Model-based Constrained Reinforcement Learning using Generalized Control Barrier Function
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Abstract (arXiv)
Model information can be used to predict future trajectories, so it has huge potential to avoid dangerous region when implementing reinforcement learning (RL) on real-world tasks, like autonomous driving. However, existing studies mostly use model-free constrained RL, which causes inevitable constraint violations. This paper proposes a model-based feasibility enhancement technique of constrained RL, which enhances the feasibility of policy using generalized control barrier function (GCBF) defined on the distance to constraint boundary. By using the model information, the policy can be optimized safely without violating actual safety constraints, and the sample efficiency is increased. The major difficulty of infeasibility in solving the constrained policy gradient is handled by an adaptive coefficient mechanism. We evaluate the proposed method in both simulations and real vehicle experiments in a complex autonomous driving collision avoidance task. The proposed method achieves up to four times fewer constraint violations and converges 3.36 times faster than baseline constrained RL approaches.
Key facts. Cited by 30 papers in the map (data through 7 Oct 2026). Builds on 11 of its 26 references that are in the map. First posted on arXiv 2 Mar 2021.
Builds on
11 of 26 references.
References · 11
- 2015Trust Region Policy Optimizationcited by 2,503
- 2016Concrete Problems in AI Safetycited by 1,582
- 2017Constrained Policy Optimizationcited by 928
- 2018Reward Constrained Policy Optimizationcited by 397
- 2019Control Barrier Functions: Theory and Applicationscited by 332
- 2015Risk-Constrained Reinforcement Learning with Percentile Risk Criteriacited by 320
- 2018Learning-based Model Predictive Control for Safe Explorationcited by 116
- 2020Numerically Stable Dynamic Bicycle Model for Discrete-time Controlcited by 15
- 2019Adaptive dynamic programming for nonaffine nonlinear optimal control problem with state constraintscited by 12
- 2020Improving Generalization of Reinforcement Learning with Minimax Distributional Soft Actor-Criticcited by 12
- 2021Feasibility Enhancement of Constrained Receding Horizon Control Using Generalized Control Barrier Functioncited by 3
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Citing papers per year: 2021: 5; 2022: 8; 2023: 7; 2024: 4; 2025: 3; 2026: 3.
30 papers.
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- 2022Physics-Informed Machine Learning: A Survey on Problems, Methods and Applicationscited by 88
- 2022Enforcing Hard Constraints with Soft Barriers: Safe Reinforcement Learning in Unknown Stochastic Environmentscited by 54
- 2022Reachability Constrained Reinforcement Learningcited by 52
- 2022Enhance Sample Efficiency and Robustness of End-to-end Urban Autonomous Driving via Semantic Masked World Modelcited by 44
- 2021Feasible Actor-Critic: Constrained Reinforcement Learning for Ensuring Statewise Safetycited by 30
- 2021Joint Synthesis of Safety Certificate and Safe Control Policy using Constrained Reinforcement Learningcited by 25
- 2023A Survey on Physics Informed Reinforcement Learning: Review and Open Problemscited by 22
- 2024Hamilton-Jacobi Reachability in Reinforcement Learning: A Surveycited by 11
- 2023Optimal Transport Perturbations for Safe Reinforcement Learning with Robustness Guaranteescited by 9
- 2023Sequential Neural Barriers for Scalable Dynamic Obstacle Avoidancecited by 8
- 2025CBF-RL: Safety Filtering Reinforcement Learning in Training with Control Barrier Functionscited by 8
- 2023Gaussian Max-Value Entropy Search for Multi-Agent Bayesian Optimizationcited by 7
18 more
- 2021Learn Zero-Constraint-Violation Policy in Model-Free Constrained Reinforcement Learningcited by 4
- 2023Feasible Policy Iteration for Safe Reinforcement Learningcited by 4
