Practical Reinforcement Learning of Stabilizing Economic MPC
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Abstract (arXiv)
Reinforcement Learning (RL) has demonstrated a huge potential in learning optimal policies without any prior knowledge of the process to be controlled. Model Predictive Control (MPC) is a popular control technique which is able to deal with nonlinear dynamics and state and input constraints. The main drawback of MPC is the need of identifying an accurate model, which in many cases cannot be easily obtained. Because of model inaccuracy, MPC can fail at delivering satisfactory closed-loop performance. Using RL to tune the MPC formulation or, conversely, using MPC as a function approximator in RL allows one to combine the advantages of the two techniques. This approach has important advantages, but it requires an adaptation of the existing algorithms. We therefore propose an improved RL algorithm for MPC and test it in simulations on a rather challenging example.
Key facts. Cited by 17 papers in the map (data through 14 Oct 2026). First posted on arXiv 9 Apr 2019.
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Citing papers per year: 2021: 5; 2022: 2; 2023: 2; 2024: 2; 2025: 5; 2026: 1.
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- 2021Where to go next: Learning a Subgoal Recommendation Policy for Navigation Among Pedestrianscited by 28
- 2025Synthesis of Model Predictive Control and Reinforcement Learning: Survey and Classificationcited by 26
- 2021Stability-Constrained Markov Decision Processes Using MPCcited by 5
- 2022Learning Stochastic Parametric Differentiable Predictive Control Policiescited by 4
- 2024Critic as Lyapunov function (CALF): a model-free, stability-ensuring agentcited by 4
- 2025ZipMPC: Compressed Context-Dependent MPC Cost via Imitation Learningcited by 3
- 2021Approximate Robust NMPC using Reinforcement Learningcited by 2
- 2021A Reinforcement Learning-based Economic Model Predictive Control Framework for Autonomous Operation of Chemical Reactorscited by 2
- 2021A note on stabilizing reinforcement learningcited by 2
- 2023Control invariant set enhanced safe reinforcement learning: improved sampling efficiency, guaranteed stability and robustnesscited by 2
- 2023Control invariant set enhanced reinforcement learning for process control: improved sampling efficiency and guaranteed stabilitycited by 1
- 2024A novel agent with formal goal-reaching guarantees: an experimental study with a mobile robotcited by 1
5 more
- 2022A framework for online, stabilizing reinforcement learningcited by 0
- 2025Convergent NMPC-based Reinforcement Learning Using Deep Expected Sarsa and Nonlinear Temporal Difference Learningcited by 0
- 2025Human-aligned Safe Reinforcement Learning for Highway On-Ramp Merging in Dense Trafficcited by 0
- 2025Mission-Aligned Learning-Informed Control of Autonomous Systems: Formulation and Foundationscited by 0
- 2026Accelerating Reinforcement Learning via MPC Solver-Gradient Guidance for Weights-varying MPCcited by 0
- 2026Accelerating Reinforcement Learning via MPC Solver-Gradient Guidance for Weights-varying MPC1 Sep 2026
- 2025ZipMPC: Compressed Context-Dependent MPC Cost via Imitation Learning17 Jul 2025
- 2025Mission-Aligned Learning-Informed Control of Autonomous Systems: Formulation and Foundations6 Jul 2025
- 2025Human-aligned Safe Reinforcement Learning for Highway On-Ramp Merging in Dense Traffic4 Mar 2025
- 2025Convergent NMPC-based Reinforcement Learning Using Deep Expected Sarsa and Nonlinear Temporal Difference Learning7 Feb 2025
- 2025Synthesis of Model Predictive Control and Reinforcement Learning: Survey and Classification4 Feb 2025
- 2024A novel agent with formal goal-reaching guarantees: an experimental study with a mobile robot23 Sep 2024
- 2024Critic as Lyapunov function (CALF): a model-free, stability-ensuring agent15 Sep 2024
- 2023Control invariant set enhanced safe reinforcement learning: improved sampling efficiency, guaranteed stability and robustness24 May 2023
