Chaos in Control Systems: A Review of Suppression and Induction Strategies with Industrial Applications

In control systems, chaos is a natural dualistic phenomenon that can be both a beneficial resource to be used and a negative phenomenon to be avoided. The study examines two opposing paradigms: positive chaotic control, which aims to enhance performance, and negative chaos management, which aims to stabilize a system. More sophisticated suppression methods, including adaptive neural networks, sliding mode control, and model predictive control, can decrease convergence times. Controlled chaotic dynamics have significantly impacted the domain of embedded control systems. Specialized controller designs include fractal-based systems and hybrid switching systems that offer better control of chaotic behavior in many situations. The paper highlights the key issues that are related to chaos-based systems, such as the need to implement them in real time, parameter sensitivity, and safety. Recent research suggests an increased interdependence between artificial intelligence, quantum computing, and sustainable technology. The synthesis shows that chaos control has evolved into an engineering field, significantly impacting the industry, which was initially a theoretical concept. It also offers exclusive ideas in the design and improvement of complex control systems.

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Publication Details

Journal
Mathematics
Published
2025-12-17
DOI
https://doi.org/10.3390/math13244015
Primary Topic
Chaos control and synchronization
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
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article

Chaos in Control Systems: A Review of Suppression and Induction Strategies with Industrial Applications

Mathematics
Chaos control and synchronization
article

Chaos in Control Systems: A Review of Suppression and Induction Strategies with Industrial Applications

article en

Abstract

In control systems, chaos is a natural dualistic phenomenon that can be both a beneficial resource to be used and a negative phenomenon to be avoided. The study examines two opposing paradigms: positive chaotic control, which aims to enhance performance, and negative chaos management, which aims to stabilize a system. More sophisticated suppression methods, including adaptive neural networks, sliding mode control, and model predictive control, can decrease convergence times. Controlled chaotic dynamics have significantly impacted the domain of embedded control systems. Specialized controller designs include fractal-based systems and hybrid switching systems that offer better control of chaotic behavior in many situations. The paper highlights the key issues that are related to chaos-based systems, such as the need to implement them in real time, parameter sensitivity, and safety. Recent research suggests an increased interdependence between artificial intelligence, quantum computing, and sustainable technology. The synthesis shows that chaos control has evolved into an engineering field, significantly impacting the industry, which was initially a theoretical concept. It also offers exclusive ideas in the design and improvement of complex control systems.

MathematicsVol. 13(24)
Saint Petersburg State Electrotechnical University (RU)
Russian Science Foundation
Industry, innovation and infrastructure
Openalex Percentile: Top 34%
Chaos control and synchronization
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