arXiv Machine Learning

End-to-End Learning of Safe Optimal Feedback Control in High Dimensions with Control Barrier Function Layers

arXiv:2607. 20674v1 Announce Type: new Abstract: We consider the problem of learning high-dimensional semi-global feedback controllers under hard safety constraints enforced by control barrier functions (CBFs).

arXiv Machine Learning
Sep 14

VertexCBF: Improving Neural Control Barrier Functions via Vertex-Restricted Control Search

VertexCBF is a framework that learns neural control barrier functions (CBFs) by approximating the stationary Hamilton–Jacobi value function with a neural network trained through physics‑informed and sparsely supervised learning. It exploits control‑affine dynamics and a convex polytope control set to generate supervision points via GPU‑parallel vertex‑restricted tree search, ensuring the learned CBF never exceeds the specified constraint function. The method was evaluated on 15 systems, outperforming baselines by recovering larger safe sets, and demonstrated on a mobile robot that safely avoids pedestrians using a neural CBF trained with this approach.

By Bojan Deraji\'c, Sebastian Bernhard, Wolfgang H\"onig
arXiv Machine Learning
Sep 24

LEAP-CBF: A Safety Filter for Uncertain Systems with Least-Effort Adversarial Potentials

The paper introduces LEAP-CBF, a safety filter that uses Least‑Effort Adversarial Potentials to quantify how much disturbance effort is needed to cause failure in nonlinear dynamical systems. LEAP serves as a control barrier function for the undisturbed system and can be combined with a robust safety filter that tolerates disturbances with bounded cumulative effort. The authors develop a deep reinforcement learning method to construct LEAPs and validate their effectiveness through simulations of multi‑agent systems and hardware experiments on a quadruped and quadrotors.

By Oswin So, Eric Yu, Chuchu Fan