Survey on designing Fractional-order Filters: Metaherustic approach

Amin, Andrew Amgad; Albarawy, Mennatullah Mahmoud; Mabrouk, Amr

doi:10.21608/fuje.2023.177757.1032

Survey on designing Fractional-order Filters: Metaherustic approach

Document Type : Review article

Authors

¹ Engineering Mathematics and Physics Dept., Faculty of Engineering, Fayoum University, Egypt

² Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University

³ Engineering Mathematics and Physics, Fayoum University, Egypt.

10.21608/fuje.2023.177757.1032

Abstract

International scholars have recently demonstrated significant interest in fractional order filters (FOF) due to their greater design freedom and continuously stepped stop-band attenuation rate. This paper introduces a literature review on designing a frac-tional order filter based on the metaheuristic approach, which provides an optimum design technique and less passband and stopband error. The nonlinear, non-uniform, multidimensional, and multimodal FOF design issue error landscape is heavily ex-ploited by the metaheuristic global search method.
The algorithm's optimal coefficient values, which closely approximate the magnitude response of the ideal FOF, are reached at the completion of its repeated search routine.
The robustness and the capability of this tool to solve multimodal systems have been verified throughout a study example that approximates the magnitude response to fully fractional prototype functions. The error at the stable output is bounded to be less than 2% within a few iterations, and the approximation is achieved over the whole frequency band.

Keywords