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End-to-End Reinforcement Learning of Koopman Models for eNMPC of an Air Separation Unit

arXiv 2511.04522 ↗First posted 6 Nov 2025cs.LG math.OCcited by 0

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Abstract (arXiv)

With our recently proposed method based on reinforcement learning (Mayfrank et al. (2024), Comput. Chem. Eng. 190), Koopman surrogate models can be trained for optimal performance in specific (economic) nonlinear model predictive control ((e)NMPC) applications. So far, our method has exclusively been demonstrated on a small-scale case study. Herein, we show that our method scales well to a more challenging demand response case study built on a large-scale model of a single-product (nitrogen) air separation unit. Across all numerical experiments, we assume observability of only a few realistically measurable plant variables. Compared to a purely system identification-based Koopman eNMPC, which generates small economic savings but frequently violates constraints, our method delivers similar economic performance while avoiding constraint violations.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 8 of its 20 references that are in the map. First posted on arXiv 6 Nov 2025.

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References · 8

  1. 2017Proximal Policy Optimization Algorithmscited by 14,441
  2. 2019Differentiable Convex Optimization Layerscited by 458
  3. 2018Differentiable MPC for End-to-end Planning and Controlcited by 178
  4. 2016Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive controlcited by 134
  5. 2019Data-driven Economic NMPC using Reinforcement Learningcited by 55
  6. 2023End-to-End Reinforcement Learning of Koopman Models for Economic Nonlinear Model Predictive Controlcited by 6
  7. 2023Data-Driven Model Reduction and Nonlinear Model Predictive Control of an Air Separation Unit by Applied Koopman Theorycited by 3
  8. 2022Data-driven End-to-end Learning of Pole Placement Control for Nonlinear Dynamics via Koopman Invariant Subspacescited by 2

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