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Bibliographic Details
Main Authors: Fadini, G., Coros, S.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2412.06776
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author Fadini, G.
Coros, S.
author_facet Fadini, G.
Coros, S.
contents We present a novel approach to quantifying and optimizing stability in robotic systems based on the Lyapunov exponents addressing an open challenge in the field of robot analysis, design, and optimization. Our method leverages differentiable simulation over extended time horizons. The proposed metric offers several properties, including a natural extension to limit cycles commonly encountered in robotics tasks and locomotion. We showcase, with an ad-hoc JAX gradient-based optimization framework, remarkable power, and flexi-bility in tackling the robustness challenge. The effectiveness of our approach is tested through diverse scenarios of varying complexity, encompassing high-degree-of-freedom systems and contact-rich environments. The positive outcomes across these cases highlight the potential of our method in enhancing system robustness.
format Preprint
id arxiv_https___arxiv_org_abs_2412_06776
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Enhancing Robotic System Robustness via Lyapunov Exponent-Based Optimization
Fadini, G.
Coros, S.
Robotics
We present a novel approach to quantifying and optimizing stability in robotic systems based on the Lyapunov exponents addressing an open challenge in the field of robot analysis, design, and optimization. Our method leverages differentiable simulation over extended time horizons. The proposed metric offers several properties, including a natural extension to limit cycles commonly encountered in robotics tasks and locomotion. We showcase, with an ad-hoc JAX gradient-based optimization framework, remarkable power, and flexi-bility in tackling the robustness challenge. The effectiveness of our approach is tested through diverse scenarios of varying complexity, encompassing high-degree-of-freedom systems and contact-rich environments. The positive outcomes across these cases highlight the potential of our method in enhancing system robustness.
title Enhancing Robotic System Robustness via Lyapunov Exponent-Based Optimization
topic Robotics
url https://arxiv.org/abs/2412.06776