Reachability-based Trajectory Safeguard (RTS): A Safe and Fast Reinforcement Learning Safety Layer for Continuous Control
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Abstract (arXiv)
Reinforcement Learning (RL) algorithms have achieved remarkable performance in decision making and control tasks due to their ability to reason about long-term, cumulative reward using trial and error. However, during RL training, applying this trial-and-error approach to real-world robots operating in safety critical environment may lead to collisions. To address this challenge, this paper proposes a Reachability-based Trajectory Safeguard (RTS), which leverages reachability analysis to ensure safety during training and operation. Given a known (but uncertain) model of a robot, RTS precomputes a Forward Reachable Set of the robot tracking a continuum of parameterized trajectories. At runtime, the RL agent selects from this continuum in a receding-horizon way to control the robot; the FRS is used to identify if the agent's choice is safe or not, and to adjust unsafe choices. The efficacy of this method is illustrated on three nonlinear robot models, including a 12-D quadrotor drone, in simulation and in comparison with state-of-the-art safe motion planning methods.
Key facts. Cited by 28 papers in the map (data through 13 Oct 2026). First posted on arXiv 17 Nov 2020.
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Citing papers per year: 2021: 2; 2022: 7; 2023: 4; 2024: 8; 2025: 3; 2026: 4.
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- 2022Enforcing Hard Constraints with Soft Barriers: Safe Reinforcement Learning in Unknown Stochastic Environmentscited by 54
- 2023State-wise Safe Reinforcement Learning: A Surveycited by 48
- 2022Provably Safe Reinforcement Learning: Conceptual Analysis, Survey, and Benchmarkingcited by 31
- 2024HardNet: Hard-Constrained Neural Networks with Universal Approximation Guaranteescited by 31
- 2022Provably Safe Reinforcement Learning via Action Projection using Reachability Analysis and Polynomial Zonotopescited by 23
- 2022Safe Reinforcement Learning Using Black-Box Reachability Analysiscited by 22
- 2022Provably Safe Deep Reinforcement Learning for Robotic Manipulation in Human Environmentscited by 16
- 2022Safe Reinforcement Learning of Dynamic High-Dimensional Robotic Tasks: Navigation, Manipulation, Interactioncited by 15
- 2021A Simple and Efficient Sampling-based Algorithm for General Reachability Analysiscited by 12
- 2024Safe Reinforcement Learning on the Constraint Manifold: Theory and Applicationscited by 12
- 2024RAIL: Reachability-Aided Imitation Learning for Safe Policy Executioncited by 5
- 2025From Demonstrations to Safe Deployment: Path-Consistent Safety Filtering for Diffusion Policiescited by 5
16 more
- 2022Safe Reinforcement Learning using Data-Driven Predictive Controlcited by 4
- 2023Safe Reinforcement Learning with Dead-Ends Avoidance and Recoverycited by 4
- 2024Bridging the gap between Learning-to-plan, Motion Primitives and Safe Reinforcement Learningcited by 4
- 2021Risk Conditioned Neural Motion Planningcited by 3
- 2024Safety-Driven Deep Reinforcement Learning Framework for Cobots: A Sim2Real Approachcited by 3
- 2024Traffic-Rule-Compliant Trajectory Repair via Satisfiability Modulo Theories and Reachability Analysiscited by 3
- 2025Geometry of Neural Reinforcement Learning in Continuous State and Action Spacescited by 3
- 2026X-Safe: Embodiment-Agnostic Safeguarding for Robot Arm Manipulation Policies via Action Maskingcited by 2
- 2024Do No Harm: A Counterfactual Approach to Safe Reinforcement Learningcited by 1
- 2025Predictive Safety Shield for Dyna-Q Reinforcement Learningcited by 1
