English

MPC-Inspired Reinforcement Learning for Verifiable Model-Free Control

Systems and Control 2024-04-10 v5 Machine Learning Robotics Systems and Control Optimization and Control

Abstract

In this paper, we introduce a new class of parameterized controllers, drawing inspiration from Model Predictive Control (MPC). The controller resembles a Quadratic Programming (QP) solver of a linear MPC problem, with the parameters of the controller being trained via Deep Reinforcement Learning (DRL) rather than derived from system models. This approach addresses the limitations of common controllers with Multi-Layer Perceptron (MLP) or other general neural network architecture used in DRL, in terms of verifiability and performance guarantees, and the learned controllers possess verifiable properties like persistent feasibility and asymptotic stability akin to MPC. On the other hand, numerical examples illustrate that the proposed controller empirically matches MPC and MLP controllers in terms of control performance and has superior robustness against modeling uncertainty and noises. Furthermore, the proposed controller is significantly more computationally efficient compared to MPC and requires fewer parameters to learn than MLP controllers. Real-world experiments on vehicle drift maneuvering task demonstrate the potential of these controllers for robotics and other demanding control tasks.

Keywords

Cite

@article{arxiv.2312.05332,
  title  = {MPC-Inspired Reinforcement Learning for Verifiable Model-Free Control},
  author = {Yiwen Lu and Zishuo Li and Yihan Zhou and Na Li and Yilin Mo},
  journal= {arXiv preprint arXiv:2312.05332},
  year   = {2024}
}
R2 v1 2026-06-28T13:45:31.777Z