Real-time Neural-MPC: Deep Learning Model Predictive Control for Quadrotors and Agile Robotic Platforms
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Abstract (arXiv)
Model Predictive Control (MPC) has become a popular framework in embedded control for high-performance autonomous systems. However, to achieve good control performance using MPC, an accurate dynamics model is key. To maintain real-time operation, the dynamics models used on embedded systems have been limited to simple first-principle models, which substantially limits their representative power. In contrast to such simple models, machine learning approaches, specifically neural networks, have been shown to accurately model even complex dynamic effects, but their large computational complexity hindered combination with fast real-time iteration loops. With this work, we present Real-time Neural MPC, a framework to efficiently integrate large, complex neural network architectures as dynamics models within a model-predictive control pipeline. Our experiments, performed in simulation and the real world onboard a highly agile quadrotor platform, demonstrate the capabilities of the described system to run learned models with, previously infeasible, large modeling capacity using gradient-based online optimization MPC. Compared to prior implementations of neural networks in online optimization MPC we can leverage models of over 4000 times larger parametric capacity in a 50Hz real-time window on an embedded platform. Further, we show the feasibility of our framework on real-world problems by reducing the positional tracking error by up to 82% when compared to state-of-the-art MPC approaches without neural network dynamics.
Key facts. Cited by 36 papers in the map (data through 7 Oct 2026). Builds on 19 of its 37 references that are in the map. First posted on arXiv 15 Mar 2022.
Builds on
19 of 37 references.
References · 19
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
- 2020Fourier Neural Operator for Parametric Partial Differential Equationscited by 2,806
- 2018Deep Reinforcement Learning in a Handful of Trials using Probabilistic Dynamics Modelscited by 748
- 2016TensorFlow: Large-Scale Machine Learning on Heterogeneous Distributed Systemscited by 660
- 2018Learning Dexterous In-Hand Manipulationcited by 643
- 2019Learning agile and dynamic motor skills for legged robotscited by 402
- 2018Neural Lander: Stable Drone Landing Control using Learned Dynamicscited by 82
- 2020Deep Drone Acrobaticscited by 66
- 2019acados: a modular open-source framework for fast embedded optimal controlcited by 61
- 2019Model-Predictive Policy Learning with Uncertainty Regularization for Driving in Dense Trafficcited by 50
- 2019Low Level Control of a Quadrotor with Deep Model-Based Reinforcement Learningcited by 40
- 2021NeuroBEM: Hybrid Aerodynamic Quadrotor Modelcited by 33
7 more
- 2021Data-Driven MPC for Quadrotorscited by 32
- 2017Differential Flatness of Quadrotor Dynamics Subject to Rotor Drag for Accurate Tracking of High-Speed Trajectoriescited by 28
- 2021KNODE-MPC: A Knowledge-based Data-driven Predictive Control Framework for Aerial Robotscited by 26
- 2018PAMPC: Perception-Aware Model Predictive Control for Quadrotorscited by 22
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Citing papers per year: 2022: 2; 2023: 6; 2024: 14; 2025: 9; 2026: 5.
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- 2025Real-Time Execution of Action Chunking Flow Policiescited by 199
- 2024A Large Recurrent Action Model: xLSTM enables Fast Inference for Robotics Taskscited by 14
- 2022RAMP-Net: A Robust Adaptive MPC for Quadrotors via Physics-informed Neural Networkcited by 12
- 2023Learning for CasADi: Data-driven Models in Numerical Optimizationcited by 11
- 2024Feedback Favors the Generalization of Neural ODEscited by 8
- 2024NeuPAN: Direct Point Robot Navigation with End-to-End Model-based Learningcited by 7
- 2022Zero-Order Optimization for Gaussian Process-based Model Predictive Controlcited by 4
- 2023Neural Potential Field for Obstacle-Aware Local Motion Planningcited by 4
- 2024AC4MPC: Actor-Critic Reinforcement Learning for Nonlinear Model Predictive Controlcited by 4
- 2024Learning Maximal Safe Sets Using Hypernetworks for MPC-based Local Trajectory Planning in Unknown Environmentscited by 3
- 2025Deep Operator Neural Network Model Predictive Controlcited by 3
- 2026Closed-Loop Action Chunks with Dynamic Corrections for Training-Free Diffusion Policycited by 3
24 more
- 2023Learning the References of Online Model Predictive Control for Urban Self-Drivingcited by 2
- 2023ASV Station Keeping under Wind Disturbances using Neural Network Simulation Error Minimization Model Predictive Controlcited by 2
