On the design flow of the fractional-order analog filters between FPAA implementation and circuit realization

AM Hassanein, AH Madian, AGG Radwan… - IEEE Access, 2023 - ieeexplore.ieee.org
This work explicitly states the design flows of the fractional-order analog filters used by
researchers throughout the literature. Two main flows are studied: the FPAA implementation …

Analog modeling of fractional-order elements: A classical circuit theory approach

N Mijat, D Jurisic, GS Moschytz - IEEE access, 2021 - ieeexplore.ieee.org
In this paper a comprehensive procedure for the analog modeling of Fractional-Order
Elements (FOEs) is presented. Unlike most already proposed techniques, a standard …

Numerical study for the fractional RL, RC, and RLC electrical circuits using Legendre pseudo‐spectral method

MM Khader, JF Gómez‐Aguilar… - International Journal of …, 2021 - Wiley Online Library
In the presented work, we present an accurate procedure, which is the spectral method, to
find a solution to a certain class of the very important fractional (described by the Liouville …

A study on fractional power-law applications and approximations

S Emad, AM Hassanein, AM AbdelAty, AH Madian… - Electronics, 2024 - mdpi.com
The frequency response of the fractional-order power-law filter can be approximated by
different techniques, which eventually affect the expected performance. Fractional-order …

Double exponent fractional-order filters: Approximation methods and realization

S Kapoulea, C Psychalinos, AS Elwakil - Circuits, Systems, and Signal …, 2021 - Springer
The main goal of this work is to exploit different tools in order to approximate a general
double exponent fractional-order transfer function. Through the appropriate selection of the …

Fractional-order and power-law shelving filters: Analysis and design examples

S Kapoulea, A Yesil, C Psychalinos, S Minaei… - Ieee …, 2021 - ieeexplore.ieee.org
Low-pass and high-pass non-integer order shelving filter designs, which are suitable for
acoustic applications, are presented in this work. A first design is based on a standard …

Deviation analysis in transient response of fractional-order systems: An elementary function-based lower bound

N Sepasian, MS Tavazoei - Journal of Vibration and Control, 2024 - journals.sagepub.com
In this paper, transient response of commensurate fractional-order systems with non-zero
initial conditions is investigated in the viewpoint of the existence of deviation from initial …

Realizations of fractional-order PID loop-sha** controller for mechatronic applications

S Kapoulea, C Psychalinos, AS Elwakil… - Integration, 2021 - Elsevier
A novel procedure for the realization of a fractional-order PID loop-sha** controller,
suitable for precision control of mechatronic systems, is introduced in this work. Exploiting …

Passive approximations of double‐exponent fractional‐order impedance functions

S Kapoulea, C Psychalinos… - International Journal of …, 2021 - Wiley Online Library
Double‐exponent fractional‐order impedance functions are important for modeling a wide
range of biochemical materials and biological tissues. Through appropriate selection of the …

An analytical approach to the stability conditions of a new class of fractional-order control systems by the Lambert-Tsallis function

IR Sousa, KZ Nóbrega, GA Barreto - IEEE Access, 2024 - ieeexplore.ieee.org
This paper introduces a novel framework for the stability analysis of fractional-order control
systems with closed-loop characteristic equations in the form of any trinomial given by, with …