A Novel Approximation for the Spring Loaded Inverted Pendulum Model of Locomotion

A.U. Kilic and D.J. Braun, A Novel Approximation for the Spring-Loaded Inverted Pendulum Model of Locomotion, IEEE International Conference on Intelligent Robots and Systems, pp. 4315-4321, October 1 – 5, Detroit, MI, USA, 2023.

This paper introduces a new analytical approximation of the Spring-Loaded Inverted Pendulum (SLIP) model, widely used to study and control legged locomotion. Unlike previous approximations that assume small and symmetric step lengths, the proposed method accurately predicts stability for large and asymmetric steps. Based on this approximation, the authors design a stiffness control strategy that can stabilize the SLIP model within just a few steps.

Why it matters: The SLIP model underpins many theories of robot and animal locomotion but has been limited by a lack of closed-form solutions. This work overcomes that barrier, offering a powerful analytical tool for designing more robust and adaptable control strategies in legged robots.