Fractional Order Controllers: Design and Applications, 2nd Edition

Dear Colleagues,

Fractional calculus is an emerging field in system identification and control engineering. It is well-known that a fractional order model is more suitable to accurately describe complex physical phenomena such as viscoelasticity, diffusion in porous media and various biomedical processes. From the control perspective, fractional calculus extends the widely popular proportional integral derivative (PID) controller to a more versatile fractional order proportional integral derivative controller (FOPID), by adding two additional parameters to the controller’s transfer function consisting of arbitrary, non-integer, orders of integration and differentiation. The additional parameters enable the FOPID controller to satisfy a more restrictive set of specifications than the PID controller, resulting in more degrees of freedom, increased stability and improved performance of the closed-loop system. Furthermore, another major advantage consists of being able to impose the robustness specification (usually through the isodamping property) directly in the tuning procedure. Apart from the FOPID controller, there are also other control strategies that have been extended using fractional calculus with uplifting results.

This Special Issue focuses on design strategies of fractional order controllers and their various applications. The aim is to present the latest advances in theory, design, implementation and validation of any kind of fractional order control strategy for both integer and fractional order processes. Topics that are welcome for submission include (but are not limited to) the following:

• Theoretical aspects of fractional order control (e.g., stability analysis);
• Fractional order controller design strategies;
• Digital and analog approximations of fractional order elements ;
• Implementation of fractional order controllers (discrete time implementation strategies, control effort assessment, etc.);
• Comparisons between fractional and integer order controllers;
• Experimental implementation and validation;
• Fractional order control in Industry 4.0;
• Applications of fractional order control strategies.

Dr. Isabela Roxana Birs
Dr. Cristina I. Muresan
Prof. Dr. Clara Ionescu
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.

• fractional order PID controller
• fractional calculus
• fractional order control
• robust fractional control
• fractional order applications