Reaching the Limit in Autonomous Racing: Optimal Control versus Reinforcement Learning
Not on the map. Why?
Cited by 71 in Deep reinforcement learning methods, but placed by its own abstract, which didn’t fit.
Abstract (arXiv)
A central question in robotics is how to design a control system for an agile mobile robot. This paper studies this question systematically, focusing on a challenging setting: autonomous drone racing. We show that a neural network controller trained with reinforcement learning (RL) outperformed optimal control (OC) methods in this setting. We then investigated which fundamental factors have contributed to the success of RL or have limited OC. Our study indicates that the fundamental advantage of RL over OC is not that it optimizes its objective better but that it optimizes a better objective. OC decomposes the problem into planning and control with an explicit intermediate representation, such as a trajectory, that serves as an interface. This decomposition limits the range of behaviors that can be expressed by the controller, leading to inferior control performance when facing unmodeled effects. In contrast, RL can directly optimize a task-level objective and can leverage domain randomization to cope with model uncertainty, allowing the discovery of more robust control responses. Our findings allowed us to push an agile drone to its maximum performance, achieving a peak acceleration greater than 12 times the gravitational acceleration and a peak velocity of 108 kilometers per hour. Our policy achieved superhuman control within minutes of training on a standard workstation. This work presents a milestone in agile robotics and sheds light on the role of RL and OC in robot control.
Key facts. Cited by 111 papers in the map (data through 14 Oct 2026). Builds on 22 of its 53 references that are in the map. First posted on arXiv 17 Oct 2023.
Builds on
22 of 53 references.
References · 22
- 2017Proximal Policy Optimization Algorithmscited by 15,215
- 2020Learning Quadrupedal Locomotion over Challenging Terraincited by 604
- 2022Learning robust perceptive locomotion for quadrupedal robots in the wildcited by 382
- 2016A Survey of Motion Planning and Control Techniques for Self-driving Urban Vehiclescited by 254
- 2017Control of a Quadrotor with Reinforcement Learningcited by 92
- 2020Flightmare: A Flexible Quadrotor Simulatorcited by 84
- 2019Deep Drone Racing: From Simulation to Reality with Domain Randomizationcited by 76
- 2021Autonomous Drone Racing with Deep Reinforcement Learningcited by 60
- 2018Reinforcement Learning for UAV Attitude Controlcited by 48
- 2022A Benchmark Comparison of Learned Control Policies for Agile Quadrotor Flightcited by 47
- 2019Low Level Control of a Quadrotor with Deep Model-Based Reinforcement Learningcited by 44
- 2021NeuroBEM: Hybrid Aerodynamic Quadrotor Modelcited by 37
10 more
- 2020AlphaPilot: Autonomous Drone Racingcited by 30
- 2023Agilicious: Open-Source and Open-Hardware Agile Quadrotor for Vision-Based Flightcited by 30
- 2018PAMPC: Perception-Aware Model Predictive Control for Quadrotorscited by 28
- 2020HPIPM: a high-performance quadratic programming framework for model predictive controlcited by 23
- 2021Time-Optimal Planning for Quadrotor Waypoint Flightcited by 23
- 2021Model Predictive Contouring Control for Time-Optimal Quadrotor Flightcited by 21
- 2017Whole-Body Nonlinear Model Predictive Control Through Contacts for Quadrupedscited by 20
- 2021The Artificial Intelligence behind the winning entry to the 2019 AI Robotic Racing Competitioncited by 8
- 2021Air taxi service for urban mobility: A critical review of recent developments, future challenges, and opportunitiescited by 7
- 2017Minimum-time trajectory generation for quadrotors in constrained environmentscited by 4
Built on by
Citing papers per year: 2023: 7; 2024: 38; 2025: 41; 2026: 25.
111 papers.