- 2026Dyna-Style Safety Augmented Reinforcement Learning: Staying Safe in the Face of Uncertaintycited by 1
- 2023Safe Deep RL for Intraoperative Planning of Pedicle Screw Placementcited by 0
- 2023Adaptive Policy Learning to Additional Taskscited by 0
- 2024Absolute State-wise Constrained Policy Optimization: High-Probability State-wise Constraints Satisfactioncited by 0
- 2026Directional Constraints for Efficient Exploration in Safe Reinforcement Learningcited by 0
- 2026No Free Checker: A Survey of Verifiers for Robot Policiescited by 0
- 2026No Free Checker: A Survey of Verifiers for Robot Policies8 Sep 2026
- 2026Directional Constraints for Efficient Exploration in Safe Reinforcement Learning14 Jul 2026
- 2026X-Safe: Embodiment-Agnostic Safeguarding for Robot Arm Manipulation Policies via Action Masking21 Jun 2026
- 2026Dyna-Style Safety Augmented Reinforcement Learning: Staying Safe in the Face of Uncertainty28 Apr 2026
- 2025Predictive Safety Shield for Dyna-Q Reinforcement Learning26 Nov 2025
- 2025From Demonstrations to Safe Deployment: Path-Consistent Safety Filtering for Diffusion Policies9 Nov 2025
- 2025Geometry of Neural Reinforcement Learning in Continuous State and Action Spaces28 Jul 2025
- 2024Traffic-Rule-Compliant Trajectory Repair via Satisfiability Modulo Theories and Reachability Analysis20 Dec 2024
- 2024HardNet: Hard-Constrained Neural Networks with Universal Approximation Guarantees14 Oct 2024
- 2024Absolute State-wise Constrained Policy Optimization: High-Probability State-wise Constraints Satisfaction2 Oct 2024
- 2024RAIL: Reachability-Aided Imitation Learning for Safe Policy Execution28 Sep 2024
- 2024Bridging the gap between Learning-to-plan, Motion Primitives and Safe Reinforcement Learning26 Aug 2024
16 more
- 2024Safety-Driven Deep Reinforcement Learning Framework for Cobots: A Sim2Real Approach2 Jul 2024
- 2024Do No Harm: A Counterfactual Approach to Safe Reinforcement Learning19 May 2024
- 2024Safe Reinforcement Learning on the Constraint Manifold: Theory and Applications13 Apr 2024
- 2023Safe Reinforcement Learning with Dead-Ends Avoidance and Recovery24 Jun 2023
- 2023Adaptive Policy Learning to Additional Tasks24 May 2023
- 2023Safe Deep RL for Intraoperative Planning of Pedicle Screw Placement9 May 2023
- 2023State-wise Safe Reinforcement Learning: A Survey6 Feb 2023
- 2022Safe Reinforcement Learning using Data-Driven Predictive Control20 Nov 2022
- 2022Provably Safe Reinforcement Learning via Action Projection using Reachability Analysis and Polynomial Zonotopes19 Oct 2022
- 2022Enforcing Hard Constraints with Soft Barriers: Safe Reinforcement Learning in Unknown Stochastic Environments29 Sep 2022
- 2022Safe Reinforcement Learning of Dynamic High-Dimensional Robotic Tasks: Navigation, Manipulation, Interaction27 Sep 2022
- 2022Provably Safe Reinforcement Learning: Conceptual Analysis, Survey, and Benchmarking13 May 2022
- 2022Provably Safe Deep Reinforcement Learning for Robotic Manipulation in Human Environments12 May 2022
- 2022Safe Reinforcement Learning Using Black-Box Reachability Analysis15 Apr 2022
- 2021A Simple and Efficient Sampling-based Algorithm for General Reachability Analysis10 Dec 2021
- 2021Risk Conditioned Neural Motion Planning4 Aug 2021
- 2024Safe Reinforcement Learning on the Constraint Manifold: Theory and Applicationscited by 12
- 2024Bridging the gap between Learning-to-plan, Motion Primitives and Safe Reinforcement Learningcited by 4
- 2024Safety-Driven Deep Reinforcement Learning Framework for Cobots: A Sim2Real Approachcited by 3
- 2025Geometry of Neural Reinforcement Learning in Continuous State and Action Spacescited by 3
- 2024Do No Harm: A Counterfactual Approach to Safe Reinforcement Learningcited by 1