- 2024Neural Horizon Model Predictive Control -- Increasing Computational Efficiency with Neural Networkscited by 2
- 2025Context-Aware Deep Lagrangian Networks for Model Predictive Controlcited by 2
- 2023Deep active learning for nonlinear system identificationcited by 1
- 2024Reinforcement Learning Compensated Model Predictive Control for Off-road Driving on Unknown Deformable Terraincited by 1
- 2024Dynamic Tube MPC: Learning Tube Dynamics with Massively Parallel Simulation for Robust Safety in Practicecited by 1
- 2025PI-WAN: A Physics-Informed Wind-Adaptive Network for Quadrotor Dynamics Prediction in Unknown Environmentscited by 1
- 2025Reservoir Predictive Path Integral Control for Unknown Nonlinear Dynamicscited by 1
- 2023Multi-Abstractive Neural Controller: An Efficient Hierarchical Control Architecture for Interactive Drivingcited by 0
- 2024The Artificial Neural Twin -- Process Optimization and Continual Learning in Distributed Process Chainscited by 0
- 2024Efficient model predictive control for nonlinear systems modelled by deep neural networkscited by 0
- 2024Deep Reinforcement Learning Behavioral Mode Switching Using Optimal Control Based on a Latent Space Objectivecited by 0
- 2024Dropout MPC: An Ensemble Neural MPC Approach for Systems with Learned Dynamicscited by 0
- 2024Dynamic Neural Potential Field: Online Trajectory Optimization in the Presence of Moving Obstaclescited by 0
- 2024Receding Hamiltonian-Informed Optimal Neural Control and State Estimation for Closed-Loop Dynamical Systemscited by 0
- 2025Model-Free Predictive Control: Introductory Algebraic Calculations, and a Comparison with HEOL and ANNscited by 0
- 2025Actor-Critic Cooperative Compensation to Model Predictive Control for Off-Road Autonomous Vehicles Under Unknown Dynamicscited by 0
- 2025Control Invariant Sets for Neural Network Dynamical Systems and Recursive Feasibility in Model Predictive Controlcited by 0
- 2025MIND-Stack: Modular, Interpretable, End-to-End Differentiability for Autonomous Navigationcited by 0
- 2026Sharpness-Aware Hybrid Model Learning for Architecture-Agnostic Parameter Estimationcited by 0
- 2026Model Predictive Path Integral PID Control for Learning-Based Path Followingcited by 0
- 2026T2S-MPC: Time-Embedded Online Adaptive Model Predictive Control for Time-Varying Dynamicscited by 0
- 2026Language-Guided Terrain-Adaptive Neural MPC for Autonomous Traversal of Articulated Tracked Robotscited by 0
- 2026Language-Guided Terrain-Adaptive Neural MPC for Autonomous Traversal of Articulated Tracked Robots11 Sep 2026
- 2026T2S-MPC: Time-Embedded Online Adaptive Model Predictive Control for Time-Varying Dynamics24 May 2026
- 2026Model Predictive Path Integral PID Control for Learning-Based Path Following31 Mar 2026
- 2026Closed-Loop Action Chunks with Dynamic Corrections for Training-Free Diffusion Policy2 Mar 2026
- 2026Sharpness-Aware Hybrid Model Learning for Architecture-Agnostic Parameter Estimation6 Feb 2026
- 2025Reservoir Predictive Path Integral Control for Unknown Nonlinear Dynamics4 Sep 2025
- 2025PI-WAN: A Physics-Informed Wind-Adaptive Network for Quadrotor Dynamics Prediction in Unknown Environments1 Jul 2025
- 2025Context-Aware Deep Lagrangian Networks for Model Predictive Control18 Jun 2025
- 2025Real-Time Execution of Action Chunking Flow Policies9 Jun 2025
- 2025MIND-Stack: Modular, Interpretable, End-to-End Differentiability for Autonomous Navigation27 May 2025
- 2025Deep Operator Neural Network Model Predictive Control23 May 2025
- 2025Control Invariant Sets for Neural Network Dynamical Systems and Recursive Feasibility in Model Predictive Control15 May 2025
24 more
- 2025Actor-Critic Cooperative Compensation to Model Predictive Control for Off-Road Autonomous Vehicles Under Unknown Dynamics1 Mar 2025
- 2025Model-Free Predictive Control: Introductory Algebraic Calculations, and a Comparison with HEOL and ANNs1 Feb 2025
- 2024Dynamic Tube MPC: Learning Tube Dynamics with Massively Parallel Simulation for Robust Safety in Practice22 Nov 2024
- 2024Receding Hamiltonian-Informed Optimal Neural Control and State Estimation for Closed-Loop Dynamical Systems2 Nov 2024
- 2024A Large Recurrent Action Model: xLSTM enables Fast Inference for Robotics Tasks29 Oct 2024
- 2024Learning Maximal Safe Sets Using Hypernetworks for MPC-based Local Trajectory Planning in Unknown Environments26 Oct 2024
- 2024Feedback Favors the Generalization of Neural ODEs14 Oct 2024
- 2024Dynamic Neural Potential Field: Online Trajectory Optimization in the Presence of Moving Obstacles9 Oct 2024
- 2024Neural Horizon Model Predictive Control -- Increasing Computational Efficiency with Neural Networks19 Aug 2024
- 2024Reinforcement Learning Compensated Model Predictive Control for Off-road Driving on Unknown Deformable Terrain17 Aug 2024
