mlsanityData to 14 Oct 2026

Enforcing Policy Feasibility Constraints through Differentiable Projection for Energy Optimization

arXiv 2105.08881 ↗First posted 19 May 2021eess.SY cs.LG cs.SYcited by 31

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Abstract (arXiv)

While reinforcement learning (RL) is gaining popularity in energy systems control, its real-world applications are limited due to the fact that the actions from learned policies may not satisfy functional requirements or be feasible for the underlying physical system. In this work, we propose PROjected Feasibility (PROF), a method to enforce convex operational constraints within neural policies. Specifically, we incorporate a differentiable projection layer within a neural network-based policy to enforce that all learned actions are feasible. We then update the policy end-to-end by propagating gradients through this differentiable projection layer, making the policy cognizant of the operational constraints. We demonstrate our method on two applications: energy-efficient building operation and inverter control. In the building operation setting, we show that PROF maintains thermal comfort requirements while improving energy efficiency by 4% over state-of-the-art methods. In the inverter control setting, PROF perfectly satisfies voltage constraints on the IEEE 37-bus feeder system, as it learns to curtail as little renewable energy as possible within its safety set.

Key facts. Cited by 31 papers in the map (data through 14 Oct 2026). Builds on 33 of its 157 references that are in the map. First posted on arXiv 19 May 2021.

Builds on

33 of 157 references.

References · 33

  1. 2017Proximal Policy Optimization Algorithmscited by 15,215
  2. 2018Neural Ordinary Differential Equationscited by 3,779
  3. 2015High-Dimensional Continuous Control Using Generalized Advantage Estimationcited by 2,026
  4. 2017Constrained Policy Optimizationcited by 983
  5. 2019Hamiltonian Neural Networkscited by 712
  6. 2019Deep Equilibrium Modelscited by 615
  7. 2017OptNet: Differentiable Optimization as a Layer in Neural Networkscited by 599
  8. 2019Differentiable Convex Optimization Layerscited by 465
  9. 2017Robust Adversarial Reinforcement Learningcited by 451
  10. 2017Safe Model-based Reinforcement Learning with Stability Guaranteescited by 366
  11. 2019Tackling Climate Change with Machine Learningcited by 265
  12. 2020Projection-Based Constrained Policy Optimizationcited by 203
21 more
  1. 2019SATNet: Bridging deep learning and logical reasoning using a differentiable satisfiability solvercited by 173
  2. 2020Neural Lyapunov Controlcited by 142
  3. 2019Predicting AC Optimal Power Flows: Combining Deep Learning and Lagrangian Dual Methodscited by 94
  4. 2019Deep Declarative Networks: A New Hopecited by 78
  5. 2019Learning Optimal Solutions for Extremely Fast AC Optimal Power Flowcited by 77
  6. 2016Safe Exploration in Finite Markov Decision Processes with Gaussian Processescited by 75
  7. 2017OptLayer - Practical Constrained Optimization for Deep Reinforcement Learning in the Real Worldcited by 70
  8. 2019Policy Optimization for H2 Linear Control with H_∞ Robustness Guarantee: Implicit Regularization and Global Convergencecited by 46
  9. 2020Enforcing robust control guarantees within neural network policiescited by 40
  10. 2020Verifiably Safe Exploration for End-to-End Reinforcement Learningcited by 34
  11. 2018What game are we playing? End-to-end learning in normal and extensive form gamescited by 22
  12. 2018Differentiable Submodular Maximizationcited by 19
  13. 2019Verifiably Safe Off-Model Reinforcement Learningcited by 16
  14. 2020High-Fidelity Machine Learning Approximations of Large-Scale Optimal Power Flowcited by 13
  15. 2019Solving Online Threat Screening Games using Constrained Action Space Reinforcement Learningcited by 10
  16. 2019Designing reactive power control rules for smart inverters using support vector machinescited by 7
  17. 2019H_∞ Model-free Reinforcement Learning with Robust Stability Guaranteecited by 7
  18. 2020COHORT: Coordination of Heterogeneous Thermostatically Controlled Loads for Demand Flexibilitycited by 5
  19. 2017Network-Cognizant Voltage Droop Control for Distribution Gridscited by 4
  20. 2016A Geometric Approach to Aggregate Flexibility Modeling of Thermostatically Controlled Loadscited by 2
  21. 2020Deep Learning for Reactive Power Control of Smart Inverters under Communication Constraintscited by 2

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2021: 3; 2022: 5; 2023: 10; 2024: 5; 2025: 5; 2026: 3.