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By area:
- 2023RoboGen: Towards Unleashing Infinite Data for Automated Robot Learning via Generative Simulationcited by 218
- 2024Deep Reinforcement Learning for Robotics: A Survey of Real-World Successescited by 176
- 2024Reconciling Reality through Simulation: A Real-to-Sim-to-Real Approach for Robust Manipulationcited by 144
- 2024Agile But Safe: Learning Collision-Free High-Speed Legged Locomotioncited by 73
- 2024TRANSIC: Sim-to-Real Policy Transfer by Learning from Online Correctioncited by 59
- 2024Learning Quadruped Locomotion Using Differentiable Simulationcited by 32
- 2024Multi-Agent Reinforcement Learning for Autonomous Driving: A Surveycited by 32
- 2024Bootstrapping Reinforcement Learning with Imitation for Vision-Based Agile Flightcited by 31
- 2024Demonstrating Agile Flight from Pixels without State Estimationcited by 31
- 2025Synthesis of Model Predictive Control and Reinforcement Learning: Survey and Classificationcited by 26
- 2025The Reality Gap in Robotics: Challenges, Solutions, and Best Practicescited by 24
- 2024Multi-Task Reinforcement Learning for Quadrotorscited by 20
38 more
- 2024Learning Quadrotor Control From Visual Features Using Differentiable Simulationcited by 19
- 2025See, Point, Fly: A Learning-Free VLM Framework for Universal Unmanned Aerial Navigationcited by 18
- 2024Safe Reinforcement Learning on the Constraint Manifold: Theory and Applicationscited by 15
- 2025Dream to Fly: Model-Based Reinforcement Learning for Vision-Based Drone Flightcited by 15
- 2024Learning Speed Adaptation for Flight in Cluttercited by 14
- 2024Reinforcement Learning for Collision-free Flight Exploiting Deep Collision Encodingcited by 13
- 2024MAVRL: Learn to Fly in Cluttered Environments with Varying Speedcited by 13
- 2024Residual Policy Learning for Perceptive Quadruped Control Using Differentiable Simulationcited by 13
- 2025Accelerating Model-Based Reinforcement Learning with State-Space World Modelscited by 10
- 2025RAPTOR: A Foundation Policy for Quadrotor Controlcited by 8
- 2024VisFly: An Efficient and Versatile Simulator for Training Vision-based Flightcited by 7
- 2024Automatic Environment Shaping is the Next Frontier in RLcited by 7
- 2025Flying on Point Clouds with Reinforcement Learningcited by 7
- 2025One Net to Rule Them All: Domain Randomization in Quadcopter Racing Across Different Platformscited by 7
- 2023Adaptive Stochastic Nonlinear Model Predictive Control with Look-ahead Deep Reinforcement Learning for Autonomous Vehicle Motion Controlcited by 6
- 2024Dashing for the Golden Snitch: Multi-Drone Time-Optimal Motion Planning with Multi-Agent Reinforcement Learningcited by 6
- 2024Environment as Policy: Learning to Race in Unseen Trackscited by 6
- 2025RAPID: Robust and Agile Planner Using Inverse Reinforcement Learning for Vision-Based Drone Navigationcited by 6
- 2024Deep Reinforcement Learning in Autonomous Car Path Planning and Control: A Surveycited by 5
- 2025Improving Value Estimation Critically Enhances Vanilla Policy Gradientcited by 5
- 2025Reactive Aerobatic Flight via Reinforcement Learningcited by 5
- 2024CoVO-MPC: Theoretical Analysis of Sampling-based MPC and Optimal Covariance Designcited by 4
- 2023Risk-anticipatory autonomous driving strategies considering vehicles' weights, based on hierarchical deep reinforcement learningcited by 4
