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

📅 2025-11-18
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🤖 AI Summary
This work addresses the lack of formal safety guarantees in robotic control policies. We propose a Signal Temporal Logic (STL)-driven online safety enhancement framework. Methodologically, we introduce the first integration of Harmonic Control Lyapunov–Barrier Functions (HCLBFs) with object-centric action policies, enabling real-time filtering of arbitrary base policies (e.g., reinforcement learning policies) via a safety certification mechanism to generate control commands that simultaneously achieve task performance and provably correct collision avoidance. Our contributions are twofold: (1) a systematic mapping from STL-specifiable safety constraints to HCLBFs, ensuring formal verifiability; and (2) co-optimization of safety assurance and policy behavior fidelity. In physical experiments on force-controlled obstacle avoidance with a fixed-base manipulator, the framework successfully transforms an initially unsafe policy into one satisfying STL-defined hard safety constraints, markedly improving robustness and formal verifiability.

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📝 Abstract
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.
Problem

Research questions and friction points this paper is trying to address.

Transforming unsafe robot policies into safe ones with formal guarantees
Preserving both safety constraints and task-driven behavior simultaneously
Preventing robot collisions with obstacles while executing movement tasks
Innovation

Methods, ideas, or system contributions that make the work stand out.

Integrates harmonic control Lyapunov-barrier functions with robot policies
Uses safety certificates to enforce formal safety guarantees
Modifies unsafe policies to maintain safety and task performance
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