mlsanityData to 14 Oct 2026

Data-Enabled Predictive Control: In the Shallows of the DeePC

arXiv 1811.05890 ↗First posted 14 Nov 2018math.OCcited by 38

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Abstract (arXiv)

We consider the problem of optimal trajectory tracking for unknown systems. A novel data-enabled predictive control (DeePC) algorithm is presented that computes optimal and safe control policies using real-time feedback driving the unknown system along a desired trajectory while satisfying system constraints. Using a finite number of data samples from the unknown system, our proposed algorithm uses a behavioural systems theory approach to learn a non-parametric system model used to predict future trajectories. The DeePC algorithm is shown to be equivalent to the classical and widely adopted Model Predictive Control (MPC) algorithm in the case of deterministic linear time-invariant systems. In the case of nonlinear stochastic systems, we propose regularizations to the DeePC algorithm. Simulations are provided to illustrate performance and compare the algorithm with other methods.

Key facts. Cited by 38 papers in the map (data through 14 Oct 2026). First posted on arXiv 14 Nov 2018.

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Citing papers per year: 2021: 6; 2022: 3; 2023: 4; 2024: 8; 2025: 9; 2026: 8.

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  1. 2025Synthesis of Model Predictive Control and Reinforcement Learning: Survey and Classificationcited by 26
  2. 2021Pointwise Feasibility of Gaussian Process-based Safety-Critical Control under Model Uncertaintycited by 13
  3. 2021Physics-informed linear regression is competitive with two Machine Learning methods in residential building MPCcited by 9
  4. 2021Symbolic Abstractions From Data: A PAC Learning Approachcited by 6
  5. 2023Basis functions nonlinear data-enabled predictive control: Consistent and computationally efficient formulationscited by 5
  6. 2025Policy Gradient Adaptive Control for the LQR: Indirect and Direct Approachescited by 5
  7. 2024A survey on secure decentralized optimization and learningcited by 4
  8. 2021Robust Data-Driven Predictive Control using Reachability Analysiscited by 3
  9. 2025Offline Reinforcement Learning via Inverse Optimizationcited by 3
  10. 2025Lessons learned from field demonstrations of model predictive control and reinforcement learning for residential and commercial HVAC: A reviewcited by 3
  11. 2025Deep Operator Neural Network Model Predictive Controlcited by 3
  12. 2024The Neuron as a Direct Data-Driven Controllercited by 2
26 more
  1. 2024Controller Synthesis from Noisy-Input Noisy-Output Datacited by 2
  2. 2024Data-Driven Stochastic Optimal Control in Reproducing Kernel Hilbert Spacescited by 2
  3. 2025Zero-Shot Transferable Solution Method for Parametric Optimal Control Problemscited by 2
  4. 2021Learning to Reach, Swim, Walk and Fly in One Trial: Data-Driven Control with Scarce Data and Side Informationcited by 1
  5. 2022Lessons Learned from Data-Driven Building Control Experiments: Contrasting Gaussian Process-based MPC, Bilevel DeePC, and Deep Reinforcement Learningcited by 1
  6. 2022Analysis and Detectability of Offline Data Poisoning Attacks on Linear Dynamical Systemscited by 1
  7. 2023Urban traffic congestion control: a DeePC changecited by 1
  8. 2024Data-driven Nonlinear Model Reduction using Koopman Theory: Integrated Control Form and NMPC Case Studycited by 1
  9. 2025Data-Driven Adaptive PID Control Based on Physics-Informed Neural Networkscited by 1
  10. 2026Receding-Horizon Control via Drifting Modelscited by 1
  11. 2021Online Optimization and Ambiguity-based Learning of Distributionally Uncertain Dynamic Systemscited by 0
  12. 2022Achievement and Fragility of Long-term Equitabilitycited by 0
  13. 2023LMI-based Data-Driven Robust Model Predictive Controlcited by 0
  14. 2023Data-Driven Adversarial Online Control for Unknown Linear Systemscited by 0
  15. 2024Uncertainty Quantification of Data-Driven Output Predictors in the Output Error Settingcited by 0
  16. 2024Data-Driven Predictive Control of Nonholonomic Robots Based on a Bilinear Koopman Realization: Data Does Not Replace Geometrycited by 0
  17. 2024Enforcing Cooperative Safety for Reinforcement Learning-based Mixed-Autonomy Platoon Controlcited by 0
  18. 2025Frequency Response Identification of Low-Order Systems: Finite-Sample Analysiscited by 0
  19. 2025Robust Least-Squares Optimization for Data-Driven Predictive Control: A Geometric Approachcited by 0
  20. 2026Adaptive Control of Unknown Linear Switched Systems via Policy Gradient Methodscited by 0
  21. 2026Data-driven generalized perimeter control: Z"urich case studycited by 0
  22. 2026Symplectic Inductive Bias for Data-Driven Target Reachability in Hamiltonian Systemscited by 0
  23. 2026A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spacescited by 0
  24. 2026Model-Based and Data-Driven Hierarchical Control and Topology Co-Design for Robust Networked Systemscited by 0
  25. 2026Deep Reinforcement Learning-Enhanced Event-Triggered Data-Driven Predictive Control for a 3D Cable-Driven Soft Robotic Armcited by 0
  26. 2026Hierarchical Decision Making with Structured Policies: A Principled Design via Inverse Optimizationcited by 0