Analog Implementation of Fractional-Order Electric Elements Using Caputo-Fabrizio and Atangana-Baleanu Definitions

Fractals ◽  
2021 ◽  
Author(s):  
Xiaozhong Liao ◽  
Da Lin ◽  
Lei Dong ◽  
Manjie Ran ◽  
Donghui Yu
Keyword(s):  
Fractional Order ◽  
Analog Implementation

New alternatives for analog implementation of fractional-order integrators, differentiators and PID controllers based on integer-order integrators

2017 ◽  
Vol 90 (1) ◽  
pp. 241-256 ◽  
Author(s):  
Carlos Muñiz-Montero ◽  
Luis V. García-Jiménez ◽  
Luis A. Sánchez-Gaspariano ◽  
Carlos Sánchez-López ◽  
Víctor R. González-Díaz ◽  
...  
Keyword(s):  
Fractional Order ◽  
Pid Controllers ◽  
Integer Order ◽  
Analog Implementation

scholarly journals Design of Low-Voltage FO-[PD] Controller for Motion Systems

2021 ◽  
Vol 11 (2) ◽  
pp. 26
Author(s):  
Rafailia Malatesta ◽  
Stavroula Kapoulea ◽  
Costas Psychalinos ◽  
Ahmed S. Elwakil
Keyword(s):  
Transfer Function ◽  
Fractional Order ◽  
Degrees Of Freedom ◽  
Low Voltage ◽  
Laplacian Operator ◽  
Practical Applications ◽  
Operational Transconductance Amplifiers ◽  
Significant Research ◽  
Analog Implementation ◽  
Fractional Order Controller

Fractional-order controllers have gained significant research interest in various practical applications due to the additional degrees of freedom offered in their tuning process. The main contribution of this work is the analog implementation, for the first time in the literature, of a fractional-order controller with a transfer function that is not directly constructed from terms of the fractional-order Laplacian operator. This is achieved using Padé approximation, and the resulting integer-order transfer function is implemented using operational transconductance amplifiers as active elements. Post-layout simulation results verify the validity of the introduced procedure.

Stability in a Discrete Fractional Order Prey Predator System with Functional Response

2017 ◽  
Vol 7 (5) ◽  
pp. 630-633 ◽  
Author(s):  
A. George Maria Selvam ◽  
◽  
R. Janagaraj ◽  
Britto Jacob. S ◽  
◽  
...  
Keyword(s):  
Functional Response ◽  
Fractional Order ◽  
Predator System

The properties of Bessel-type fractional derivatives and integrals

2016 ◽  
pp. 3973-3982
Author(s):  
V. R. Lakshmi Gorty
Keyword(s):  
Fractional Order ◽  
Real Line ◽  
Computer Algebra System ◽  
Fractional Derivatives ◽  
Graphical Representation ◽  
Fractional Integrals ◽  
The Real ◽  
Fractional Derivatives And Integrals ◽  
Half Axis ◽  
Derivatives Of

The fractional integrals of Bessel-type Fractional Integrals from left-sided and right-sided integrals of fractional order is established on finite and infinite interval of the real-line, half axis and real axis. The Bessel-type fractional derivatives are also established. The properties of Fractional derivatives and integrals are studied. The fractional derivatives of Bessel-type of fractional order on finite of the real-line are studied by graphical representation. Results are direct output of the computer algebra system coded from MATLAB R2011b.

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