ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Fractional Calculus Applications in Modeling and Design of Control Systems

Journal of Applied Nonlinear Dynamics 6(2) (2017) 131--134 | DOI:10.5890/JAND.2017.06.001

Cristina I. Muresan, Piotr Ostalczyk$^{2}$, Manuel D. Ortigueira$^{3}$

$^{1}$ Department of Automation, Faculty of Automation and Computer Science, Technical University of Cluj-Napoca, Memorandumului Street, no 28, 400114 Cluj-Napoca, Romania

$^{2}$ Institute of Applied Computer Science, Lodz University of Technology, 90-924 Lodz, Poland

$^{3}$ UNINOVA and DEE/ Faculdade de Ciˆencias e Tecnologia da UNL, Campus da FCT, Quinta da Torre,2829-516 Caparica, Portugal

Abstract

Fractional calculus represents the generalization of integration and differentiation to an arbitrary order. Since the very first occurrence of fractional differentiation more than 300 years ago, fractional calculus and research related to its possible application have deserved ever-growing attention and interest. The research community has managed to bring forward ideas and concepts that justify the importance of fractional calculus for future engineering and science discoveries. What has begun as a means to describe abnormal behaviours in viscoelasticity or diffusion, power law phenomena, long range processes or fractal structures has spread to almost all engineering fields and applied sciences. Nowadays, its use in control engineering has been gaining more and more popularity in both modeling and identification, as well as in the controller tuning.

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