- 2026How Does the Lagrangian Guide Safe Reinforcement Learning through Diffusion Models?cited by 4
- 2021Model Free Barrier Functions via Implicit Evading Maneuverscited by 3
- 2021Model-Based Safe Reinforcement Learning with Time-Varying State and Control Constraints: An Application to Intelligent Vehiclescited by 3
- 2022Safe Inverse Reinforcement Learning via Control Barrier Functioncited by 3
- 2023Safe and Sample-efficient Reinforcement Learning for Clustered Dynamic Environmentscited by 3
- 2024Learning Control Barrier Functions and their application in Reinforcement Learning: A Surveycited by 3
- 2022Improve Generalization of Driving Policy at Signalized Intersections with Adversarial Learningcited by 2
- 2023Control invariant set enhanced safe reinforcement learning: improved sampling efficiency, guaranteed stability and robustnesscited by 2
- 2022Safe Reinforcement Learning with Probabilistic Control Barrier Functions for Ramp Mergingcited by 1
- 2024Sampling-based Safe Reinforcement Learning for Nonlinear Dynamical Systemscited by 1
- 2024Act Better by Timing: A timing-Aware Reinforcement Learning for Autonomous Drivingcited by 1
- 2026Augmented Lagrangian Multiplier Network for State-wise Safety in Reinforcement Learningcited by 1
- 2022Interpreting Primal-Dual Algorithms for Constrained Multiagent Reinforcement Learningcited by 0
- 2025Ensemble RL through Classifier Models: Enhancing Risk-Return Trade-offs in Trading Strategiescited by 0
- 2025Distributional Soft Actor-Critic with Harmonic Gradient for Safe and Efficient Autonomous Driving in Multi-lane Scenarioscited by 0
- 2026Safe Score Matching: Diffusion Policies with Hamilton-Jacobi Reachability for Online Safe Reinforcement Learningcited by 0
- 2026Safe Score Matching: Diffusion Policies with Hamilton-Jacobi Reachability for Online Safe Reinforcement Learning27 Sep 2026
- 2026Augmented Lagrangian Multiplier Network for State-wise Safety in Reinforcement Learning1 May 2026
- 2026How Does the Lagrangian Guide Safe Reinforcement Learning through Diffusion Models?2 Feb 2026
- 2025CBF-RL: Safety Filtering Reinforcement Learning in Training with Control Barrier Functions16 Oct 2025
- 2025Distributional Soft Actor-Critic with Harmonic Gradient for Safe and Efficient Autonomous Driving in Multi-lane Scenarios18 May 2025
- 2025Ensemble RL through Classifier Models: Enhancing Risk-Return Trade-offs in Trading Strategies23 Feb 2025
- 2024Hamilton-Jacobi Reachability in Reinforcement Learning: A Survey12 Jul 2024
- 2024Act Better by Timing: A timing-Aware Reinforcement Learning for Autonomous Driving19 Jun 2024
- 2024Learning Control Barrier Functions and their application in Reinforcement Learning: A Survey22 Apr 2024
- 2024Sampling-based Safe Reinforcement Learning for Nonlinear Dynamical Systems6 Mar 2024
- 2023A Survey on Physics Informed Reinforcement Learning: Review and Open Problems5 Sep 2023
- 2023Sequential Neural Barriers for Scalable Dynamic Obstacle Avoidance6 Jul 2023
18 more
- 2023Control invariant set enhanced safe reinforcement learning: improved sampling efficiency, guaranteed stability and robustness24 May 2023
- 2023Feasible Policy Iteration for Safe Reinforcement Learning18 Apr 2023
- 2023Safe and Sample-efficient Reinforcement Learning for Clustered Dynamic Environments24 Mar 2023
- 2023Gaussian Max-Value Entropy Search for Multi-Agent Bayesian Optimization10 Mar 2023
- 2023Optimal Transport Perturbations for Safe Reinforcement Learning with Robustness Guarantees31 Jan 2023
- 2022Safe Inverse Reinforcement Learning via Control Barrier Function6 Dec 2022
- 2022Safe Reinforcement Learning with Probabilistic Control Barrier Functions for Ramp Merging1 Dec 2022
- 2022Interpreting Primal-Dual Algorithms for Constrained Multiagent Reinforcement Learning29 Nov 2022
- 2022Physics-Informed Machine Learning: A Survey on Problems, Methods and Applications15 Nov 2022
- 2022Enhance Sample Efficiency and Robustness of End-to-end Urban Autonomous Driving via Semantic Masked World Model8 Oct 2022
