History and progress of fractional-order element passive emulators: A review

A Kartci, N Herencsar, JT Machado, L Brancik - 2020 - repository.kaust.edu.sa
This paper presents a state-of-the-art survey in the area of fractional-order element passive
emulators adopted in circuits and systems. An overview of the different approximations used …

Robust H∞ adaptive sliding mode fault tolerant control for TS fuzzy fractional order systems with mismatched disturbances

X Zhang, W Huang, QG Wang - IEEE Transactions on Circuits …, 2020 - ieeexplore.ieee.org
This paper deals with the H∞ adaptive sliding mode fault tolerant control problem for
uncertain Takagi-Sugeno (TS) fuzzy fractional order systems (FOSs) of fractional order 0<; …

Practical realization of tunable fractional order parallel resonator and fractional order filters

A Adhikary, S Sen, K Biswas - IEEE Transactions on Circuits …, 2016 - ieeexplore.ieee.org
This paper introduces a tunable fractional order parallel resonator (FOPR) whose resonating
frequency can be tuned by the coefficient of a fractional order (FO) element (fractor). At the …

A modeling and analysis method for fractional-order DC–DC converters

X Chen, Y Chen, B Zhang, D Qiu - IEEE Transactions on Power …, 2016 - ieeexplore.ieee.org
This paper proposes a modeling and analysis method for fractional-order dc-dc converters
operating in continuous conduction mode (CCM). As an example, a fractional-order boost …

Nonlinear fractional-order circuits and systems: Motivation, a brief overview, and some future directions

MS Tavazoei, M Tavakoli-Kakhki… - IEEE Open Journal of …, 2020 - ieeexplore.ieee.org
In recent years, fractional-order differential operators, and the dynamic models constructed
based on these generalized operators have been widely considered in design and practical …

Experimental study of fractional-order RC circuit model using the Caputo and Caputo-Fabrizio derivatives

D Lin, X Liao, L Dong, R Yang… - … on Circuits and …, 2021 - ieeexplore.ieee.org
This study employs the Caputo-Fabrizio fractional derivative to determine the model of
fractional-order RC circuits with arbitrary voltage input which can be widely used in a variety …

Realization of foster structure-based ladder fractor with phase band specification

A Adhikary, A Shil, K Biswas - Circuits, Systems, and Signal Processing, 2020 - Springer
This paper presents Foster I and Foster II realizations of fractors using RC ladders while
meeting five different specifications together, ie, exponent, coefficients, upper and lower …

A capable numerical meshless scheme for solving distributed order time-fractional reaction–diffusion equation

A Habibirad, H Azin, E Hesameddini - Chaos, Solitons & Fractals, 2023 - Elsevier
Distributed order fractional differential equations are efficient in describing physical
phenomena because of the differential order distribution. In this paper, the distributed order …

Passive realization of fractional-order impedances by a fractional element and RLC components: Conditions and procedure

MS Sarafraz, MS Tavazoei - … on Circuits and Systems I: Regular …, 2016 - ieeexplore.ieee.org
In this paper, conditions for checking the realizability of fractional-order impedance functions
by passive networks composed of a fractional element (either a fractional capacitor or a …

Generalized two-port network based fractional order filters

NA Khalil, LA Said, AG Radwan, AM Soliman - AEU-International Journal of …, 2019 - Elsevier
This paper proposes a general prototype fractional order filter based on a two-port network
concept with four external impedances. Three induced classifications from the general …