Zero dynamics, pendulum models, and angular momentum in feedback control of bipedal locomotion

Y Gong, JW Grizzle - Journal of Dynamic Systems …, 2022 - asmedigitalcollection.asme.org
Low-dimensional models are ubiquitous in the bipedal robotics literature. On the one hand
is the community of researchers that bases feedback control design on pendulum models …

Combining trajectory optimization, supervised machine learning, and model structure for mitigating the curse of dimensionality in the control of bipedal robots

X Da, J Grizzle - The International Journal of Robotics …, 2019 - journals.sagepub.com
To overcome the obstructions imposed by high-dimensional bipedal models, we embed a
stable walking motion in an attractive low-dimensional surface of the system's state space …

Multicontact locomotion on transfemoral prostheses via hybrid system models and optimization-based control

H Zhao, J Horn, J Reher, V Paredes… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
Lower-limb prostheses provide a prime example of cyber-physical systems (CPSs) requiring
the synergistic development of sensing, algorithms, and controllers. With a view towards …

Decentralized feedback controllers for robust stabilization of periodic orbits of hybrid systems: Application to bipedal walking

KA Hamed, RD Gregg - IEEE Transactions on Control Systems …, 2016 - ieeexplore.ieee.org
This paper presents a systematic algorithm to design time-invariant decentralized feedback
controllers to exponentially and robustly stabilize periodic orbits for hybrid dynamical …

Natural multicontact walking for robotic assistive devices via musculoskeletal models and hybrid zero dynamics

K Li, M Tucker, R Gehlhar, Y Yue… - IEEE Robotics and …, 2022 - ieeexplore.ieee.org
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 …

Reduced-order framework for exponential stabilization of periodic orbits on parameterized hybrid zero dynamics manifolds: Application to bipedal locomotion

KA Hamed, JW Grizzle - Nonlinear Analysis: Hybrid Systems, 2017 - Elsevier
This paper shows how controlled-invariant manifolds in hybrid dynamical systems can be
used to reduce the offline computational burden associated with locally exponentially …

Analysis of human ambulation as a chaotic time-series: with nonlinear dynamics tools

M Al Kouzbary, H Al Kouzbary, J Liu… - Computer Methods in …, 2024 - Taylor & Francis
The aim of the present study is to investigate the complexity and stability of human
ambulation and the implications on robotic prostheses control systems. Fourteen healthy …

Stabilization of 3D underactuated biped robots: Using posture adjustment and gait libraries to reject velocity disturbances

R Hartley, X Da, JW Grizzle - 2017 IEEE conference on control …, 2017 - ieeexplore.ieee.org
This paper presents a systematic, two-stage optimization process for the design and
stabilization of periodic walking gaits based on the full 3D dynamic model of a robot. After …

3D multi-contact gait design for prostheses: Hybrid system models, virtual constraints and two-step direct collocation

H Zhao, A Hereid, E Ambrose… - 2016 IEEE 55th …, 2016 - ieeexplore.ieee.org
Virtual constraints have been recognized as an essential bridging tool which has the
potential to translate rich nonlinear bipedal control methodologies to the control of …

Contact-aided state estimation on lie groups for legged robot mapping and control

M Hartley - 2019 - deepblue.lib.umich.edu
Legged robots have the potential to transform the logistics and package delivery industries,
become assistants in our homes, and aide in search and rescue. Although many wheeled …