- 2023Control invariant set enhanced reinforcement learning for process control: improved sampling efficiency and guaranteed stability11 Apr 2023
- 2022A framework for online, stabilizing reinforcement learning18 Jul 2022
- 2022Learning Stochastic Parametric Differentiable Predictive Control Policies2 Mar 2022
5 more
- 2021A note on stabilizing reinforcement learning24 Nov 2021
- 2021A Reinforcement Learning-based Economic Model Predictive Control Framework for Autonomous Operation of Chemical Reactors6 May 2021
- 2021Approximate Robust NMPC using Reinforcement Learning6 Apr 2021
- 2021Where to go next: Learning a Subgoal Recommendation Policy for Navigation Among Pedestrians25 Feb 2021
- 2021Stability-Constrained Markov Decision Processes Using MPC2 Feb 2021
- 2025Synthesis of Model Predictive Control and Reinforcement Learning: Survey and Classificationcited by 26
- 2024Critic as Lyapunov function (CALF): a model-free, stability-ensuring agentcited by 4
- 2024A novel agent with formal goal-reaching guarantees: an experimental study with a mobile robotcited by 1
- 2025Convergent NMPC-based Reinforcement Learning Using Deep Expected Sarsa and Nonlinear Temporal Difference Learningcited by 0
- 2025Human-aligned Safe Reinforcement Learning for Highway On-Ramp Merging in Dense Trafficcited by 0
- 2026Accelerating Reinforcement Learning via MPC Solver-Gradient Guidance for Weights-varying MPCcited by 0
- 2026Accelerating Reinforcement Learning via MPC Solver-Gradient Guidance for Weights-varying MPC1 Sep 2026
- 2025Human-aligned Safe Reinforcement Learning for Highway On-Ramp Merging in Dense Traffic4 Mar 2025
- 2025Convergent NMPC-based Reinforcement Learning Using Deep Expected Sarsa and Nonlinear Temporal Difference Learning7 Feb 2025
- 2025Synthesis of Model Predictive Control and Reinforcement Learning: Survey and Classification4 Feb 2025
- 2024A novel agent with formal goal-reaching guarantees: an experimental study with a mobile robot23 Sep 2024
- 2024Critic as Lyapunov function (CALF): a model-free, stability-ensuring agent15 Sep 2024
- 2021Where to go next: Learning a Subgoal Recommendation Policy for Navigation Among Pedestrianscited by 28
- 2021Stability-Constrained Markov Decision Processes Using MPCcited by 5
- 2022Learning Stochastic Parametric Differentiable Predictive Control Policiescited by 4
- 2021Approximate Robust NMPC using Reinforcement Learningcited by 2
- 2021A Reinforcement Learning-based Economic Model Predictive Control Framework for Autonomous Operation of Chemical Reactorscited by 2
- 2021A note on stabilizing reinforcement learningcited by 2
- 2023Control invariant set enhanced safe reinforcement learning: improved sampling efficiency, guaranteed stability and robustnesscited by 2
- 2023Control invariant set enhanced reinforcement learning for process control: improved sampling efficiency and guaranteed stabilitycited by 1
- 2022A framework for online, stabilizing reinforcement learningcited by 0
- 2025Mission-Aligned Learning-Informed Control of Autonomous Systems: Formulation and Foundationscited by 0
- 2025Mission-Aligned Learning-Informed Control of Autonomous Systems: Formulation and Foundations6 Jul 2025
- 2023Control invariant set enhanced safe reinforcement learning: improved sampling efficiency, guaranteed stability and robustness24 May 2023
- 2023Control invariant set enhanced reinforcement learning for process control: improved sampling efficiency and guaranteed stability11 Apr 2023
- 2022A framework for online, stabilizing reinforcement learning18 Jul 2022
- 2022Learning Stochastic Parametric Differentiable Predictive Control Policies2 Mar 2022
- 2021A note on stabilizing reinforcement learning24 Nov 2021
- 2021A Reinforcement Learning-based Economic Model Predictive Control Framework for Autonomous Operation of Chemical Reactors6 May 2021
- 2021Approximate Robust NMPC using Reinforcement Learning6 Apr 2021
- 2021Where to go next: Learning a Subgoal Recommendation Policy for Navigation Among Pedestrians25 Feb 2021
- 2021Stability-Constrained Markov Decision Processes Using MPC2 Feb 2021