Analogue realisation of fractional-order integrator, differentiator and fractional PIλDµ controller

2006 ◽  
Vol 153 (6) ◽  
pp. 714-720 ◽  
Author(s):  
A. Charef
Keyword(s):  
Fractional Order ◽  
Fractional Order Integrator

Bilateral Photoplethysmography Analysis for Peripheral Arterial Stenosis Screening With a Fractional-Order Integrator and Info-Gap Decision-Making

2016 ◽  
Vol 16 (8) ◽  
pp. 2691-2700 ◽  
Author(s):  
Jian-Xing Wu ◽  
Chien-Ming Li ◽  
Yueh-Ren Ho ◽  
Ming-Jui Wu ◽  
Ping-Tzan Huang ◽  
...  
Keyword(s):  
Decision Making ◽  
Fractional Order ◽  
Arterial Stenosis ◽  
Fractional Order Integrator ◽  
Peripheral Arterial

Design of digital Feller fractional order integrator

2014 ◽  
Vol 102 ◽  
pp. 16-31 ◽  
Author(s):  
Chien-Cheng Tseng ◽  
Su-Ling Lee
Keyword(s):  
Fractional Order ◽  
Fractional Order Integrator

scholarly journals CMOS OTA-Based Filters for Designing Fractional-Order Chaotic Oscillators

2021 ◽  
Vol 5 (3) ◽  
pp. 122
Author(s):  
Martín Alejandro Valencia-Ponce ◽  
Perla Rubí Castañeda-Aviña ◽  
Esteban Tlelo-Cuautle ◽  
Victor Hugo Carbajal-Gómez ◽  
Victor Rodolfo González-Díaz ◽  
...  
Keyword(s):  
Fractional Order ◽  
Complementary Metal Oxide Semiconductor ◽  
Cmos Technology ◽  
Oxide Semiconductor ◽  
Chaotic Oscillators ◽  
Operational Transconductance Amplifiers ◽  
Fractional Order Integrator ◽  
The Mathematical Model ◽  
Good Agreement

Fractional-order chaotic oscillators (FOCOs) have shown more complexity than integer-order chaotic ones. However, the majority of electronic implementations were performed using embedded systems; compared to analog implementations, they require huge hardware resources to approximate the solution of the fractional-order derivatives. In this manner, we propose the design of FOCOs using fractional-order integrators based on operational transconductance amplifiers (OTAs). The case study shows the implementation of FOCOs by cascading first-order OTA-based filters designed with complementary metal-oxide-semiconductor (CMOS) technology. The OTAs have programmable transconductance, and the robustness of the fractional-order integrator is verified by performing process, voltage and temperature variations as well as Monte Carlo analyses for a CMOS technology of 180 nm from the United Microelectronics Corporation. Finally, it is highlighted that post-layout simulations are in good agreement with the simulations of the mathematical model of the FOCO.

Energy Stored in Fractional-Order Elements With Constant Inputs

2015 ◽  
Author(s):  
Tom T. Hartley ◽  
Robert J. Veillette ◽  
Jay L. Adams ◽  
Carl F. Lorenzo
Keyword(s):  
Fractional Order ◽  
Constant Current ◽  
Constant Voltage ◽  
Stored Energy ◽  
Constant Input ◽  
Circuit Element ◽  
Fractional Order Differentiator ◽  
Fractional Order Integrator ◽  
Internal Efficiency ◽  
Charging Efficiency

The internal efficiency of the energy storage in a general fractional-order circuit element is analyzed. By use of distributed-circuit representations, integral expressions are derived for the energy stored in a fractional-order integrator or a fractional-order differentiator for any given profile of the distributed state. For either constant-current or constant-voltage charging, these expressions for the stored energy are evaluated and compared with the energy supplied at the terminals of the element, so that the efficiency of the charging process is determined. The result is found to verify a published conjecture on the constant-input charging efficiency of the fractional-order elements.

Fractional order integrator/differentiator: FPGA implementation and FOPID controller application

2019 ◽  
Vol 98 ◽  
pp. 220-229 ◽  
Author(s):  
Mohammed F. Tolba ◽  
BahaaAlDeen M. AboAlNaga ◽  
Lobna A. Said ◽  
Ahmed H. Madian ◽  
Ahmed G. Radwan
Keyword(s):  
Fractional Order ◽  
Fpga Implementation ◽  
Fractional Order Integrator
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