Computer Science 2020-11-18 W. M. L. T. Weerakoon , T. W. U. Madhushani , D. H. S. Maithripala , J. M. Berg

We present a novel method of optimal robust control through quadratic programs that offers tracking stability while subject to input and state-based constraints as well as safety-critical constraints for nonlinear dynamical robotic systems…

Systems and Control · Electrical Eng. & Systems 2021-04-14 Quan Nguyen , Koushil Sreenath

Locomotion on dynamic rigid surface (i.e., rigid surface accelerating in an inertial frame) presents complex challenges for controller design, which are essential for deploying humanoid robots in dynamic real-world environments such as…

Robotics · Computer Science 2024-09-16 Yuan Gao , Victor Paredes , Yukai Gong , Zijian He , Ayonga Hereid , Yan Gu

Bipedal walking is one of the most important hallmarks of human that robots have been trying to mimic for many decades. Although previous control methodologies have achieved robot walking on some terrains, there is a need for a framework…

Robotics · Computer Science 2025-12-01 Chrysostomos Karakasis , Ioannis Poulakakis , Panagiotis Artemiadis

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

Wheeled bipedal robots have garnered increasing attention in exploration and inspection. However, most research simplifies calculations by ignoring leg dynamics, thereby restricting the robot's full motion potential. Additionally, robots…

Robotics · Computer Science 2025-11-11 Cong Wen , Yunfei Li , Kexin Liu , Yixin Qiu , Xuanhong Liao , Tianyu Wang , Dingchuan Liu , Tao Zhang , Ximin Lyu

This paper seeks insight into stabilization mechanisms for periodic walking gaits in 3D bipedal robots. Based on this insight, a control strategy based on virtual constraints, which imposes coordination between joints rather than a temporal…

Robotics · Computer Science 2017-07-10 Christine Chevallereau , Hamed Razavi , Damien Six , Yannick Aoustin , Jessy Grizzle

In this paper, we present a novel control framework to achieve robust push recovery on bipedal robots while locomoting. The key contribution is the unification of hybrid system models of locomotion with a reduced-order model predictive…

Robotics · Computer Science 2025-04-29 Min Dai , Aaron D. Ames

Foot slip is a major source of instability in bipedal locomotion on low-friction or uncertain terrain. Standard control approaches typically assume no-slip contact and therefore degrade when slip occurs. We propose a control framework that…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Leonardo Colombo , Álvaro Rodríguez Abella , Alexandre Anahory Simoes , Anthony Bloch

Accurate control of a humanoid robot's global position (i.e., its three-dimensional position in the world) is critical to the reliable execution of high-risk tasks such as avoiding collision with pedestrians in a crowded environment. This…

Robotics · Computer Science 2023-04-28 Yuan Gao , Kentaro Barhydt , Christopher Niezrecki , Yan Gu
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