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On Systematic Design of Fractional-Order Element Series [PDF]

open access: yesSensors, 2021
In this paper a concept for the efficient design of a series of floating fractional-order elements (FOEs) is proposed. Using even single or a very limited number of so-called “seed” FOEs it is possible to obtain a wide set of new FOEs featuring ...
Jaroslav Koton   +3 more
doaj   +6 more sources

History and Progress of Fractional-Order Element Passive Emulators: A Review [PDF]

open access: yesRadioengineering, 2020
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 to estimate the passive element values by means of rational ...
A. Kartci   +3 more
doaj   +6 more sources

Hermite Finite Element Method for Time Fractional Order Damping Beam Vibration Problem

open access: yesFractal and Fractional, 2023
In this paper, the vibration problem of a beam with a time fractional damping term is studied by the Hermite finite element method, and its fully discrete scheme is obtained.
Xinxin Sun   +3 more
doaj   +3 more sources

Performance study of fractional order integrator using single-component fractional order element

open access: yesIET Circuits, Devices and Systems, 2011
A single-component fractional order element (FOE) is realised and its performance is compared with the conventional FOEs such as cross resistance-capacitance (RC) ladder network and domino ladder network in the analogue domain. The single-component FOE is a capacitive-type probe coated with a porous film of poly-methyl-methacrylate (PMMA) and is dipped
Karabi Biswas
exaly   +2 more sources

Design, synthesis and simulation of fractional-order element using MOS transistors as distributed resistive capacitive devices [PDF]

open access: yesScientific Reports
The article presents a synthesis method to design electrical circuit elements with fractional-order impedance, referred to as a Fractional-Order Element (FOE) or Fractor, that can be implemented by Metal–Oxide–Semiconductor (MOS) transistors.
David Kubanek   +8 more
doaj   +2 more sources

Selectable Fractional-order Controller for Industrial Control Designs [PDF]

open access: yesE3S Web of Conferences, 2023
Differential Equation (DE) of fractional-order specifically gives clear view of fractional-order systems. Since genuine processes are typically or most anticipated to be fractional, employing fractional-order’s concept might be results to take us closer ...
Walia Mandeep Singh   +2 more
doaj   +1 more source

Fractional-order single state reset element [PDF]

open access: yesNonlinear Dynamics, 2021
AbstractThis paper proposes a fractional-order reset element whose architecture allows for the suppression of nonlinear effects for a range of frequencies. Suppressing the nonlinear effects of a reset element for the desired frequency range while maintaining it for the rest is beneficial, especially when it is used in the framework of a “Constant in ...
Nima Karbasizadeh   +2 more
openaire   +4 more sources

Generalization of Reset Controllers to Fractional Orders

open access: yesMathematics, 2022
Reset control is a simple non-linear control technique that can help overcome the structural limitations of linear control. Fractional control uses the concept of fractional derivatives to expand the range of possibilities when modeling a controller ...
Henrique Paz, Duarte Valério
doaj   +1 more source

Analog Modeling of Fractional-Order Elements: A Classical Circuit Theory Approach

open access: yesIEEE Access, 2021
In this paper a comprehensive procedure for the analog modeling of Fractional-Order Elements (FOEs) is presented. Unlike most already proposed techniques, a standard approach from classical circuit theory is applied.
Neven Mijat   +2 more
doaj   +1 more source

Designing series of fractional-order elements [PDF]

open access: yesAnalog Integrated Circuits and Signal Processing, 2021
In this paper we propose an efficient approach to design fractional-order elements’ (FOEs) series, while using a very limited set of “seed” FOEs. The proposed approach follows the idea of general immittance inverter/converter, whereas a suitable circuit solution employing operational transconductance amplifiers is also presented and can be used for the
Jaroslav Koton   +3 more
openaire   +2 more sources

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