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Main Authors: Khemakhem, Iskandar, Tschemernjak, Dominik, Raff, Maximilian, Remy, C. David
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2501.03971
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author Khemakhem, Iskandar
Tschemernjak, Dominik
Raff, Maximilian
Remy, C. David
author_facet Khemakhem, Iskandar
Tschemernjak, Dominik
Raff, Maximilian
Remy, C. David
contents In the fields of robotics and biomechanics, the integration of elastic elements such as springs and tendons in legged systems has long been recognized for enabling energy-efficient locomotion. Yet, a significant challenge persists: designing a robotic leg that perform consistently across diverse operating conditions, especially varying average forward speeds. It remains unclear whether, for such a range of operating conditions, the stiffness of the elastic elements needs to be varied or if a similar performance can be obtained by changing the motion and actuation while keeping the stiffness fixed. This work explores the influence of the leg stiffness on the energy efficiency of a monopedal robot through an extensive parametric study of its periodic hopping motion. To this end, we formulate an optimal control problem parameterized by average forward speed and leg stiffness, solving it numerically using direct collocation. Our findings indicate that, compared to the use of a fixed stiffness, employing variable stiffness in legged systems improves energy efficiency by 20 % maximally and by 6.8 % on average across a range of speeds.
format Preprint
id arxiv_https___arxiv_org_abs_2501_03971
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle How Leg Stiffness Affects Energy Economy in Hopping
Khemakhem, Iskandar
Tschemernjak, Dominik
Raff, Maximilian
Remy, C. David
Robotics
In the fields of robotics and biomechanics, the integration of elastic elements such as springs and tendons in legged systems has long been recognized for enabling energy-efficient locomotion. Yet, a significant challenge persists: designing a robotic leg that perform consistently across diverse operating conditions, especially varying average forward speeds. It remains unclear whether, for such a range of operating conditions, the stiffness of the elastic elements needs to be varied or if a similar performance can be obtained by changing the motion and actuation while keeping the stiffness fixed. This work explores the influence of the leg stiffness on the energy efficiency of a monopedal robot through an extensive parametric study of its periodic hopping motion. To this end, we formulate an optimal control problem parameterized by average forward speed and leg stiffness, solving it numerically using direct collocation. Our findings indicate that, compared to the use of a fixed stiffness, employing variable stiffness in legged systems improves energy efficiency by 20 % maximally and by 6.8 % on average across a range of speeds.
title How Leg Stiffness Affects Energy Economy in Hopping
topic Robotics
url https://arxiv.org/abs/2501.03971