Approximations of higher-order fractional differentiators and integrators using indirect discretization

R Yadav, M Gupta - Turkish Journal of Electrical Engineering …, 2015 - journals.tubitak.gov.tr
This paper describes new approximations of fractional order integrators (FOIs) and fractional
order differentiators (FODs) by using a continued fraction expansion-based indirect …

New improved fractional order differentiator models based on optimized digital differentiators

M Gupta, R Yadav - The Scientific World Journal, 2014 - Wiley Online Library
Different evolutionary algorithms (EAs), namely, particle swarm optimization (PSO), genetic
algorithm (GA), and PSO‐GA hybrid optimization, have been used to optimize digital …

Improved Digital Rational Approximation of the Operator Using Second-Order s-to-z Transform and Signal Modeling

F Leulmi, Y Ferdi - Circuits, Systems, and Signal Processing, 2015 - Springer
In this paper, an improved stable digital rational approximation of the fractional-order
operator s^ α, α ∈\, R s α, α∈ R is developed. First, a novel efficient second-order digital …

[PDF][PDF] Design of improved fractional order integrators using indirect discretization method

M Gupta, R Yadav - International Journal of Computer Applications, 2012 - academia.edu
This paper has adopted rational approximation based on Regular Newton method, for
frequency domain fitting of transfer functions of fractional order integrators (FOIs). Further …

An improvement of the rational approximation of the fractional operatorsα

F Leulmi, Y Ferdi - 2011 Saudi International Electronics …, 2011 - ieeexplore.ieee.org
In this paper we propose an improvement of the rational approximation of continuous
fractional order differentiators and integrators of types α obtained using direct discretization …

Design of fractional order integrators and differentiators using novel rational approximations

R Yadav, M Gupta - International Journal of Circuits and …, 2014 - inderscienceonline.com
This paper contributes a relatively broader realm of new improved rational approximations
based on Halley's iterative method incorporating different orders of one-half, one-third and …

Implementation of first and third order fractional order differentiators and integrators using switched capacitors

P Varshney, M Gupta… - … Conference on Power …, 2011 - ieeexplore.ieee.org
This paper proposes first-order and third-order Switched Capacitor realizations of fractional
order differentiators and integrators. First, the s-to-z transformation is expanded for fractional …

Direct Approach for Modelling a Class of Fractional-Order System Using Two Generating Functions

W Sungoh, J Swarnakar - International Conference on Communication …, 2024 - Springer
In this paper, two second-order generating functions have been suggested to model a class
of fractional-order system (FOS) in z domain using direct discretization method. The …

[PDF][PDF] Research Article New Improved Fractional Order Differentiator Models Based on Optimized Digital Differentiators

M Gupta, R Yadav - academia.edu
Different evolutionary algorithms (EAs), namely, particle swarm optimization (PSO), genetic
algorithm (GA), and PSO-GA hybrid optimization, have been used to optimize digital …

[ALINTI][C] Kesirli dereceli kontrol sistemlerinin dayanıklı analiz ve tasarımı

MM Özyetkin - 2013 - Fen Bilimleri Enstitüsü