Theory and Applications of Fractional Order Systems and Signals II

A special issue of Algorithms (ISSN 1999-4893).

Deadline for manuscript submissions: closed (30 November 2019) | Viewed by 4289

Special Issue Editors


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Guest Editor
Department of Electrical Engineering at the University of Chile, in Santiago, Chile
Interests: robust adaptive control (linear and nonlinear; fractional and integer order) system identification and parameter estimation intelligent; control and applications technology for automation; applied control to mining, energy, electric power, electro-medicine and wine industry
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Guest Editor
Department of Electrical Engineering, Section of Mechatronics, Center of Research and Advanced Studies of the National Polytechnic Institute (CINVESTAV), México City, Mexico
Interests: analysis and design of controllers for nonlinear systems and applications; control of servomechanisms; computer-controlled systems; robot control; unmanned aerial and ground autonomous vehicle control
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

In the past, results related to fractional order operators have been reported both in theory and application, covering different fields such as modeling, identification, estimation, observer design, control, and signal processing, among others. The interest in using fractional order tools has increased rapidly over the last few decades, with solid results being obtained for the study of fractional order systems and signals for transient behavior, stability, convergence, and boundedness viewpoints, allowing a comparison of these techniques with those based on integer order derivative and integral operators, expanding the horizons on these topics.

The present Special Issue is devoted to new theories and applications, making use of fractional order operators and comparisons with their integer order counterparts. The topics of interest include, but are not limited to, the following areas:

  • ­Fractional order control (adaptive and non-adaptive) theory and practice;
  • ­Fractional order sliding mode control and applications;
  • ­Stability of fractional order differential equations and systems;
  • ­Fractional order observers and estimators;
  • ­Back-stepping fractional order control (adaptive and non-adaptive systems);
  • ­Fractional integrals and derivatives and their applications;
  • ­Fractional order signal processing;
  • ­Fractional order passivity and applications;
  • ­Conformable fractional calculus;
  • ­New definitions of fractional derivatives;
  • ­Applications of fractional calculus
  • ­Fractional order stochastic systems and controls;
  • ­Fractional order modeling of physical systems.

Prof. Dr. Manuel Duarte-Mermoud
Prof. Dr. Rafael Castro-Linares
Guest Editors

Manuscript Submission Information

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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1600 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 controllers
  • fractional order observers
  • stability of fractional order systems
  • fractional order signal processing

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Published Papers (1 paper)

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17 pages, 1075 KiB  
Article
Fractional Sliding Mode Nonlinear Procedure for Robust Control of an Eutrophying Microalgae Photobioreactor
by Abraham Efraim Rodríguez-Mata, Ricardo Luna, Jose Ricardo Pérez-Correa, Alejandro Gonzalez-Huitrón, Rafael Castro-Linares and Manuel A. Duarte-Mermoud
Algorithms 2020, 13(3), 50; https://doi.org/10.3390/a13030050 - 26 Feb 2020
Cited by 9 | Viewed by 3828
Abstract
This paper proposes a fractional-order sliding mode controller (FOSMC) for the robust control of a nonlinear process subjected to unknown parametric disturbances. The controller aims to ensure optimal growth in photobioreactors of native microalgae involved in eutrophication of the Sinaloa rivers in Mexico. [...] Read more.
This paper proposes a fractional-order sliding mode controller (FOSMC) for the robust control of a nonlinear process subjected to unknown parametric disturbances. The controller aims to ensure optimal growth in photobioreactors of native microalgae involved in eutrophication of the Sinaloa rivers in Mexico. The controller design is based on the Caputo fractional integral-order derivative and on the convergence properties of a sliding surface. For nonlinear systems, the proposed FOSMC guarantees convergence to the sliding surface even in the presence of model disturbances. The proposed controller is compared to an Internal Model Control (IMC) through numerical simulations. Full article
(This article belongs to the Special Issue Theory and Applications of Fractional Order Systems and Signals II)
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