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In the area of bipedal locomotion, the spring loaded inverted pendulum (SLIP) model has been proposed as a unified framework to explain the dynamics of a wide variety of gaits. In this paper, we present a novel analysis of the mathematical…

Robotics · Computer Science 2011-08-24 Harold Roberto Martinez Salazar , Juan Pablo Carbajal

Robust and energy-efficient bipedal locomotion in robotics is still a challenging topic. In order to address issues in this field, we can take inspiration from nature, by studying human locomotion. The Spring-Loaded Inverted Pendulum (SLIP)…

Robotics · Computer Science 2017-06-02 Ludo C. Visser , Stefano Stramigioli , Raffaella Carloni

Quadrupedal animals employ diverse galloping strategies to optimize speed, stability, and energy efficiency. However, the biomechanical mechanisms that enable adaptive gait transitions during high-speed locomotion under load remain poorly…

Systems and Control · Electrical Eng. & Systems 2025-12-25 Jiayu Ding , Benjamin Seleb , Heather J. Huson , Saad Bhamla , Zhenyu Gan

Spring Loaded Inverted Pendulum (SLIP) model has a long history in describing running behavior in animals and humans as well as has been used as a design basis for robots capable of dynamic locomotion. Anchoring the SLIP for lossy physical…

Robotics · Computer Science 2015-06-08 H. Eftun Orhon , Caner Odabas , Ismail Uyanik , Omer Morgul , Uluc Saranli

A long-standing argument in model-based control of locomotion is about the level of complexity that a model should have to define a behavior such as running. Even though goldilocks model based on biomechanical evidence is often sought, it…

Robotics · Computer Science 2020-01-03 Gorkem Secer , Ali Levent Cinar

Spring-mass models are well established tools for the analysis and control of legged locomotion. Among the alternatives, spring-loaded inverted pendulum (SLIP) model has shown to be a very accurate descriptor of animal locomotion. Despite…

Robotics · Computer Science 2018-02-28 Hasan Eftun Orhon

Stable bipedal walking is a key prerequisite for humanoid robots to reach their potential of being versatile helpers in our everyday environments. Bipedal walking is, however, a complex motion that requires the coordination of many degrees…

Robotics · Computer Science 2020-11-06 Marcell Missura , Maren Bennewitz , Sven Behnke

In this paper, we present a new model of biped locomotion which is composed of three linear pendulums (one per leg and one for the whole upper body) to describe stance, swing and torso dynamics. In addition to double support, this model has…

Robotics · Computer Science 2016-05-11 Salman Faraji , Auke J. Ijspeert

Achieving stable and robust perceptive locomotion for bipedal robots in unstructured outdoor environments remains a critical challenge due to complex terrain geometry and susceptibility to external disturbances. In this work, we propose a…

Robotics · Computer Science 2025-10-21 Haokai Su , Haoxiang Luo , Shunpeng Yang , Kaiwen Jiang , Wei Zhang , Hua Chen

Foot slip is a major source of instability in bipedal locomotion on low-friction or uncertain terrain. Standard control approaches typically assume no-slip contact and therefore degrade when slip occurs. We propose a control framework that…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Leonardo Colombo , Álvaro Rodríguez Abella , Alexandre Anahory Simoes , Anthony Bloch

Bipedal walking is one of the most important hallmarks of human that robots have been trying to mimic for many decades. Although previous control methodologies have achieved robot walking on some terrains, there is a need for a framework…

Robotics · Computer Science 2025-12-01 Chrysostomos Karakasis , Ioannis Poulakakis , Panagiotis Artemiadis

In this work, we introduce a control framework that combines model-based footstep planning with Reinforcement Learning (RL), leveraging desired footstep patterns derived from the Linear Inverted Pendulum (LIP) dynamics. Utilizing the LIP…

Robotics · Computer Science 2024-08-06 Ho Jae Lee , Seungwoo Hong , Sangbae Kim

We propose a hybrid formulation of the linear inverted pendulum model for bipedal locomotion, where the foot switches are triggered based on the center of mass position, removing the need for pre-defined footstep timings. Using a concept…

Systems and Control · Electrical Eng. & Systems 2024-05-06 Riccardo Bertollo , Gianni Lunardi , Andrea Del Prete , Luca Zaccarian

State-of-the-art approaches to legged locomotion are widely dependent on the use of models like the linear inverted pendulum (LIP) and the spring-loaded inverted pendulum (SLIP), popular because their simplicity enables a wide array of…

Robotics · Computer Science 2019-09-24 Yu-Ming Chen , Michael Posa

This study presents a theoretical framework for planning and controlling agile bipedal locomotion based on robustly tracking a set of non-periodic apex states. Based on the prismatic inverted pendulum model, we formulate a hybrid…

Robotics · Computer Science 2015-11-17 Ye Zhao , Benito R. Fernandez , Luis Sentis

In this paper, we present a novel control framework to achieve robust push recovery on bipedal robots while locomoting. The key contribution is the unification of hybrid system models of locomotion with a reduced-order model predictive…

Robotics · Computer Science 2025-04-29 Min Dai , Aaron D. Ames

We present an advanced and novel control method to enable actuated Spring Loaded Inverted Pendulum model to walk over rough and challenging terrains. The high-level philosophy is the decoupling of the controls of the vertical and horizontal…

Robotics · Computer Science 2021-11-04 Xiaobin Xiong , Aaron Ames

Achieving versatile and explosive motion with robustness against dynamic uncertainties is a challenging task. Introducing parallel compliance in quadrupedal design is deemed to enhance locomotion performance, which, however, makes the…

Robotics · Computer Science 2025-04-18 Jiatao Ding , Peiyu Yang , Fabio Boekel , Jens Kober , Wei Pan , Matteo Saveriano , Cosimo Della Santina

In this paper, we present an energy-conservation based control architecture for stable dynamic motion in quadruped robots. We model the robot as a Spring-loaded Inverted Pendulum (SLIP), a model well-suited to represent the bouncing motion…

Robotics · Computer Science 2025-11-10 Muhammad Saud Ul Hassan , Derek Vasquez , Hamza Asif , Christian Hubicki

This paper proposes a safety-critical locomotion control framework employed for legged robots exploring through infeasible path in obstacle-rich environments. Our research focus is on achieving safe and robust locomotion where robots…

Robotics · Computer Science 2024-09-17 Jaemin Lee , Min Dai , Jeeseop Kim , Aaron D. Ames
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