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

C Muñiz-Montero, LV García-Jiménez… - Nonlinear …, 2017 - Springer
In this work, we propose an alternative for the circuital realization of analog fractional-order
differentiators and integrators without using ladder networks. This alternative is obtained by …

Analogue realization of fractional-order dynamical systems

Ľ Dorčák, J Valsa, E Gonzalez, J Terpák, I Petráš… - Entropy, 2013 - mdpi.com
As it results from many research works, the majority of real dynamical objects are fractional-
order systems, although in some types of systems the order is very close to integer order …

Conceptual design of a selectable fractional-order differentiator for industrial applications

E Gonzalez, Ľ Dorčák, C Monje, J Valsa… - … Calculus and Applied …, 2014 - degruyter.com
In the past decade, researchers working on fractional-order systems modeling and control
have been considering working on the design and development of analog and digital …

Fractional PID Controller for Voltage-Lift Converters

LM Martinez-Patiño, FJ Perez-Pinal… - Fractal and …, 2023 - mdpi.com
Voltage-lift is a widely used technique in DC–DC converters to step-up output voltage levels.
Several traditional and advanced control techniques applicable to power electronic …

On the electronic realizations of fractional-order phase-lead-lag compensators with OpAmps and FPAAs

C Muñiz-Montero, LA Sánchez-Gaspariano… - Fractional order control …, 2017 - Springer
It is well known that the fractional-order phase-lead-lag compensators can achieve control
objectives that are not always possible by using their integer-order counterparts. However …

Measurement units and physical dimensions of fractance-part I: Position of purely ideal fractor in Chua's axiomatic circuit element system and fractional-order …

YF Pu - IEEE Access, 2016 - ieeexplore.ieee.org
Here and in the companion paper (Part II), a novel conceptual framework on the
measurement units and physical dimensions of fractance and rules for fractors in series and …

Active Realization of Fractional‐Order Integrators and Their Application in Multiscroll Chaotic Systems

JM Munoz-Pacheco, LC Lujano-Hernández… - …, 2021 - Wiley Online Library
This paper presents the design, simulation, and experimental verification of the fractional‐
order multiscroll Lü chaotic system. We base them on op‐amp‐based approximations of …

Measurement units and physical dimensions of fractance-part II: Fractional-order measurement units and physical dimensions of fractance and rules for fractors in …

YF Pu - IEEE Access, 2016 - ieeexplore.ieee.org
Here and in the companion paper (Part I), a novel conceptual framework on the
measurement units and physical dimensions of fractance and rules for fractors in series and …

Efficient analog implementations of fractional-order controllers

A Tepljakov, E Petlenkov… - Proceedings of the 14th …, 2013 - ieeexplore.ieee.org
Fractional-order calculus is a very useful tool which extends classical, integer-order calculus
and is used in contemporary modeling and control applications. It allows to describe …

[PDF][PDF] Realization of fractional order differentiator by analogue electronic circuit

AK Mahmood, SAR Saleh - … Journal of Advances in Engineering & …, 2015 - academia.edu
The aim of this paper is to realize fractional order derivative (FD) with electronic circuit
utilizing the syntheses of a fractance circuit. The realization has been done via synthesis of …