Feasibility-aware Learning of Robust Temporal Logic Controllers using BarrierNet
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Abstract (arXiv)
Control Barrier Functions (CBFs) have been used to enforce safety and task specifications expressed in Signal Temporal Logic (STL). However, existing CBF-STL approaches typically rely on fixed hyperparameters and per-step optimization, which can lead to overly conservative behavior, infeasibility near tight input limits, and difficulty satisfying long-horizon STL tasks. To address these limitations, we propose a feasibility-aware learning framework that constructs trainable, time-varying High Order Control Barrier Function (HOCBF) constraints and hyperparameters that guarantee satisfaction of a given STL specification. We introduce a unified robustness measure that jointly captures STL satisfaction, constraint feasibility, and control-bound compliance, and propose a neural network architecture to generate control inputs that maximize this robustness. The resulting controller guarantees STL satisfaction with strictly feasible HOCBF constraints and requires no manual tuning. Simulation results demonstrate that the proposed framework maintains high STL robustness under tight input bounds and significantly outperforms fixed-parameter and non-adaptive baselines in complex environments.
Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 25 of its 44 references that are in the map. First posted on arXiv 7 Dec 2025.
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References · 25
- 2017OptNet: Differentiable Optimization as a Layer in Neural Networkscited by 599
- 2016Control Barrier Function Based Quadratic Programs for Safety Critical Systemscited by 287
- 2016Q-Learning for Robust Satisfaction of Signal Temporal Logic Specificationscited by 67
- 2020Backpropagation through Signal Temporal Logic Specifications: Infusing Logical Structure into Gradient-Based Methodscited by 54
- 2020On Robustness Metrics for Learning STL Taskscited by 27
- 2020Tractable Reinforcement Learning of Signal Temporal Logic Objectivescited by 22
- 2015Robust Temporal Logic Model Predictive Controlcited by 21
- 2020A Smooth Robustness Measure of Signal Temporal Logic for Symbolic Controlcited by 21
- 2019Arithmetic-Geometric Mean Robustness for Control from Signal Temporal Logic Specificationscited by 19
- 2020Recurrent Neural Network Controllers for Signal Temporal Logic Specifications Subject to Safety Constraintscited by 18
- 2022Semi-Supervised Trajectory-Feedback Controller Synthesis for Signal Temporal Logic Specificationscited by 11
- 2021Model-Free Reinforcement Learning for Optimal Control of MarkovDecision Processes Under Signal Temporal Logic Specificationscited by 10
13 more
- 2022Robust Multi-Agent Coordination from CaTL+ Specificationscited by 7
- 2023Learning Robust and Correct Controllers from Signal Temporal Logic Specifications Using BarrierNetcited by 6
- 2023Soft-Minimum and Soft-Maximum Barrier Functions for Safety with Actuation Constraintscited by 6
- 2025TGPO: Temporal Grounded Policy Optimization for Signal Temporal Logic Taskscited by 6
- 2022Compositions of Multiple Control Barrier Functions Under Input Constraintscited by 5
- 2019Control-Lyapunov and Control-Barrier Functions based Quadratic Program for Spatio-temporal Specificationscited by 3
- 2021High Order Control Lyapunov-Barrier Functions for Temporal Logic Specificationscited by 3
- 2021Safe Model-based Control from Signal Temporal Logic Specifications Using Recurrent Neural Networkscited by 3
- 2023Rate-Tunable Control Barrier Functions: Methods and Algorithms for Online Adaptationcited by 2
- 2023Auxiliary-Variable Adaptive Control Barrier Functions for Safety Critical Systemscited by 1
- 2024Auxiliary-Variable Adaptive Control Lyapunov Barrier Functions for Spatio-Temporally Constrained Safety-Critical Applicationscited by 1
- 2025Auxiliary-Variable Adaptive Control Barrier Functionscited by 1
- 2025Sampling-Aware Control Barrier Functions for Safety-Critical and Finite-Time Constrained Controlcited by 1
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