- 2024AC4MPC: Actor-Critic Reinforcement Learning for Nonlinear Model Predictive Control6 Jun 2024
- 2024Dropout MPC: An Ensemble Neural MPC Approach for Systems with Learned Dynamics4 Jun 2024
- 2024Deep Reinforcement Learning Behavioral Mode Switching Using Optimal Control Based on a Latent Space Objective3 Jun 2024
- 2024Efficient model predictive control for nonlinear systems modelled by deep neural networks16 May 2024
- 2024The Artificial Neural Twin -- Process Optimization and Continual Learning in Distributed Process Chains27 Mar 2024
- 2024NeuPAN: Direct Point Robot Navigation with End-to-End Model-based Learning11 Mar 2024
- 2023Learning for CasADi: Data-driven Models in Numerical Optimization10 Dec 2023
- 2023Neural Potential Field for Obstacle-Aware Local Motion Planning25 Oct 2023
- 2023ASV Station Keeping under Wind Disturbances using Neural Network Simulation Error Minimization Model Predictive Control11 Oct 2023
- 2023Learning the References of Online Model Predictive Control for Urban Self-Driving30 Aug 2023
- 2023Multi-Abstractive Neural Controller: An Efficient Hierarchical Control Architecture for Interactive Driving24 May 2023
- 2023Deep active learning for nonlinear system identification24 Feb 2023
- 2022Zero-Order Optimization for Gaussian Process-based Model Predictive Control28 Nov 2022
- 2022RAMP-Net: A Robust Adaptive MPC for Quadrotors via Physics-informed Neural Network19 Sep 2022
- 2023Learning the References of Online Model Predictive Control for Urban Self-Drivingcited by 2
- 2024Reinforcement Learning Compensated Model Predictive Control for Off-road Driving on Unknown Deformable Terraincited by 1
- 2023Multi-Abstractive Neural Controller: An Efficient Hierarchical Control Architecture for Interactive Drivingcited by 0
- 2025Actor-Critic Cooperative Compensation to Model Predictive Control for Off-Road Autonomous Vehicles Under Unknown Dynamicscited by 0
- 2025Actor-Critic Cooperative Compensation to Model Predictive Control for Off-Road Autonomous Vehicles Under Unknown Dynamics1 Mar 2025
- 2024Reinforcement Learning Compensated Model Predictive Control for Off-road Driving on Unknown Deformable Terrain17 Aug 2024
- 2023Learning the References of Online Model Predictive Control for Urban Self-Driving30 Aug 2023
- 2023Multi-Abstractive Neural Controller: An Efficient Hierarchical Control Architecture for Interactive Driving24 May 2023
- 2025Real-Time Execution of Action Chunking Flow Policiescited by 199
- 2024A Large Recurrent Action Model: xLSTM enables Fast Inference for Robotics Taskscited by 14
- 2022RAMP-Net: A Robust Adaptive MPC for Quadrotors via Physics-informed Neural Networkcited by 12
- 2023Learning for CasADi: Data-driven Models in Numerical Optimizationcited by 11
- 2024Feedback Favors the Generalization of Neural ODEscited by 8
- 2024NeuPAN: Direct Point Robot Navigation with End-to-End Model-based Learningcited by 7
- 2022Zero-Order Optimization for Gaussian Process-based Model Predictive Controlcited by 4
- 2023Neural Potential Field for Obstacle-Aware Local Motion Planningcited by 4
- 2024AC4MPC: Actor-Critic Reinforcement Learning for Nonlinear Model Predictive Controlcited by 4
- 2024Learning Maximal Safe Sets Using Hypernetworks for MPC-based Local Trajectory Planning in Unknown Environmentscited by 3
- 2025Deep Operator Neural Network Model Predictive Controlcited by 3
- 2023ASV Station Keeping under Wind Disturbances using Neural Network Simulation Error Minimization Model Predictive Controlcited by 2
12 most cited of 31 All 31 (JSON)
- 2026Language-Guided Terrain-Adaptive Neural MPC for Autonomous Traversal of Articulated Tracked Robots11 Sep 2026
- 2026T2S-MPC: Time-Embedded Online Adaptive Model Predictive Control for Time-Varying Dynamics24 May 2026
- 2026Model Predictive Path Integral PID Control for Learning-Based Path Following31 Mar 2026
- 2026Sharpness-Aware Hybrid Model Learning for Architecture-Agnostic Parameter Estimation6 Feb 2026
- 2025Reservoir Predictive Path Integral Control for Unknown Nonlinear Dynamics4 Sep 2025
- 2025PI-WAN: A Physics-Informed Wind-Adaptive Network for Quadrotor Dynamics Prediction in Unknown Environments1 Jul 2025
- 2025Context-Aware Deep Lagrangian Networks for Model Predictive Control18 Jun 2025
- 2025Real-Time Execution of Action Chunking Flow Policies9 Jun 2025
- 2025MIND-Stack: Modular, Interpretable, End-to-End Differentiability for Autonomous Navigation27 May 2025
- 2025Deep Operator Neural Network Model Predictive Control23 May 2025
- 2025Control Invariant Sets for Neural Network Dynamical Systems and Recursive Feasibility in Model Predictive Control15 May 2025
- 2025Model-Free Predictive Control: Introductory Algebraic Calculations, and a Comparison with HEOL and ANNs1 Feb 2025
12 newest of 31 All 31 (JSON)