31 papers.

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  1. 2023A Survey of Contextual Optimization Methods for Decision Making under Uncertaintycited by 82
  2. 2022Self-Supervised Primal-Dual Learning for Constrained Optimizationcited by 61
  3. 2021Safe Pontryagin Differentiable Programmingcited by 26
  4. 2024Application-Driven Innovation in Machine Learningcited by 24
  5. 2021Conditional Synthetic Data Generation for Robust Machine Learning Applications with Limited Pandemic Datacited by 18
  6. 2024Softened Symbol Grounding for Neuro-symbolic Systemscited by 16
  7. 2023Differentiating Through Integer Linear Programs with Quadratic Regularization and Davis-Yin Splittingcited by 11
  8. 2023Benchmarking Actor-Critic Deep Reinforcement Learning Algorithms for Robotics Control with Action Constraintscited by 11
  9. 2025Enforcing Hard Linear Constraints in Deep Learning Models with Decision Rulescited by 10
  10. 2025Efficient Action-Constrained Reinforcement Learning via Acceptance-Rejection Method and Augmented MDPscited by 9
  11. 2024The Smart Buildings Control Suite: A Diverse Open Source Benchmark to Evaluate and Scale HVAC Control Policies for Sustainabilitycited by 5
  12. 2025Safe Reinforcement Learning using Action Projection: Safeguard the Policy or the Environment?cited by 5
19 more
  1. 2021CDCGen: Cross-Domain Conditional Generation via Normalizing Flows and Adversarial Trainingcited by 4
  2. 2022Near-optimal Deep Reinforcement Learning Policies from Data for Zone Temperature Controlcited by 4
  3. 2024CommonPower: A Framework for Safe Data-Driven Smart Grid Controlcited by 4
  4. 2023You Shall Pass: Dealing with the Zero-Gradient Problem in Predict and Optimize for Convex Optimizationcited by 3
  5. 2026Improving Feasibility via Fast Autoencoder-Based Projectionscited by 3
  6. 2023Self-supervised Equality Embedded Deep Lagrange Dual for Approximate Constrained Optimizationcited by 2
  7. 2023DFWLayer: Differentiable Frank-Wolfe Optimization Layercited by 2
  8. 2023E2E-AT: A Unified Framework for Tackling Uncertainty in Task-aware End-to-end Learningcited by 2
  9. 2022Conditional Synthetic Data Generation for Personal Thermal Comfort Modelscited by 1
  10. 2023Multi-market Energy Optimization with Renewables via Reinforcement Learningcited by 1
  11. 2023Anytime-Competitive Reinforcement Learning with Policy Priorcited by 1
  12. 2023Two-Stage Predict+Optimize for Mixed Integer Linear Programs with Unknown Parameters in Constraintscited by 1
  13. 2024Control Policy Correction Framework for Reinforcement Learning-based Energy Arbitrage Strategiescited by 1
  14. 2025Leveraging Analytic Gradients in Provably Safe Reinforcement Learningcited by 1
  15. 2025T-SKM-Net: Trainable Neural Network Framework for Linear Constraint Satisfaction via Sampling Kaczmarz-Motzkin Methodcited by 1
  16. 2026Solving Max-Cut to Global Optimality via Feasibility-Preserving Graph Neural Networkscited by 1
  17. 2022Computationally Efficient Reinforcement Learning: Targeted Exploration leveraging Simple Rulescited by 0
  18. 2022Efficient Reinforcement Learning Through Trajectory Generationcited by 0
  19. 2026End-to-End Learning of Safe Optimal Feedback Control in High Dimensions with Control Barrier Function Layerscited by 0