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Solving variable-order fractional delay differential algebraic equations via fuzzy systems with application in delay optimal control problems

Document Type : Research Paper

Authors

1 Shahrood

2 University of Shahrood

3 Shahrood University of Technology

Abstract

In this paper, a new approach based on fuzzy systems is used for solving variable-order fractional delay differential
algebraic equations. The fractional derivatives are considered in the Atangana-Baleanu sense that is a new derivative
with the non-singular and non-local kernel. By relying on the ability of fuzzy systems in function approximation,
the fuzzy solutions of variables are substituted in variable-order fractional delay differential algebraic equations. The
obtained algebraic equations system is then transformed into an error function minimization problem. A learning
algorithm is used to achieve the adjustable parameters of fuzzy solutions. It is shown that the variable-order fractional
delay optimal control problems can be reformulated as variable-order fractional delay differential algebraic equations
and solved by the proposed method. The efficiency and accuracy of the presented approach are assessed through some
illustrative examples of the variable-order fractional delay differential algebraic equations

Keywords

Main Subjects

References
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Iranian Journal of Fuzzy Systems
Volume 21, Issue 2
March and April 2024
Pages 67-85
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