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The goal of this paper is to make a strong point for the usage of dynamical models when using reinforcement learning (RL) for feedback control of dynamical systems governed by partial differential equations (PDEs). To breach the gap between…

Machine Learning · Computer Science 2023-03-14 Stefan Werner , Sebastian Peitz

In many scientific fields, the generation and evolution of data are governed by partial differential equations (PDEs) which are typically informed by established physical laws at the macroscopic level to describe general and predictable…

Methodology · Statistics 2025-07-01 Ziyuan Chen , Shunxing Yan , Fang Yao

Recently, deep reinforcement learning (DRL)-based approach has shown promisein solving complex decision and control problems in power engineering domain.In this paper, we present an in-depth analysis of DRL-based voltage control fromaspects…

Artificial Intelligence · Computer Science 2020-12-25 Xiren Zhou , Siqi Wang , Ruisheng Diao , Desong Bian , Jiahui Duan , Di Shi

The goal of many applications in energy and transport sectors is to control turbulent flows. However, because of chaotic dynamics and high dimensionality, the control of turbulent flows is exceedingly difficult. Model-free reinforcement…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Defne E. Ozan , Andrea Nóvoa , Luca Magri

Complex mechanical systems such as vehicle powertrains are inherently subject to multiple nonlinearities and uncertainties arising from parametric variations. Modeling errors are therefore unavoidable, making the transfer of control systems…

Systems and Control · Electrical Eng. & Systems 2026-02-13 Heisei Yonezawa , Ansei Yonezawa , Itsuro Kajiwara

Deep reinforcement learning (DRL) has been applied to a variety of problems during the past decade, and has provided effective control strategies in high-dimensional and non-linear situations that are challenging to traditional methods.…

Fluid Dynamics · Physics 2023-04-07 Colin Vignon , Jean Rabault , Ricardo Vinuesa

We introduce a deep reinforcement learning (DRL) approach for solving management problems including inventory management, dynamic pricing, and recommendation. This DRL approach has the potential to lead to a large management model based on…

Artificial Intelligence · Computer Science 2024-03-04 Jinyang Jiang , Xiaotian Liu , Tao Ren , Qinghao Wang , Yi Zheng , Yufu Du , Yijie Peng , Cheng Zhang

Although deep reinforcement learning (DRL) algorithms have made important achievements in many control tasks, they still suffer from the problems of sample inefficiency and unstable training process, which are usually caused by sparse…

Robotics · Computer Science 2020-02-28 Ke Lin , Liang Gong , Xudong Li , Te Sun , Binhao Chen , Chengliang Liu , Zhengfeng Zhang , Jian Pu , Junping Zhang

Reinforcement learning (RL) has emerged as a potent paradigm for autonomous decision-making in complex environments. However, the integration of event-driven decision processes within RL remains a challenge. This paper presents a novel…

Systems and Control · Electrical Eng. & Systems 2025-05-22 Md Nur-A-Adam Dony

Deep reinforcement learning (DRL) has seen several successful applications to process control. Common methods rely on a deep neural network structure to model the controller or process. With increasingly complicated control structures, the…

Deep reinforcement learning (DRL) has recently emerged as a promising approach to solve combinatorial optimization problems such as job shop scheduling. However, the policies learned by DRL are typically represented by deep neural networks…

Machine Learning · Computer Science 2026-05-19 Chengpeng Hu , Yingqian Zhang , Hendrik Baier

Flow control is key to maximize energy efficiency in a wide range of applications. However, traditional flow-control methods face significant challenges in addressing non-linear systems and high-dimensional data, limiting their application…

Machine Learning · Computer Science 2024-10-28 Joongoo Jeon , Jean Rabault , Joel Vasanth , Francisco Alcántara-Ávila , Shilaj Baral , Ricardo Vinuesa

Modeling sequential patterns from data is at the core of various time series forecasting tasks. Deep learning models have greatly outperformed many traditional models, but these black-box models generally lack explainability in prediction…

Machine Learning · Computer Science 2023-05-23 Yingtao Luo , Chang Xu , Yang Liu , Weiqing Liu , Shun Zheng , Jiang Bian

Rule-based models, e.g., decision trees, are widely used in scenarios demanding high model interpretability for their transparent inner structures and good model expressivity. However, rule-based models are hard to optimize, especially on…

Machine Learning · Computer Science 2024-01-31 Zhuo Wang , Wei Zhang , Ning Liu , Jianyong Wang

The integration of distributed energy resources (DER) has escalated the challenge of voltage magnitude regulation in distribution networks. Traditional model-based approaches, which rely on complex sequential mathematical formulations,…

Systems and Control · Electrical Eng. & Systems 2024-11-05 Shengren Hou , Peter Palensky , Pedro P. Vergara

In response to the trade-off between control performance and computational burden hindering the deployment of Deep Reinforcement Learning (DRL) in power inverters, this paper presents a novel model-free control framework leveraging policy…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Yang Yang , Chenggang Cui , Xitong Niu , Jiaming Liu , Chuanlin Zhang

This paper presents a novel hierarchical deep reinforcement learning (DRL) based design for the voltage control of power grids. DRL agents are trained for fast, and adaptive selection of control actions such that the voltage recovery…

Systems and Control · Electrical Eng. & Systems 2021-02-02 Sayak Mukherjee , Renke Huang , Qiuhua Huang , Thanh Long Vu , Tianzhixi Yin

In this paper, we study the use of robust model independent bounded extremum seeking (ES) feedback control to improve the robustness of deep reinforcement learning (DRL) controllers for a class of nonlinear time-varying systems. DRL has the…

Machine Learning · Computer Science 2026-03-11 Shaifalee Saxena , Alan Williams , Rafael Fierro , Alexander Scheinker

Partial differential equations (PDEs) play a crucial role in studying a vast number of problems in science and engineering. Numerically solving nonlinear and/or high-dimensional PDEs is often a challenging task. Inspired by the traditional…

Numerical Analysis · Mathematics 2022-01-11 Yihao Hu , Tong Zhao , Shixin Xu , Zhiliang Xu , Lizhen Lin

A residual deep reinforcement learning (RDRL) approach is proposed by integrating DRL with model-based optimization for inverter-based volt-var control in active distribution networks when the accurate power flow model is unknown. RDRL…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Qiong Liu , Ye Guo , Lirong Deng , Haotian Liu , Dongyu Li , Hongbin Sun