Suppression of chaos in a multicomponent chemical reaction via Optimal Linear Control

In this study, we address the problem of controlling chaotic behavior in chemical reactions involving four components occurring in a continuously stirred tank reactor. The controller developed in this study is based on the theory of optimal linear control, proposing a function to maximize the chemical reaction rate and suppress the chaotic behavior in the system. The numerical experiments performed demonstrated the ability to stabilize the chaotic behavior of the chemical reactions in this four-variable system. The chaotic oscillatory motion of the mass concentrations in the multicomponent system was driven towards a stable point. The control technique proved to be efficient for this problem and has the potential for application in chemical reactions involving multiple components.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-02-12
DOI
https://doi.org/10.5269/bspm.68888
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
article
Field-Weighted Citation Impact
0.00

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article

Suppression of chaos in a multicomponent chemical reaction via Optimal Linear Control

Fábio Roberto Chavarette, Henrique Antônio Mendonça Faria
Boletim da Sociedade Paranaense de Matemática
Nonlinear Dynamics and Pattern Formation
article

Suppression of chaos in a multicomponent chemical reaction via Optimal Linear Control

Fábio Roberto Chavarette, Henrique Antônio Mendonça Faria
article en

Abstract

In this study, we address the problem of controlling chaotic behavior in chemical reactions involving four components occurring in a continuously stirred tank reactor. The controller developed in this study is based on the theory of optimal linear control, proposing a function to maximize the chemical reaction rate and suppress the chaotic behavior in the system. The numerical experiments performed demonstrated the ability to stabilize the chaotic behavior of the chemical reactions in this four-variable system. The chaotic oscillatory motion of the mass concentrations in the multicomponent system was driven towards a stable point. The control technique proved to be efficient for this problem and has the potential for application in chemical reactions involving multiple components.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Universidade Estadual Paulista (Unesp) (BR)
Fundação de Amparo à Pesquisa do Estado de São Paulo, Conselho Nacional de Desenvolvimento Científico e Tecnológico
Openalex Percentile: Top 89%
Nonlinear Dynamics and Pattern Formation
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Suppression of chaos in a multicomponent chemical reaction via Optimal Linear Control — Fábio Roberto Chavarette, Henrique Antônio Mendonça Faria · Boletim da Sociedade Paranaense de Matemática (2025) | TGRS Research Map | TGRS