- 2024Neuromorphic Attitude Estimation and Controlcited by 4
- 2025Decentralized Aerial Manipulation of a Cable-Suspended Load using Multi-Agent Reinforcement Learningcited by 4
- 2025Agile Flight Emerges from Multi-Agent Competitive Racingcited by 4
- 2026Non-Uniform Noise-to-Signal Ratio in the REINFORCE Policy-Gradient Estimatorcited by 4
- 2024SigmaRL: A Sample-Efficient and Generalizable Multi-Agent Reinforcement Learning Framework for Motion Planningcited by 3
- 2024A Survey on Reinforcement Learning Applications in SLAMcited by 3
- 2025Benchmarking Model Predictive Control and Reinforcement Learning Based Control for Legged Robot Locomotion in MuJoCo Simulationcited by 3
- 2025TACO: General Acrobatic Flight Control via Target-and-Command-Oriented Reinforcement Learningcited by 3
- 2025Drive Fast, Learn Faster: On-Board RL for High Performance Autonomous Racingcited by 3
- 2025Depth Transfer: Learning to See Like a Simulator for Real-World Drone Navigationcited by 3
- 2025Learned Controllers for Agile Quadrotors in Pursuit-Evasion Gamescited by 3
- 2025Mastering Diverse, Unknown, and Cluttered Tracks for Robust Vision-Based Drone Racingcited by 3
- 2024Advancing Monocular Video-Based Gait Analysis Using Motion Imitation with Physics-Based Simulationcited by 2
- 2024Time-optimal Flight in Cluttered Environments via Safe Reinforcement Learningcited by 2
- 2024Data-Driven Stochastic Optimal Control in Reproducing Kernel Hilbert Spacescited by 2
50 most cited of 111 All 111 (JSON)
- 2026Battery-Aware Reinforcement Learning for Aggressive Quadrotor Flight29 Sep 2026
- 2026Driving Context-guided Model Predictive Planning and Control for Autonomous Car Racing at the Limit and Beyond11 Sep 2026
- 2026PILOT: Privileged Imitation Learning for End-to-End Motion Planning of Autonomous UAVs under Partial Observability14 Aug 2026
- 2026Conditional Invertible Neural Networks for Data-Driven UAV Control: A 2-D Proof of Concept15 Jul 2026
- 2026Wind-Aware Reinforcement Learning Control of a Small Quadrotor Using Learned Onboard Wind Estimation in Simulated Atmospheric Turbulence1 Jul 2026
- 2026Machine Learning-based Feedback Linearization Control of Quadrotor Subject to Unmodeled Dynamics30 Jun 2026
- 2026Bridging Performance and Generalization in Reinforcement Learning for Agile Flight25 Jun 2026
- 2026Mean-Field PhiBE: Continuous-Time Mean-Field Reinforcement Learning from Discrete-Time Data25 Jun 2026
- 2026Agile Fall Recovery for Quadrotors with Bidirectional Thrust via Reinforcement Learning15 Jun 2026
- 2026MinNav: Minimalist Navigation Using Optical Flow For Active Tiny Aerial Robots5 Jun 2026
- 2026CA-AC-MPC: CUDA-Accelerated Actor-Critic Model Predictive Control27 May 2026
- 2026Superhuman Safe and Agile Racing through Multi-Agent Reinforcement Learning21 May 2026
38 more
- 2026Factored Diffusion Policies:Compositionally Generalized Robot Control with a Single Score Network21 May 2026
- 2026Aerial Inspection Behaviors via RL-based Quadrotor Control for Under-canopy Forest Environments19 May 2026
- 2026CMRL: Collision-Aware and Memory-Enhanced Reinforcement Learning for UAV Navigation in Multi-Scale Obstacle Environments14 May 2026
- 2026Safe Continual Reinforcement Learning in Non-stationary Environments21 Apr 2026
- 2026ASTER: Attitude-aware Suspended-payload Quadrotor Traversal via Efficient Reinforcement Learning11 Mar 2026
