On Atangana-Baleanu fuzzy-fractional optimal control problems

 Optimal control is a very important field of study, not only in theory but in applications, and fractional optimal control is also a significant branch of research in theory and applications. Based on the concept of fuzzy process, a fuzzy fractional optimal control problem is presented. In this art...

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Published inJournal of intelligent & fuzzy systems Vol. 43; no. 4; pp. 4061 - 4070
Main Authors Younus, Awais, Ghaffar, Iram
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 10.08.2022
Sage Publications Ltd
Subjects
Fuzzy control
Fuzzy systems
Optimal control
Optimization
Performance indices
Fuzzy-fractional derivative
34K36
90C46
93C42
generalized Hakahara differentiability
Atangana-Baleanu fuzzy-fractional derivative
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ISSN1064-1246
1875-8967
DOI10.3233/JIFS-213028

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Summary: Optimal control is a very important field of study, not only in theory but in applications, and fractional optimal control is also a significant branch of research in theory and applications. Based on the concept of fuzzy process, a fuzzy fractional optimal control problem is presented. In this article, we derived the necessary and sufficient optimality conditions for a class of fuzzy-fractional optimal control problems (FFOCPs) with gH-Atangana-Baleanu fuzzy-fractional derivative expressed in Caputo sense. The main aim is to find the best possible control that minimizes the fuzzy performance index and satisfies the related ABC fuzzy-fractional dynamical systems. We also presented some examples for more illustration of the subject.
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ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-213028