Consecutive Chemical Reactions Models via P-Fuzzy Systems

Daniel Eduardo Sánchez, Vinícius Francisco Wasques, Estevão Esmi, Laécio Carvalho de Barros · Proceeding Series of the Brazilian Society of Computational and Applied Mathematics · 2020

In this work we propose a p-fuzzy system to describe the dynamic of a consecutive chemical reaction model, which is given by a system of differential equations. We use Mamdani’s method as a fuzzy controller based on a fuzzy rule-based system, whose fuzzy rules represent the direction field of the differential equations. Computational sim- ulations reveal that the numerical solution via p-fuzzy system is similar to those of the classical chemical reactions. Finally, we discuss the capability of the p-fuzzy approach as approximator.

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