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Fractal Fract
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Fractional-Order Controllers in Electronics and Automation Engineering
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Fractional-Order Controllers in Electronics and Automation Engineering

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Engineering".

Deadline for manuscript submissions: 30 April 2025 | Viewed by 2723

Special Issue Editors

Dr. Allan G. Soriano-Sánchez

E-Mail Website
Guest Editor
CONAHCYT - Instituto Tecnológico de Celaya, Celaya 38010, Mexico
Interests: fractional-order control; power electronic converters; E-mobility; non-linear systems; synchronization; complex networks
Dr. Didier López-Mancilla

E-Mail
Guest Editor
Centro Universitario de los Lagos, Universidad de Guadalajara, Lagos de Moreno 47460, Mexico
Interests: non-linear systems; synchronization; non-linear control; complex network; chaos

Special Issue Information

Dear Colleagues,

Fractional calculus has been considered as an alternative to improve the modeling, performance, and efficiency of linear and non-linear systems. Focusing on transient and permanent responses as well as the velocity of regulation and robustness, many control strategies have been adapted to integrate the definition of fractional-order derivatives/integrals to the control objective.

Fractional-order control was successfully integrated into well-known control strategies such as the PID structure, which has been combined with more sophisticated approaches, resulting in the validation of the effectiveness and feasibility of non-integer order techniques. To date, some theory and practical results have been reported, but a systematic procedure to integrate a fractional-order approach into a control strategy and its implementation are not clear enough.

Therefore, this Special Issue is an invitation for researchers to explore the potential of fractional-order theory through visionary, radical, innovative, and ingenious control proposals to help expand the application areas, exploit the advantages, determine the limitations, and above all, clarify the bridge that connects the theory with its implementation.

Thus, the aim of this Special Issue is to motivate the development of advanced research on the theory, design, and experimental validation of fractional-order control strategies. Thus, topics of interest include but are not limited to:

  • Fractional-order control strategies for energy harvesting/storage/management;
  • Analog and digital implementation of fractal-order controllers;
  • Fractional-order control strategies developed for electromobility;
  • Applications of fractal-order control strategies in biomedicine;
  • Fractal-order circuit theory;
  • The implementation of fractional-order approximations through circuitry.

Dr. Allan G. Soriano-Sánchez
Dr. Didier López-Mancilla
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • fractional-order calculus
  • fractional-order control
  • fractional-order approximations
  • fractional-order implementation tuning of
  • fractional-order controllers

Published Papers (3 papers)

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Research

28 pages, 6558 KiB  
Article
Field-Programmable Analog Array Implementation of Neuromorphic Silicon Neurons with Fractional Dynamics
by Andrés J. Serrano-Balbontín, Inés Tejado and Blas M. Vinagre
Fractal Fract. 2024, 8(4), 226; https://doi.org/10.3390/fractalfract8040226 - 15 Apr 2024
Viewed by 538
Abstract
Silicon neurons are bioinspired circuits with the capability to reproduce the modulation through pulse-frequency observed in real neurons. They are of particular interest in closed-loop schemes to encode the control signal into pulses. This paper proposes the analog realization of neuromorphic silicon neurons [...] Read more.
Silicon neurons are bioinspired circuits with the capability to reproduce the modulation through pulse-frequency observed in real neurons. They are of particular interest in closed-loop schemes to encode the control signal into pulses. This paper proposes the analog realization of neuromorphic silicon neurons with fractional dynamics. In particular, the fractional-order (FO) operator is introduced into classical neurons with the intention of reproducing the adaptation that has been observed experimentally in real neurons, which is the variation in the firing frequency even when considering a constant or periodic incoming stimulus. For validation purposes, simulations using a field-programmable analog array (FPAA) are performed to verify the behavior of the circuits. Full article
(This article belongs to the Special Issue Fractional-Order Controllers in Electronics and Automation Engineering)
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17 pages, 846 KiB  
Article
Multivariable Fractional-Order Controller Design for a Nonlinear Dual-Tank Device
by Ryota Kochi and Mingcong Deng
Fractal Fract. 2024, 8(1), 27; https://doi.org/10.3390/fractalfract8010027 - 29 Dec 2023
Cited by 1 | Viewed by 921
Abstract
Fractional calculus is defined by expanded integer order integration and differentiation. In this paper, multiple mathematical models of a nonlinear dual-tank device are precisely formulated by fractional calculus. Using the accurate model, a multivariable fractional-order controller is designed for nonlinear devices. The merits [...] Read more.
Fractional calculus is defined by expanded integer order integration and differentiation. In this paper, multiple mathematical models of a nonlinear dual-tank device are precisely formulated by fractional calculus. Using the accurate model, a multivariable fractional-order controller is designed for nonlinear devices. The merits of the fractional-order design include: (1) control of multivariable nonlinearities, (2) compensation of uncertainties, and (3) elimination of coupling effects. Simulations and experiments are conducted to verify the precision of the fractional order models and the effectiveness of the multivariable fractional-order control system design. Full article
(This article belongs to the Special Issue Fractional-Order Controllers in Electronics and Automation Engineering)
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15 pages, 3670 KiB  
Article
Fractional-Order Extremum Seeking Method for Maximum Torque per Ampere Control of Permanent Magnet Synchronous Motor
by Haiying Song, Dejie Duan, Yiying Yan, Xinyao Li and Min Xie
Fractal Fract. 2023, 7(12), 858; https://doi.org/10.3390/fractalfract7120858 - 30 Nov 2023
Viewed by 792
Abstract
Maximum torque per ampere (MTPA) control of internal permanent magnet synchronous motors (IPMSM) has become integral to high-efficiency motor drives. To minimize the influence of the traditional model-based analytical solution method on the MTPA control strategy due to the parameter variations during the [...] Read more.
Maximum torque per ampere (MTPA) control of internal permanent magnet synchronous motors (IPMSM) has become integral to high-efficiency motor drives. To minimize the influence of the traditional model-based analytical solution method on the MTPA control strategy due to the parameter variations during the motor operation, an online search MTPA method without model-based fractional-order extremum seeking control (FO-ESC) is proposed. Compared with the traditional integer-order ESC method, the Oustaloup approximation-based fractional-order calculus provides additional factors and possibilities for optimizing controller parameters to improve control performance. At the same time, the proposed approach does not require machine parameters and is thus not influenced by machine and drive nonlinearities. Simulation results show that the proposed method can ensure robust MTPA control under different loading conditions in real-time and improve the system’s dynamic response speed and steady-state accuracy. Full article
(This article belongs to the Special Issue Fractional-Order Controllers in Electronics and Automation Engineering)
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