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Stability is a basic requirement when studying the behavior of dynamical systems. However, stabilizing dynamical systems via reinforcement learning is challenging because only little data can be collected over short time horizons before…

Optimization and Control · Mathematics 2024-11-01 Steffen W. R. Werner , Benjamin Peherstorfer

This paper proposes a robust control design method using reinforcement-learning for controlling partially-unknown dynamical systems under uncertain conditions. The method extends the optimal reinforcement-learning algorithm with a new…

Systems and Control · Electrical Eng. & Systems 2020-04-17 Phuong D. Ngo , Fred Godtliebsen

Modulation instability is a phenomenon of spontaneous pattern formation in nonlinear media, oftentimes leading to an unpredictable behaviour and a degradation of a signal of interest. We propose an approach based on reinforcement learning…

Pattern Formation and Solitons · Physics 2024-07-24 Nikolay Kalmykov , Rishat Zagidullin , Oleg Rogov , Sergey Rykovanov , Dmitry V. Dylov

This study presents novel drag reduction active-flow-control (AFC) strategies} for a three-dimensional cylinder immersed in a flow at a Reynolds number based on freestream velocity and cylinder diameter of $Re_D=3900$. The cylinder in this…

Fluid Dynamics · Physics 2025-02-20 P. Suárez , F. Álcantara-Ávila , A. Miró , J. Rabault , B. Font , O. Lehmkuhl , R. Vinuesa

Voltage stability in modern power systems involves coupled dynamics across multiple time scales. Conventional methods based on time-scale separation or static stability margins may overlook instabilities caused by the coupling of slow and…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Naoki Hashima , Hikaru Hoshino , Luis David Pabón Ospina , Eiko Furutani

This study presents the first experimental implementation of deep reinforcement learning (DRL) for the active real-time suppression of flow-induced vibrations in simultaneously vibrating tandem cylinders using rotary actuation, considering…

Fluid Dynamics · Physics 2026-05-21 Hussam Sababha , Mohammed Daqaq

The real power of artificial intelligence appears in reinforcement learning, which is computationally and physically more sophisticated due to its dynamic nature. Rotation and injection are some of the proven ways in active flow control for…

Fluid Dynamics · Physics 2024-01-02 Kamyar Dobakhti , Jafar Ghazanfarian

We propose a simple, practical and intuitive approach to improve the performance of a conventional controller in uncertain environments using deep reinforcement learning while maintaining safe operation. Our approach is motivated by the…

Systems and Control · Electrical Eng. & Systems 2021-10-07 Tom Staessens , Tom Lefebvre , Guillaume Crevecoeur

Resin infusion (RI) and resin transfer moulding (RTM) are critical processes for the manufacturing of high-performance fibre-reinforced polymer composites, particularly for large-scale applications such as wind turbine blades. Controlling…

This paper is a study of reinforcement learning (RL) as an optimal-control strategy for control of nonlinear valves. It is evaluated against the PID (proportional-integral-derivative) strategy, using a unified framework. RL is an autonomous…

Machine Learning · Computer Science 2021-02-05 Rajesh Siraskar

This paper presents a novel approach to reinforcement learning (RL) for control systems that provides probabilistic stability guarantees using finite data. Leveraging Lyapunov's method, we propose a probabilistic stability theorem that…

Machine Learning · Computer Science 2026-03-03 Minghao Han , Lixian Zhang , Chenliang Liu , Zhipeng Zhou , Jun Wang , Wei Pan

Cohen et al. (arXiv:2207.14484) observed that adaptive gradient methods such as Adam operate at the edge of stability. While there has been significant work on continuous-time modeling of gradient descent at the edge of stability, extending…

Machine Learning · Computer Science 2026-05-11 Eric Regis , Sinho Chewi

This research gauges the ability of deep reinforcement learning (DRL) techniques to assist the optimization and control of fluid mechanical systems. It combines a novel, "degenerate" version of the proximal policy optimization (PPO)…

Optimization and Control · Mathematics 2021-05-19 H. Ghraieb , J. Viquerat , A. Larcher , P. Meliga , E. Hachem

The range and speed of direct ink writing, the workhorse of 3d and 4d printing, is limited by the practice of liquid extrusion from a nozzle just above the surface to prevent instabilities to cause deviations from the required print path.…

Fluid Dynamics · Physics 2023-02-14 Gaurav Chaudhary , Stephanie Christ , A John Hart , L Mahadevan

Safe reinforcement learning (RL) aims to learn policies that satisfy certain constraints before deploying them to safety-critical applications. Previous primal-dual style approaches suffer from instability issues and lack optimality…

Machine Learning · Computer Science 2022-06-20 Zuxin Liu , Zhepeng Cen , Vladislav Isenbaev , Wei Liu , Zhiwei Steven Wu , Bo Li , Ding Zhao

Active flow control remains a significant challenge due to the high-dimensional, nonlinear nature of fluid dynamics. Quantum machine learning may prove effective in addressing these issues, given that quantum computing possesses superiority…

Fluid Dynamics · Physics 2026-01-27 Hongfu Zhang , Hui Tang

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

There has recently been an increased interest in reinforcement learning for nonlinear control problems. However standard reinforcement learning algorithms can often struggle even on seemingly simple set-point control problems. This paper…

Systems and Control · Electrical Eng. & Systems 2023-04-21 Ruoqi Zhang , Per Mattsson , Torbjörn Wigren

In recent years, Artificial Neural Networks (ANNs) and Deep Learning have become increasingly popular across a wide range of scientific and technical fields, including Fluid Mechanics. While it will take time to fully grasp the…

Fluid Dynamics · Physics 2020-01-09 Jean Rabault , Feng Ren , Wei Zhang , Hui Tang , Hui Xu

Instabilities arise in a number of flow configurations. One such manifestation is the development of interfacial waves in multiphase flows, such as those observed in the falling liquid film problem. Controlling the development of such…

Fluid Dynamics · Physics 2019-10-18 Vincent Belus , Jean Rabault , Jonathan Viquerat , Zhizhao Che , Elie Hachem , Ulysse Reglade