Optimal charging of fractional-order circuits with Cuckoo search

AbdelAty, Amr M.; Fouda, Mohammed E.; Elbarawy, Menna T. M. M.; Radwan, Ahmed G.

doi:10.1016/j.jare.2020.11.014

Cited by 5 publications

(1 citation statement)

References 72 publications

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“…L denotes the number of log-spaced sample points in the bandwidth [ω min , ω max ] rad/s; and the dimension (D) of the problem is 2N + 1. The application of metaheuristics for the optimal approximation of FO filters and systems has shown promising performances [30].…”

Section: Proposed Techniquementioning

confidence: 99%

Further Generalization and Approximation of Fractional-Order Filters and Their Inverse Functions of the Second-Order Limiting Form

Mahata¹,

Herencsár

Kubánek

2022

Fractal Fract

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This paper proposes a further generalization of the fractional-order filters whose limiting form is that of the second-order filter. This new filter class can also be regarded as a superset of the recently reported power-law filters. An optimal approach incorporating constraints that restricts the real part of the roots of the numerator and denominator polynomials of the proposed rational approximant to negative values is formulated. Consequently, stable inverse filter characteristics can also be achieved using the suggested method. Accuracy of the proposed low-pass, high-pass, band-pass, and band-stop filters for various combinations of design parameters is evaluated using the absolute relative magnitude/phase error metrics. Current feedback operational amplifier-based circuit simulations validate the efficacy of the four types of designed filters and their inverse functions. Experimental results for the frequency and time-domain performances of the proposed fractional-order band-pass filter and its inverse counterpart are also presented.

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Section: Proposed Techniquementioning

confidence: 99%