Applications of Fractional-Order Tools in Engineering Technology and Physical Processes

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

Deadline for manuscript submissions: 30 November 2024 | Viewed by 1467

Special Issue Editors


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Department of Multidisciplinay Engineering, Texas A&M University, 6200 Tres Lagos Blvd, Higher Education Center at McAllen, McAllen, TX 78504, USA
Interests: fractional calculus; nonlinear systems; robotics; fuzzy logics; neural networks; control theory; integral equations
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Department of Physics and Mathematics, Universidad Iberoamericana, Ciudad de México 01219, Mexico
Interests: fractional calculus; linear systems theory; transport phenomena; condensed matter physics; control theory; nonlinear analysis
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Department of Mathematics, College of Sciences and Arts in ArRass, Qassim University, Buraydah 51452, Saudi Arabia
Interests: mathematical analysis; parabolic variational inequalities; Hamilton–Jacobi–Bellman equations; numerical methods for PDEs
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UMR 8201, CNRS, LAMIH, INSA Hauts-de-France, Université Polytechnique Hauts-de-France, F-59313 Valenciennes, France
Interests: control theory; robot motion; fractional-order control; autonomous aerial vehicles; electrical control
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Fractional calculus has emerged as a viable tool for modeling and understanding a larger class of physical systems and engineering processes. On the one hand, fractional-order operators allow memory properties to be accounted for when studying a broader class of phenomena on a deeper level. On the other hand, these inherent properties of fractional-order systems result of interest for the design of advanced control methodologies, with greater flexibility and precision.

Fractional-order techniques can also be regarded as extensions of conventional integer-order tools, with local memory properties. For that reason, additional generalizations are currently under active research, as their implementations in the control loops are necessary to improve the controlled system response. Among these techniques, one can consider distributed- and variable-order derivatives and integrals, although additional generalizations are available in the literature, and further studies are underway.

This Special Issue aims to present outstanding and recent studies on the applications of fractional-order tools in modeling and control of physical processes and engineering systems. Manuscripts related, but not limited, to the robot control, autonomous vehicles, neural networks, fuzzy logics, advanced materials, and energy management, which use fractional-order tools, are welcome. Researchers in these mentioned fields are invited to contribute original unpublished manuscripts. Both research and review papers are welcome.

Dr. Aldo Jonathan Muñoz–Vázquez
Prof. Dr. Guillermo Fernández-Anaya
Prof. Dr. Salah Mahmoud Boulaaras
Dr. Moussa Labbadi
Guest Editors

Manuscript Submission Information

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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 calculus
  • robotic systems
  • fractional neural networks
  • fractional fuzzy logics
  • synchronization of fractional systems
  • fractional PID
  • fractional sliding mode control

Published Papers (1 paper)

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Research

16 pages, 4245 KiB  
Article
Fixed-Time Fractional-Order Sliding Mode Control for UAVs under External Disturbances
by Abdellah Benaddy, Moussa Labbadi, Kamal Elyaalaoui and Mostafa Bouzi
Fractal Fract. 2023, 7(11), 775; https://doi.org/10.3390/fractalfract7110775 - 25 Oct 2023
Cited by 1 | Viewed by 970
Abstract
The present paper investigates a fixed-time tracking control with fractional-order dynamics for a quadrotor subjected to external disturbances. After giving the formulation problem of a quadrotor system with six subsystems like a second-order system, a fractional-order sliding manifold is then designed to achieve [...] Read more.
The present paper investigates a fixed-time tracking control with fractional-order dynamics for a quadrotor subjected to external disturbances. After giving the formulation problem of a quadrotor system with six subsystems like a second-order system, a fractional-order sliding manifold is then designed to achieve a fixed-time convergence of the state variables. In order to cope with the upper bound of the disturbances, a switching fixed-time controller is added to the equivalent control law. Based on the switching law, fixed-time stability is ensured. All analysis and stability are proved using the Lyapunov approach. Finally, the higher performance of the proposed controller fixed-time fractional-order sliding mode control (FTFOSMC) is successfully compared to the two existing techniques through numerical simulations. Full article
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