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Related papers: Stabilization of Energy-Conserving Gaits for Point…

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The problem of orbital stabilization of underactuated mechanical systems with one passive degree-of-freedom (DOF) is revisited. Virtual holonomic constraints are enforced using a continuous controller; this results in a dense set of closed…

Systems and Control · Electrical Eng. & Systems 2020-12-21 Nilay Kant , Ranjan Mukherjee

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

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

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

In bipedal gait design literature, one of the common ways of generating stable 3D walking gait is by designing the frontal and sagittal controllers as decoupled dynamics. The study of the decoupled frontal dynamics is, however, still…

Robotics · Computer Science 2019-05-01 Arthur de Oliveira , Guilherme Vicinansa , Paulo da Silva , Bruno Angélico

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 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 legged locomotion, the relationship between different gait behaviors and energy consumption must consider the full-body dynamics and the robot control as a whole, which cannot be captured by simple models. This work studies the robot…

Robotics · Computer Science 2021-05-04 Christopher McGreavy , Zhibin Li

Safe path and gait planning are essential for bipedal robots to navigate complex real-world environments. The prevailing approaches often plan the path and gait separately in a hierarchical fashion, potentially resulting in unsafe movements…

Robotics · Computer Science 2024-03-27 Chengyang Peng , Victor Paredes , Ayonga Hereid

Bipedal robots have received much attention because of the variety of motion maneuvers that they can produce, and the many applications they have in various areas including rehabilitation. One of these motion maneuvers is walking. In this…

Robotics · Computer Science 2023-01-03 Aref Amiri , Hassan Salarieh

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

In this work, we present a nonlinear dynamics perspective on generating and connecting gaits for energetically conservative models of legged systems. In particular, we show that the set of conservative gaits constitutes a connected space of…

Robotics · Computer Science 2024-02-12 Maximilian Raff , Nelson Rosa , C. David Remy

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

Practical bipedal robot locomotion needs to be both energy efficient and robust to variability and uncertainty. In this paper, we build upon recent works in trajectory optimization for robot locomotion with two primary goals. First, we wish…

Robotics · Computer Science 2018-07-27 Nihar Talele , Katie Byl

For a class of biped robots with impulsive dynamics and a non-empty set of passive gaits (unactuated, periodic motions of the biped model), we present a method for computing continuous families of locally optimal gaits with respect to a…

Robotics · Computer Science 2024-02-15 Nelson Rosa , Bassel Katamish , Maximilian Raff , C. David Remy

Poincare return maps are a fundamental tool for analyzing periodic orbits in hybrid dynamical systems, including legged locomotion, power electronics, and other cyber-physical systems with switching behavior. The Poincare return map…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Varun Madabushi , Elizabeth Dietrich , Hanna Krasowski , Maegan Tucker

Wheeled-legged robots combine the efficiency of wheels with the versatility of legs, but face significant energy optimization challenges when navigating diverse environments. In this work, we present a hierarchical control framework that…

Robotics · Computer Science 2026-01-19 Xu Yang , Wei Yang , Kaibo He , Bo Yang , Yanan Sui , Yilin Mo

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

This paper presents a framework that leverages both control theory and machine learning to obtain stable and robust bipedal locomotion without the need for manual parameter tuning. Traditionally, gaits are generated through trajectory…

Robotics · Computer Science 2021-03-31 Maegan Tucker , Noel Csomay-Shanklin , Wen-Loong Ma , Aaron D. Ames

Stability of bipedal systems in frontal plane is affected by the hip offset, to the extent that adjusting stride time using feedforward retraction and extension of the legs can lead to stable oscillations without feedback control. This…

Robotics · Computer Science 2025-10-28 Harsha Karunanayaka , Siavash Rezazadeh
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