- 2026MAVEN: A Meta-Reinforcement Learning Framework for Varying-Dynamics Expertise in Agile Quadrotor Maneuvers11 Mar 2026
- 2026Curriculum Reinforcement Learning for Quadrotor Racing with Random Obstacles27 Feb 2026
- 2026Learning End-to-End Control for Omnidirectional Aerial Motion on Overactuated Tilt-rotor Quadrotors25 Feb 2026
- 2026Multi-Task Reinforcement Learning of Drone Aerobatics by Exploiting Geometric Symmetries11 Feb 2026
- 2026High-Speed Vision-Based Flight in Clutter with Safety-Shielded Reinforcement Learning9 Feb 2026
- 2026Zero-Shot UAV Navigation in Forests via Relightable 3D Gaussian Splatting6 Feb 2026
- 2026Non-Uniform Noise-to-Signal Ratio in the REINFORCE Policy-Gradient Estimator1 Feb 2026
- 2026Safe Reinforcement Learning Beyond Baseline Control: A Hierarchical Framework for Space Triangle Tethered Formation System8 Jan 2026
- 2025Agile Flight Emerges from Multi-Agent Competitive Racing12 Dec 2025
- 2025Mastering Diverse, Unknown, and Cluttered Tracks for Robust Vision-Based Drone Racing10 Dec 2025
- 2025From Static Constraints to Dynamic Adaptation: Sample-Level Constraint Relaxation for Offline-to-Online Reinforcement Learning5 Nov 2025
- 2025Curriculum-Based Iterative Self-Play for Scalable Multi-Drone Racing26 Oct 2025
- 2025SPIRAL: Self-Play Incremental Racing Algorithm for Learning in Multi-Drone Competitions26 Oct 2025
- 2025The Reality Gap in Robotics: Challenges, Solutions, and Best Practices23 Oct 2025
- 2025See, Point, Fly: A Learning-Free VLM Framework for Universal Unmanned Aerial Navigation26 Sep 2025
- 2025Rich State Observations Empower Reinforcement Learning to Surpass PID: A Drone Ball Balancing Study25 Sep 2025
- 2025RAPTOR: A Foundation Policy for Quadrotor Control15 Sep 2025
- 2025Learning Agile Gate Traversal via Analytical Optimal Policy Gradient29 Aug 2025
- 2025Learning Acrobatic Flight from Preferences26 Aug 2025
- 2025Autonomous UAV Flight Navigation in Confined Spaces: A Reinforcement Learning Approach22 Aug 2025
- 2025Decentralized Aerial Manipulation of a Cable-Suspended Load using Multi-Agent Reinforcement Learning2 Aug 2025
- 2025Comparing Behavioural Cloning and Reinforcement Learning for Spacecraft Guidance and Control Networks22 Jul 2025
- 2025Shared Control of Holonomic Wheelchairs through Reinforcement Learning22 Jul 2025
- 2025Low-Latency Event-Based Velocimetry for Quadrotor Control in a Narrow Pipe21 Jul 2025
- 2025Learned Controllers for Agile Quadrotors in Pursuit-Evasion Games3 Jun 2025
- 2025Reactive Aerobatic Flight via Reinforcement Learning30 May 2025
- 2025Improving Value Estimation Critically Enhances Vanilla Policy Gradient25 May 2025
- 2025Depth Transfer: Learning to See Like a Simulator for Real-World Drone Navigation18 May 2025
- 2025Drive Fast, Learn Faster: On-Board RL for High Performance Autonomous Racing12 May 2025
- 2025BURNS: Backward Underapproximate Reachability for Neural-Feedback-Loop Systems6 May 2025
- 2025One Net to Rule Them All: Domain Randomization in Quadcopter Racing Across Different Platforms30 Apr 2025
- 2025Depth-Constrained ASV Navigation with Deep RL and Limited Sensing25 Apr 2025
- 2025Post-Convergence Sim-to-Real Policy Transfer: A Principled Alternative to Cherry-Picking21 Apr 2025
50 newest of 111 All 111 (JSON)
- 2024Deep Reinforcement Learning for Robotics: A Survey of Real-World Successescited by 176
- 2024Bootstrapping Reinforcement Learning with Imitation for Vision-Based Agile Flightcited by 31
