Achieving Safe Control Online through Integration of Harmonic Control Lyapunov-Barrier Functions with Unsafe Object-Centric Action Policies

Marlow Fawn
(Tufts University)
Matthias Scheutz
(Tufts University)

We propose a method for combining Harmonic Control Lyapunov-Barrier Functions (HCLBFs) derived from Signal Temporal Logic (STL) specifications with any given robot policy to turn an unsafe policy into a safe one with formal guarantees. The two components are combined via HCLBF-derived safety certificates, thus producing commands that preserve both safety and task-driven behavior. We demonstrate with a simple proof-of-concept implementation for an object-centric force-based policy trained through reinforcement learning for a movement task of a stationary robot arm that is able to avoid colliding with obstacles on a table top after combining the policy with the safety constraints. The proposed method can be generalized to more complex specifications and dynamic task settings.

In Matt Luckcuck, Maike Schwammberger and Mengwei Xu: Proceedings Seventh International Workshop on Formal Methods for Autonomous Systems (FMAS 2025), Paris, 17th to 19th of November 2025, Electronic Proceedings in Theoretical Computer Science 436, pp. 69–79.
Published: 17th November 2025.

ArXived at: https://dx.doi.org/10.4204/EPTCS.436.7 bibtex PDF
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