A Systematic Review and Taxonomy of Reinforcement Learning-Model Predictive Control Integration for Linear Systems

Fuente: arXiv
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Main Authors: Farimani, Mohsen Jalaeian, Amirabadi, Roya Khalili, Nikkhouy, Davoud, Abdolbaghi, Malihe, Rastegarmoghaddam, Mahshad, Samadzadeh, Shima
Format: Preprint
Published: 2026
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author Farimani, Mohsen Jalaeian
Amirabadi, Roya Khalili
Nikkhouy, Davoud
Abdolbaghi, Malihe
Rastegarmoghaddam, Mahshad
Samadzadeh, Shima
author_facet Farimani, Mohsen Jalaeian
Amirabadi, Roya Khalili
Nikkhouy, Davoud
Abdolbaghi, Malihe
Rastegarmoghaddam, Mahshad
Samadzadeh, Shima
contents The integration of Model Predictive Control (MPC) and Reinforcement Learning (RL) has emerged as a promising paradigm for constrained decision-making and adaptive control. MPC offers structured optimization, explicit constraint handling, and established stability tools, whereas RL provides data-driven adaptation and performance improvement in the presence of uncertainty and model mismatch. Despite the rapid growth of research on RL--MPC integration, the literature remains fragmented, particularly for control architectures built on linear or linearized predictive models. This paper presents a comprehensive Systematic Literature Review (SLR) of RL--MPC integrations for linear and linearized systems, covering peer-reviewed and formally indexed studies published until 2025. The reviewed studies are organized through a multi-dimensional taxonomy covering RL functional roles, RL algorithm classes, MPC formulations, cost-function structures, and application domains. In addition, a cross-dimensional synthesis is conducted to identify recurring design patterns and reported associations among these dimensions within the reviewed corpus. The review highlights methodological trends, commonly adopted integration strategies, and recurring practical challenges, including computational burden, sample efficiency, robustness, and closed-loop guarantees. The resulting synthesis provides a structured reference for researchers and practitioners seeking to design or analyze RL--MPC architectures based on linear or linearized predictive control formulations.
format Preprint
id arxiv_https___arxiv_org_abs_2604_21030
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Systematic Review and Taxonomy of Reinforcement Learning-Model Predictive Control Integration for Linear Systems
Farimani, Mohsen Jalaeian
Amirabadi, Roya Khalili
Nikkhouy, Davoud
Abdolbaghi, Malihe
Rastegarmoghaddam, Mahshad
Samadzadeh, Shima
Systems and Control
Artificial Intelligence
Robotics
Optimization and Control
93B45, 68T01, 93C05, 93C85, 93C95, 93D99,
B.1.1; B.1.2; B.1.3; I.2.1; I.2.6; I.2.8; I.2.9; I.2.11
The integration of Model Predictive Control (MPC) and Reinforcement Learning (RL) has emerged as a promising paradigm for constrained decision-making and adaptive control. MPC offers structured optimization, explicit constraint handling, and established stability tools, whereas RL provides data-driven adaptation and performance improvement in the presence of uncertainty and model mismatch. Despite the rapid growth of research on RL--MPC integration, the literature remains fragmented, particularly for control architectures built on linear or linearized predictive models. This paper presents a comprehensive Systematic Literature Review (SLR) of RL--MPC integrations for linear and linearized systems, covering peer-reviewed and formally indexed studies published until 2025. The reviewed studies are organized through a multi-dimensional taxonomy covering RL functional roles, RL algorithm classes, MPC formulations, cost-function structures, and application domains. In addition, a cross-dimensional synthesis is conducted to identify recurring design patterns and reported associations among these dimensions within the reviewed corpus. The review highlights methodological trends, commonly adopted integration strategies, and recurring practical challenges, including computational burden, sample efficiency, robustness, and closed-loop guarantees. The resulting synthesis provides a structured reference for researchers and practitioners seeking to design or analyze RL--MPC architectures based on linear or linearized predictive control formulations.
title A Systematic Review and Taxonomy of Reinforcement Learning-Model Predictive Control Integration for Linear Systems
topic Systems and Control
Artificial Intelligence
Robotics
Optimization and Control
93B45, 68T01, 93C05, 93C85, 93C95, 93D99,
B.1.1; B.1.2; B.1.3; I.2.1; I.2.6; I.2.8; I.2.9; I.2.11
url https://arxiv.org/abs/2604.21030