- 2024Demonstrating Agile Flight from Pixels without State Estimationcited by 31
- 2025Synthesis of Model Predictive Control and Reinforcement Learning: Survey and Classificationcited by 26
- 2024Multi-Task Reinforcement Learning for Quadrotorscited by 20
- 2024Learning Quadrotor Control From Visual Features Using Differentiable Simulationcited by 19
- 2024Safe Reinforcement Learning on the Constraint Manifold: Theory and Applicationscited by 15
- 2025Dream to Fly: Model-Based Reinforcement Learning for Vision-Based Drone Flightcited by 15
- 2024Reinforcement Learning for Collision-free Flight Exploiting Deep Collision Encodingcited by 13
- 2024MAVRL: Learn to Fly in Cluttered Environments with Varying Speedcited by 13
- 2024Residual Policy Learning for Perceptive Quadruped Control Using Differentiable Simulationcited by 13
- 2024VisFly: An Efficient and Versatile Simulator for Training Vision-based Flightcited by 7
12 most cited of 67 All 67 (JSON)
- 2026Battery-Aware Reinforcement Learning for Aggressive Quadrotor Flight29 Sep 2026
- 2026Wind-Aware Reinforcement Learning Control of a Small Quadrotor Using Learned Onboard Wind Estimation in Simulated Atmospheric Turbulence1 Jul 2026
- 2026Bridging Performance and Generalization in Reinforcement Learning for Agile Flight25 Jun 2026
- 2026Mean-Field PhiBE: Continuous-Time Mean-Field Reinforcement Learning from Discrete-Time Data25 Jun 2026
- 2026Agile Fall Recovery for Quadrotors with Bidirectional Thrust via Reinforcement Learning15 Jun 2026
- 2026CA-AC-MPC: CUDA-Accelerated Actor-Critic Model Predictive Control27 May 2026
- 2026Aerial Inspection Behaviors via RL-based Quadrotor Control for Under-canopy Forest Environments19 May 2026
- 2026CMRL: Collision-Aware and Memory-Enhanced Reinforcement Learning for UAV Navigation in Multi-Scale Obstacle Environments14 May 2026
- 2026Safe Continual Reinforcement Learning in Non-stationary Environments21 Apr 2026
- 2026ASTER: Attitude-aware Suspended-payload Quadrotor Traversal via Efficient Reinforcement Learning11 Mar 2026
- 2026MAVEN: A Meta-Reinforcement Learning Framework for Varying-Dynamics Expertise in Agile Quadrotor Maneuvers11 Mar 2026
- 2026Curriculum Reinforcement Learning for Quadrotor Racing with Random Obstacles27 Feb 2026
12 newest of 67 All 67 (JSON)
- 2024Reconciling Reality through Simulation: A Real-to-Sim-to-Real Approach for Robust Manipulationcited by 144
- 2025RAPID: Robust and Agile Planner Using Inverse Reinforcement Learning for Vision-Based Drone Navigationcited by 6
- 2025Comparing Behavioural Cloning and Reinforcement Learning for Spacecraft Guidance and Control Networkscited by 0
- 2025From Static Constraints to Dynamic Adaptation: Sample-Level Constraint Relaxation for Offline-to-Online Reinforcement Learningcited by 0
- 2026PILOT: Privileged Imitation Learning for End-to-End Motion Planning of Autonomous UAVs under Partial Observabilitycited by 0
- 2026PILOT: Privileged Imitation Learning for End-to-End Motion Planning of Autonomous UAVs under Partial Observability14 Aug 2026
- 2025From Static Constraints to Dynamic Adaptation: Sample-Level Constraint Relaxation for Offline-to-Online Reinforcement Learning5 Nov 2025
- 2025Comparing Behavioural Cloning and Reinforcement Learning for Spacecraft Guidance and Control Networks22 Jul 2025
- 2025RAPID: Robust and Agile Planner Using Inverse Reinforcement Learning for Vision-Based Drone Navigation4 Feb 2025
