Electronic realization of the fractional-order system

• Main Authors: Dorčák, L'ubomír, Terpák, Ján, Petráš, Ivo, Valsa, Juraj, Horovčák, Pavel, Gonzalez, Emmanuel
• Format: text
• Published: Animo Repository 2012
• Subjects: Dynamics; Differential equations; Fractional calculus; Mathematical models; Computer Sciences
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/2971
• Institution: De La Salle University

A great deal of modern methods for investigation, monitoring and control of the processes in the area of mining and processing of earth resources utilize approaches based upon modeling of these processes using the mathematical or physical models. As it results from the last research works, majority of the real processes in general are fractional-order dynamical processes (arbitrary real order including integer order), however in some types of processes the order is very close to an integer order. In these cases the application of fractional-order models is more adequate than integer-order models for the investigation of these dynamical processes. Comparison of the methods for solving fractional-order mathematical models we have described in our past paper on the 10th International Multidisciplinary Scientific Geo-Conference-SGEM 2011. The solution of many practical problems can be simplified with the help of electronic analog models utilizing so called fractional-order elements or constant phase elements. This paper is devoted to the design and realization of the electronic fractional-order model of the fractional-order system whose mathematical model is fractional-order differential equation. Along with the mathematical description, circuit diagrams and design procedure presented are also simulation results. © SGEM2012 All Rights Reserved by the International Multidisciplinary Scientific GeoConference SGEM Published by STEF92 Technology Ltd.