🤖 AI Summary
This study investigates the influence of leg stiffness on energy efficiency in monopedal hopping robots and develops optimization strategies. A periodic hopping dynamical model is formulated, and parametric optimal control—implemented via direct collocation—is employed to systematically compare fixed- versus variable-stiffness strategies across a broad forward velocity range. Results quantitatively demonstrate that variable stiffness significantly improves energy efficiency, achieving an average reduction in energy consumption of 6.8% and up to 20% at peak. Crucially, the efficiency gain exhibits a non-monotonic dependence on forward velocity, confirming the necessity of dynamic, task-dependent stiffness modulation. This work challenges the conventional “constant-stiffness” design paradigm for legged robots and establishes a theoretical foundation and quantitative design framework for active stiffness control in elastic-legged systems.
📝 Abstract
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.