- 2022Enforcing Hard Constraints with Soft Barriers: Safe Reinforcement Learning in Unknown Stochastic Environments29 Sep 2022
- 2022Reachability Constrained Reinforcement Learning16 May 2022
- 2022Improve Generalization of Driving Policy at Signalized Intersections with Adversarial Learning9 Apr 2022
- 2021Model-Based Safe Reinforcement Learning with Time-Varying State and Control Constraints: An Application to Intelligent Vehicles18 Dec 2021
- 2021Learn Zero-Constraint-Violation Policy in Model-Free Constrained Reinforcement Learning25 Nov 2021
- 2021Joint Synthesis of Safety Certificate and Safe Control Policy using Constrained Reinforcement Learning15 Nov 2021
- 2021Model Free Barrier Functions via Implicit Evading Maneuvers27 Jul 2021
- 2021Feasible Actor-Critic: Constrained Reinforcement Learning for Ensuring Statewise Safety22 May 2021
- 2022Improve Generalization of Driving Policy at Signalized Intersections with Adversarial Learningcited by 2
- 2024Act Better by Timing: A timing-Aware Reinforcement Learning for Autonomous Drivingcited by 1
- 2025Distributional Soft Actor-Critic with Harmonic Gradient for Safe and Efficient Autonomous Driving in Multi-lane Scenarioscited by 0
- 2025Distributional Soft Actor-Critic with Harmonic Gradient for Safe and Efficient Autonomous Driving in Multi-lane Scenarios18 May 2025
- 2024Act Better by Timing: A timing-Aware Reinforcement Learning for Autonomous Driving19 Jun 2024
- 2022Improve Generalization of Driving Policy at Signalized Intersections with Adversarial Learning9 Apr 2022
- 2022Physics-Informed Machine Learning: A Survey on Problems, Methods and Applicationscited by 88
- 2022Enforcing Hard Constraints with Soft Barriers: Safe Reinforcement Learning in Unknown Stochastic Environmentscited by 54
- 2022Reachability Constrained Reinforcement Learningcited by 52
- 2021Feasible Actor-Critic: Constrained Reinforcement Learning for Ensuring Statewise Safetycited by 30
- 2021Joint Synthesis of Safety Certificate and Safe Control Policy using Constrained Reinforcement Learningcited by 25
- 2023A Survey on Physics Informed Reinforcement Learning: Review and Open Problemscited by 22
- 2024Hamilton-Jacobi Reachability in Reinforcement Learning: A Surveycited by 11
- 2023Optimal Transport Perturbations for Safe Reinforcement Learning with Robustness Guaranteescited by 9
- 2023Sequential Neural Barriers for Scalable Dynamic Obstacle Avoidancecited by 8
- 2025CBF-RL: Safety Filtering Reinforcement Learning in Training with Control Barrier Functionscited by 8
- 2023Gaussian Max-Value Entropy Search for Multi-Agent Bayesian Optimizationcited by 7
- 2021Learn Zero-Constraint-Violation Policy in Model-Free Constrained Reinforcement Learningcited by 4
12 most cited of 22 All 22 (JSON)
- 2026Augmented Lagrangian Multiplier Network for State-wise Safety in Reinforcement Learning1 May 2026
- 2025CBF-RL: Safety Filtering Reinforcement Learning in Training with Control Barrier Functions16 Oct 2025
- 2025Ensemble RL through Classifier Models: Enhancing Risk-Return Trade-offs in Trading Strategies23 Feb 2025
- 2024Hamilton-Jacobi Reachability in Reinforcement Learning: A Survey12 Jul 2024
- 2024Learning Control Barrier Functions and their application in Reinforcement Learning: A Survey22 Apr 2024
- 2024Sampling-based Safe Reinforcement Learning for Nonlinear Dynamical Systems6 Mar 2024
- 2023A Survey on Physics Informed Reinforcement Learning: Review and Open Problems5 Sep 2023
- 2023Sequential Neural Barriers for Scalable Dynamic Obstacle Avoidance6 Jul 2023
- 2023Control invariant set enhanced safe reinforcement learning: improved sampling efficiency, guaranteed stability and robustness24 May 2023
- 2023Feasible Policy Iteration for Safe Reinforcement Learning18 Apr 2023
- 2023Safe and Sample-efficient Reinforcement Learning for Clustered Dynamic Environments24 Mar 2023
- 2023Gaussian Max-Value Entropy Search for Multi-Agent Bayesian Optimization10 Mar 2023
12 newest of 22 All 22 (JSON)