- 2024Reconciling Reality through Simulation: A Real-to-Sim-to-Real Approach for Robust Manipulation6 Mar 2024
- 2024Multi-Agent Reinforcement Learning for Autonomous Driving: A Surveycited by 32
- 2023Adaptive Stochastic Nonlinear Model Predictive Control with Look-ahead Deep Reinforcement Learning for Autonomous Vehicle Motion Controlcited by 6
- 2023Risk-anticipatory autonomous driving strategies considering vehicles' weights, based on hierarchical deep reinforcement learningcited by 4
- 2026Driving Context-guided Model Predictive Planning and Control for Autonomous Car Racing at the Limit and Beyondcited by 0
- 2026Driving Context-guided Model Predictive Planning and Control for Autonomous Car Racing at the Limit and Beyond11 Sep 2026
- 2024Multi-Agent Reinforcement Learning for Autonomous Driving: A Survey19 Aug 2024
- 2023Risk-anticipatory autonomous driving strategies considering vehicles' weights, based on hierarchical deep reinforcement learning27 Dec 2023
- 2023Adaptive Stochastic Nonlinear Model Predictive Control with Look-ahead Deep Reinforcement Learning for Autonomous Vehicle Motion Control7 Nov 2023
- 2023RoboGen: Towards Unleashing Infinite Data for Automated Robot Learning via Generative Simulationcited by 218
- 2024Agile But Safe: Learning Collision-Free High-Speed Legged Locomotioncited by 73
- 2024TRANSIC: Sim-to-Real Policy Transfer by Learning from Online Correctioncited by 59
- 2024Learning Quadruped Locomotion Using Differentiable Simulationcited by 32
- 2025The Reality Gap in Robotics: Challenges, Solutions, and Best Practicescited by 24
- 2024Learning Speed Adaptation for Flight in Cluttercited by 14
- 2025RAPTOR: A Foundation Policy for Quadrotor Controlcited by 8
- 2024Automatic Environment Shaping is the Next Frontier in RLcited by 7
- 2025One Net to Rule Them All: Domain Randomization in Quadcopter Racing Across Different Platformscited by 7
- 2024Dashing for the Golden Snitch: Multi-Drone Time-Optimal Motion Planning with Multi-Agent Reinforcement Learningcited by 6
- 2024Neuromorphic Attitude Estimation and Controlcited by 4
- 2025Decentralized Aerial Manipulation of a Cable-Suspended Load using Multi-Agent Reinforcement Learningcited by 4
12 most cited of 32 All 32 (JSON)
- 2026Conditional Invertible Neural Networks for Data-Driven UAV Control: A 2-D Proof of Concept15 Jul 2026
- 2026Machine Learning-based Feedback Linearization Control of Quadrotor Subject to Unmodeled Dynamics30 Jun 2026
- 2026MinNav: Minimalist Navigation Using Optical Flow For Active Tiny Aerial Robots5 Jun 2026
- 2026Superhuman Safe and Agile Racing through Multi-Agent Reinforcement Learning21 May 2026
- 2026Zero-Shot UAV Navigation in Forests via Relightable 3D Gaussian Splatting6 Feb 2026
- 2025Agile Flight Emerges from Multi-Agent Competitive Racing12 Dec 2025
- 2025SPIRAL: Self-Play Incremental Racing Algorithm for Learning in Multi-Drone Competitions26 Oct 2025
- 2025The Reality Gap in Robotics: Challenges, Solutions, and Best Practices23 Oct 2025
- 2025RAPTOR: A Foundation Policy for Quadrotor Control15 Sep 2025
- 2025Decentralized Aerial Manipulation of a Cable-Suspended Load using Multi-Agent Reinforcement Learning2 Aug 2025
- 2025Low-Latency Event-Based Velocimetry for Quadrotor Control in a Narrow Pipe21 Jul 2025
- 2025BURNS: Backward Underapproximate Reachability for Neural-Feedback-Loop Systems6 May 2025
12 newest of 32 All 32 (JSON)