Practical Reinforcement Learning For MPC: Learning from sparse objectives in under an hour on a real robot
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Abstract (arXiv)
Model Predictive Control (MPC) is a powerful control technique that handles constraints, takes the system's dynamics into account, and optimizes for a given cost function. In practice, however, it often requires an expert to craft and tune this cost function and find trade-offs between different state penalties to satisfy simple high level objectives. In this paper, we use Reinforcement Learning and in particular value learning to approximate the value function given only high level objectives, which can be sparse and binary. Building upon previous works, we present improvements that allowed us to successfully deploy the method on a real world unmanned ground vehicle. Our experiments show that our method can learn the cost function from scratch and without human intervention, while reaching a performance level similar to that of an expert-tuned MPC. We perform a quantitative comparison of these methods with standard MPC approaches both in simulation and on the real robot.
Key facts. Cited by 15 papers in the map (data through 7 Oct 2026). First posted on arXiv 6 Mar 2020.
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Citing papers per year: 2021: 5; 2022: 1; 2023: 3; 2024: 4; 2025: 1; 2026: 1.
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- 2021Regularized Newton Method with Global O(1/k2) Convergencecited by 22
- 2021Where to go next: Learning a Subgoal Recommendation Policy for Navigation Among Pedestrianscited by 20
- 2025Synthesis of Model Predictive Control and Reinforcement Learning: Survey and Classificationcited by 19
- 2021Optimal Cost Design for Model Predictive Controlcited by 12
- 2021Safe Model-based Off-policy Reinforcement Learning for Eco-Driving in Connected and Automated Hybrid Electric Vehiclescited by 6
- 2022Event-Triggered Model Predictive Control with Deep Reinforcement Learning for Autonomous Drivingcited by 6
- 2021Regret Analysis of Learning-Based MPC with Partially-Unknown Cost Functioncited by 5
- 2024AC4MPC: Actor-Critic Reinforcement Learning for Nonlinear Model Predictive Controlcited by 4
- 2024Critic as Lyapunov function (CALF): a model-free, stability-ensuring agentcited by 4
- 2024Large Language Model-Enhanced Reinforcement Learning for Generic Bus Holding Control Strategiescited by 4
- 2023Learning the References of Online Model Predictive Control for Urban Self-Drivingcited by 2
- 2023Out-of-Distribution-Aware Electric Vehicle Chargingcited by 1
3 more
- 2023Combining model-predictive control and predictive reinforcement learning for stable quadrupedal robot locomotioncited by 0
- 2024A novel agent with formal goal-reaching guarantees: an experimental study with a mobile robotcited by 0
- 2026Hierarchical Decision Making with Structured Policies: A Principled Design via Inverse Optimizationcited by 0
- 2026Hierarchical Decision Making with Structured Policies: A Principled Design via Inverse Optimization27 Jun 2026
- 2025Synthesis of Model Predictive Control and Reinforcement Learning: Survey and Classification4 Feb 2025
- 2024Large Language Model-Enhanced Reinforcement Learning for Generic Bus Holding Control Strategies14 Oct 2024
- 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
- 2024AC4MPC: Actor-Critic Reinforcement Learning for Nonlinear Model Predictive Control6 Jun 2024
- 2023Out-of-Distribution-Aware Electric Vehicle Charging10 Nov 2023
- 2023Learning the References of Online Model Predictive Control for Urban Self-Driving30 Aug 2023
- 2023Combining model-predictive control and predictive reinforcement learning for stable quadrupedal robot locomotion15 Jul 2023
- 2022Event-Triggered Model Predictive Control with Deep Reinforcement Learning for Autonomous Driving22 Aug 2022
- 2021Regularized Newton Method with Global O(1/k2) Convergence3 Dec 2021
- 2021Regret Analysis of Learning-Based MPC with Partially-Unknown Cost Function4 Aug 2021
3 more
- 2021Safe Model-based Off-policy Reinforcement Learning for Eco-Driving in Connected and Automated Hybrid Electric Vehicles25 May 2021
- 2021Optimal Cost Design for Model Predictive Control23 Apr 2021
- 2021Where to go next: Learning a Subgoal Recommendation Policy for Navigation Among Pedestrians25 Feb 2021
- 2021Safe Model-based Off-policy Reinforcement Learning for Eco-Driving in Connected and Automated Hybrid Electric Vehiclescited by 6
- 2022Event-Triggered Model Predictive Control with Deep Reinforcement Learning for Autonomous Drivingcited by 6
- 2023Learning the References of Online Model Predictive Control for Urban Self-Drivingcited by 2
- 2023Learning the References of Online Model Predictive Control for Urban Self-Driving30 Aug 2023
- 2022Event-Triggered Model Predictive Control with Deep Reinforcement Learning for Autonomous Driving22 Aug 2022
- 2021Safe Model-based Off-policy Reinforcement Learning for Eco-Driving in Connected and Automated Hybrid Electric Vehicles25 May 2021
- 2021Regularized Newton Method with Global O(1/k2) Convergencecited by 22
- 2021Where to go next: Learning a Subgoal Recommendation Policy for Navigation Among Pedestrianscited by 20
- 2025Synthesis of Model Predictive Control and Reinforcement Learning: Survey and Classificationcited by 19
- 2021Optimal Cost Design for Model Predictive Controlcited by 12
- 2021Regret Analysis of Learning-Based MPC with Partially-Unknown Cost Functioncited by 5
- 2024AC4MPC: Actor-Critic Reinforcement Learning for Nonlinear Model Predictive Controlcited by 4
- 2024Critic as Lyapunov function (CALF): a model-free, stability-ensuring agentcited by 4
- 2024Large Language Model-Enhanced Reinforcement Learning for Generic Bus Holding Control Strategiescited by 4
- 2023Out-of-Distribution-Aware Electric Vehicle Chargingcited by 1
- 2023Combining model-predictive control and predictive reinforcement learning for stable quadrupedal robot locomotioncited by 0
- 2024A novel agent with formal goal-reaching guarantees: an experimental study with a mobile robotcited by 0
- 2026Hierarchical Decision Making with Structured Policies: A Principled Design via Inverse Optimizationcited by 0
- 2026Hierarchical Decision Making with Structured Policies: A Principled Design via Inverse Optimization27 Jun 2026
- 2025Synthesis of Model Predictive Control and Reinforcement Learning: Survey and Classification4 Feb 2025
- 2024Large Language Model-Enhanced Reinforcement Learning for Generic Bus Holding Control Strategies14 Oct 2024
- 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
- 2024AC4MPC: Actor-Critic Reinforcement Learning for Nonlinear Model Predictive Control6 Jun 2024
- 2023Out-of-Distribution-Aware Electric Vehicle Charging10 Nov 2023
- 2023Combining model-predictive control and predictive reinforcement learning for stable quadrupedal robot locomotion15 Jul 2023
- 2021Regularized Newton Method with Global O(1/k2) Convergence3 Dec 2021
- 2021Regret Analysis of Learning-Based MPC with Partially-Unknown Cost Function4 Aug 2021
- 2021Optimal Cost Design for Model Predictive Control23 Apr 2021
- 2021Where to go next: Learning a Subgoal Recommendation Policy for Navigation Among Pedestrians25 Feb 2021