English

Realtime Limb Trajectory Optimization for Humanoid Running Through Centroidal Angular Momentum Dynamics

Robotics 2025-09-04 v3

Abstract

One of the essential aspects of humanoid robot running is determining the limb-swinging trajectories. During the flight phases, where the ground reaction forces are not available for regulation, the limb swinging trajectories are significant for the stability of the next stance phase. Due to the conservation of angular momentum, improper leg and arm swinging results in highly tilted and unsustainable body configurations at the next stance phase landing. In such cases, the robotic system fails to maintain locomotion independent of the stability of the center of mass trajectories. This problem is more apparent for fast and high flight time trajectories. This paper proposes a real-time nonlinear limb trajectory optimization problem for humanoid running. The optimization problem is tested on two different humanoid robot models, and the generated trajectories are verified using a running algorithm for both robots in a simulation environment.

Keywords

Cite

@article{arxiv.2501.17351,
  title  = {Realtime Limb Trajectory Optimization for Humanoid Running Through Centroidal Angular Momentum Dynamics},
  author = {Sait Sovukluk and Robert Schuller and Johannes Englsberger and Christian Ott},
  journal= {arXiv preprint arXiv:2501.17351},
  year   = {2025}
}

Comments

This paper has been accepted for publication at the IEEE International Conference on Robotics and Automation (ICRA), Atlanta 2025. Link to video: https://www.youtube.com/watch?v=czfHjwh_A0Y

R2 v1 2026-06-28T21:23:03.740Z