Prof. Ivo Petráš
Technical University of Kosice
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Academic Career Length
26Years (2001-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications1 June 2009
Conference Paper
Many real dynamic systems are better characterized using a non-integer order dynamic model based on fractional calculus or, differentiation or integration of non-integer order. Traditional calculus is based on integer order differentiation and integration. The concept of fractional calculus has tremendous potential to change the way we see, model, and control the nature around us. Denying fractional derivatives is like saying that zero, fractional, or irrational numbers do not exist. In this paper, we offer a tutorial on fractional calculus in controls. Basic definitions of fractional calculus, fractional order dynamic systems and controls are presented first. Then, fractional order PID controllers are introduced which may make fractional order controllers ubiquitous in industry. Additionally, several typical known fractional order controllers are introduced and commented. Numerical methods for simulating fractional order systems are given in detail so that a beginner can get started quickly. Discretization techniques for fractional order operators are introduced in some details too. Both digital and analog realization methods of fractional order operators are introduced. Finally, remarks on future research efforts in fractional order control are given.
1 July 2002 in Nonlinear Dynamics
Journal Article
IPIgor Podlubny
Igor PodlubnyIvo Petráš
Blas M VinagrePOP. O'LEary
P. O'LEary
ĽDĽ. Dorčák
Ľ. Dorčák1 August 2003 in Journal of the Franklin Institute
Journal Article
1 July 2002 in Nonlinear Dynamics
Journal Article
Blas M VinagreIvo PetrášIPIgor Podlubny
Igor Podlubny
YangQuan Chen9 November 2010 in IEEE Transactions on Circuits and Systems II: Express Briefs
Journal Article
Ivo PetrášThis express brief deals with the memristor-based Chua's circuit. For the first time, the fractional-order model for such system is presented. A numerical solution of the fractional-order memristor-based Chua's equations is derived for simulations. The dynamical behavior and stability analysis of this system are described and investigated as well.
About Me
Ivo Petráš received the M.Sc. and Ph.D. degrees in process control from the Technical University of Kosice, Slovakia, in 1997 and 2000, respectively, and the Dr.Sc. degree in process control from the Slovak University of Technology in Bratislava, Slovakia, in 2013. He works at the Faculty of BERG, Institute of Control and Informatization of Production Processes, Technical University of Kosice, as a Professor, and the Institute Director. He has published 7 books, 5 book chapters, over 80 journal articles, and over 100 conference papers. His research interests include control systems, automation, and applied mathematics. He is a member of IFAC (TC 2.2. Linear Control Systems) and a senior member of the IEEE Control Systems Society, IEEE Robotics and Automation Society, and IEEE Systems, Man, and Cybernetics Society. He is also a member of the Editorial Board for International Journal of General Systems, International Journal of Applied and Computational Mathematics, and Mathematics. He serves as an Associate Editor for journals: Fractional Calculus and Applied Analysis and ISA Transactions. In 2005, he received an award from the Ministry of Education, Slovakia, in category of young scientist to 35 years, and in 2020 in the category the best scientist. In 2016, he received the Prize of the Literary Fund of the Slovak Republic for the third most frequently cited book in Slovakia and the Prize of the Literary Fund of the Slovak Republic for the three-year citation impact.