- 2025Predictive Safety Shield for Dyna-Q Reinforcement Learningcited by 1
- 2026Dyna-Style Safety Augmented Reinforcement Learning: Staying Safe in the Face of Uncertaintycited by 1
- 2024Absolute State-wise Constrained Policy Optimization: High-Probability State-wise Constraints Satisfactioncited by 0
- 2026Directional Constraints for Efficient Exploration in Safe Reinforcement Learningcited by 0
- 2026Directional Constraints for Efficient Exploration in Safe Reinforcement Learning14 Jul 2026
- 2026Dyna-Style Safety Augmented Reinforcement Learning: Staying Safe in the Face of Uncertainty28 Apr 2026
- 2025Predictive Safety Shield for Dyna-Q Reinforcement Learning26 Nov 2025
- 2025Geometry of Neural Reinforcement Learning in Continuous State and Action Spaces28 Jul 2025
- 2024Absolute State-wise Constrained Policy Optimization: High-Probability State-wise Constraints Satisfaction2 Oct 2024
- 2024Bridging the gap between Learning-to-plan, Motion Primitives and Safe Reinforcement Learning26 Aug 2024
- 2024Safety-Driven Deep Reinforcement Learning Framework for Cobots: A Sim2Real Approach2 Jul 2024
- 2024Do No Harm: A Counterfactual Approach to Safe Reinforcement Learning19 May 2024
- 2024Safe Reinforcement Learning on the Constraint Manifold: Theory and Applications13 Apr 2024
- 2022Enforcing Hard Constraints with Soft Barriers: Safe Reinforcement Learning in Unknown Stochastic Environmentscited by 54
- 2023State-wise Safe Reinforcement Learning: A Surveycited by 48
- 2022Provably Safe Reinforcement Learning: Conceptual Analysis, Survey, and Benchmarkingcited by 31
- 2024HardNet: Hard-Constrained Neural Networks with Universal Approximation Guaranteescited by 31
- 2022Provably Safe Reinforcement Learning via Action Projection using Reachability Analysis and Polynomial Zonotopescited by 23
- 2022Safe Reinforcement Learning Using Black-Box Reachability Analysiscited by 22
- 2022Provably Safe Deep Reinforcement Learning for Robotic Manipulation in Human Environmentscited by 16
- 2022Safe Reinforcement Learning of Dynamic High-Dimensional Robotic Tasks: Navigation, Manipulation, Interactioncited by 15
- 2021A Simple and Efficient Sampling-based Algorithm for General Reachability Analysiscited by 12
- 2022Safe Reinforcement Learning using Data-Driven Predictive Controlcited by 4
- 2023Safe Reinforcement Learning with Dead-Ends Avoidance and Recoverycited by 4
- 2021Risk Conditioned Neural Motion Planningcited by 3
12 most cited of 17 All 17 (JSON)
- 2026No Free Checker: A Survey of Verifiers for Robot Policies8 Sep 2026
- 2026X-Safe: Embodiment-Agnostic Safeguarding for Robot Arm Manipulation Policies via Action Masking21 Jun 2026
- 2024Traffic-Rule-Compliant Trajectory Repair via Satisfiability Modulo Theories and Reachability Analysis20 Dec 2024
- 2024HardNet: Hard-Constrained Neural Networks with Universal Approximation Guarantees14 Oct 2024
- 2023Safe Reinforcement Learning with Dead-Ends Avoidance and Recovery24 Jun 2023
- 2023Adaptive Policy Learning to Additional Tasks24 May 2023
- 2023Safe Deep RL for Intraoperative Planning of Pedicle Screw Placement9 May 2023
- 2023State-wise Safe Reinforcement Learning: A Survey6 Feb 2023
- 2022Safe Reinforcement Learning using Data-Driven Predictive Control20 Nov 2022
- 2022Provably Safe Reinforcement Learning via Action Projection using Reachability Analysis and Polynomial Zonotopes19 Oct 2022
- 2022Enforcing Hard Constraints with Soft Barriers: Safe Reinforcement Learning in Unknown Stochastic Environments29 Sep 2022
- 2022Safe Reinforcement Learning of Dynamic High-Dimensional Robotic Tasks: Navigation, Manipulation, Interaction27 Sep 2022
12 newest of 17 All 17 (JSON)