Reinforcement learning of chaotic systems control in partially observable environments
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Published version
Author(s)
Weissenbacher, Max
Borovykh, Anastasia
Rigas, Georgios
Type
Journal Article
Abstract
Control of chaotic systems has far-reaching implications in engineering, including fluid-based energy and transport systems, among many other fields. In real-world applications, control algorithms typically operate only with partial information about the system (partial observability) due to limited sensing, which leads to sub-optimal performance when compared to the case where a controller has access to the full system state (full observability). While it is well-known that the effect of partial observability can be mediated by introducing a memory component, which allows the controller to keep track of the system’s partial state history, the effect of the type of memory on performance in chaotic regimes is poorly understood. In this study we investigate the use of reinforcement learning for controlling chaotic flows using only partial observations. We use the chaotic Kuramoto–Sivashinsky equation with a forcing term as a model system. In contrast to previous studies, we consider the flow in a variety of dynamic regimes, ranging from mildly to strongly chaotic. We evaluate the loss of performance as the number of sensors available to the controller decreases. We then compare two different frameworks to incorporate memory into the controller, one based on recurrent neural networks and another novel mechanism based on transformers. We demonstrate that the attention-based framework robustly outperforms the alternatives in a range of dynamic regimes. In particular, our method yields improved control in highly chaotic environments, suggesting that attention-based mechanisms may be better suited to the control of chaotic systems.
Date Issued
2025-09-01
Date Acceptance
2024-12-17
Citation
Flow, Turbulence and Combustion, 2025, 115, pp.1357-1378
ISSN
1386-6184
Publisher
Springer
Start Page
1357
End Page
1378
Journal / Book Title
Flow, Turbulence and Combustion
Volume
115
Copyright Statement
© The Author(s) 2025 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
License URL
Identifier
10.1007/s10494-024-00632-5
Subjects
Reinforcement learning
Active flow control
Chaos
Optimal control
Publication Status
Published
Date Publish Online
2025-01-09