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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

As humanoid robots enter real-world environments, ensuring robust locomotion across diverse environments is crucial. This paper presents a computationally efficient hierarchical control framework for humanoid robot locomotion based on…

Robotics · Computer Science 2025-09-08 Adrian B. Ghansah , Sergio A. Esteban , Aaron D. Ames

In this paper, we present an energy-conservation based control architecture for stable dynamic motion in quadruped robots. We model the robot as a Spring-loaded Inverted Pendulum (SLIP), a model well-suited to represent the bouncing motion…

Robotics · Computer Science 2025-11-10 Muhammad Saud Ul Hassan , Derek Vasquez , Hamza Asif , Christian Hubicki

We present a new framework to generate human-like lower-limb trajectories in periodic and non-periodic walking conditions. In our method, walking dynamics is encoded in 3LP, a linear simplified model composed of three pendulums to model…

Robotics · Computer Science 2018-03-28 Salman Faraji , Auke Jan Ijspeert

Bipedal robots demonstrate potential in navigating challenging terrains through dynamic ground contact. However, current frameworks often depend solely on proprioception or use manually designed visual pipelines, which are fragile in…

Robotics · Computer Science 2025-08-12 Minku Kim , Brian Acosta , Pratik Chaudhari , Michael Posa

This paper presents a hierarchical control framework that enables robust quadrupedal locomotion on a dynamic rigid surface (DRS) with general and unknown vertical motions. The key novelty of the framework lies in its higher layer, which is…

Robotics · Computer Science 2024-03-26 Amir Iqbal , Sushant Veer , Christopher Niezrecki , Yan Gu

Capturability analysis of the linear inverted pendulum (LIP) model enabled walking with constrained height based on the capture point. We generalize this analysis to the variable-height inverted pendulum (VHIP) and show how it enables 3D…

Robotics · Computer Science 2018-10-26 Stéphane Caron , Adrien Escande , Leonardo Lanari , Bastien Mallein

One common method for stabilizing robots after a push is the Instantaneous Capture Point, however, this has the fundamental limitation of assuming constant height. Although there are several works for balancing bipedal robots including…

Robotics · Computer Science 2019-12-13 Gabriel Garcia , Robert Griffin , Jerry Pratt

Hybrid systems theory has become a powerful approach for designing feedback controllers that achieve dynamically stable bipedal locomotion, both formally and in practice. This paper presents an analytical framework 1) to address…

Optimization and Control · Mathematics 2018-10-17 Kaveh Akbari Hamed , Wen-Loong , Aaron D. Ames

We present a control framework that enables humanoid robots to perform collaborative transportation tasks with a human partner. The framework supports both translational and rotational motions, which are fundamental to co-transport…

Robotics · Computer Science 2025-12-09 Shubham S. Kumbhar , Abhijeet M. Kulkarni , Panagiotis Artemiadis

Bipedal robots are essentially unstable because of their complex kinematics as well as high dimensional state space dynamics, hence control and generation of stable walking is a complex subject and still one of the active topics in the…

Robotics · Computer Science 2019-06-06 Mohammadreza Kasaei , Nuno Lau , Artur Pereira

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

This paper presents the design and validation of controlling hopping on the 3D bipedal robot Cassie. A spring-mass model is identified from the kinematics and compliance of the robot. The spring stiffness and damping are encapsulated by the…

Robotics · Computer Science 2018-08-06 Xiaobin Xiong , Aaron Ames

This work presents algorithms for the feedback-stabilised walking of bipedal humanoid robotic platforms, along with the underlying theoretical and sensorimotor frameworks required to achieve it. Bipedal walking is inherently complex and…

Robotics · Computer Science 2020-12-24 Philipp Allgeuer

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

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

Stable bipedal walking is a key prerequisite for humanoid robots to reach their potential of being versatile helpers in our everyday environments. Bipedal walking is, however, a complex motion that requires the coordination of many degrees…

Robotics · Computer Science 2020-11-06 Marcell Missura , Maren Bennewitz , Sven Behnke

We present a real-time pattern generator for dynamic walking over rough terrains. Our method automatically finds step durations, a critical issue over rough terrains where they depend on terrain topology. To achieve this level of…

Robotics · Computer Science 2017-07-26 Stéphane Caron , Abderrahmane Kheddar

We present a new walking controller based on 3LP, a 3D model of bipedal walking that is composed of three pendulums to simulate falling, swing and torso dynamics. Taking advantage of linear equations and closed-form solutions of 3LP, the…

Robotics · Computer Science 2018-01-09 Salman Faraji , Philippe Muellhaupt , Auke J. Ijspeert

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