New perspectives of analog and digital simulations of fractional order systems

• Autorzy: Charef A. , Charef M. , Djouambi A. , Voda A.

Identyfikatory

DOI

10.1515/acsc-2017-0006

• Języki publikacji: EN

Abstrakty

EN

In the recent decades, fractional order systems have been found to be useful in many areas of physics and engineering. Hence, their efficient and accurate analog and digital simulations and numerical calculations have become very important especially in the fields of fractional control, fractional signal processing and fractional system identification. In this article, new analog and digital simulations and numerical calculations perspectives of fractional systems are considered. The main feature of this work is the introduction of an adjustable fractional order structure of the fractional integrator to facilitate and improve the simulations of the fractional order systems as well as the numerical resolution of the linear fractional order differential equations. First, the basic ideas of the proposed adjustable fractional order structure of the fractional integrator are presented. Then, the analog and digital simulations techniques of the fractional order systems and the numerical resolution of the linear fractional order differential equation are exposed. Illustrative examples of each step of this work are presented to show the effectiveness and the efficiency of the proposed fractional order systems analog and digital simulations and implementations techniques

Słowa kluczowe

EN

adjustable fractional operators; Charef approximation; fractional differential equation; ractional integrator; fractional systems

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2017
• Tom: Vol. 27, no. 1
• Strony: 91--118
• Opis fizyczny: Bibliogr. 36 poz., rys., wykr., wzory

Twórcy

autor

Charef A.

• Laboratoire de Traitement du Signal Département d’Electronique, Université des Frères Mentouri - Constantine, Route Ain El-bey, Constantine 25011, Algeria

autor

Charef M.

• Laboratoire de Traitement du Signal Département d’Electronique, Université des Frères Mentouri - Constantine, Route Ain El-bey, Constantine 25011, Algeria

autor

Djouambi A.

• Department d'Electronice, Universite Labri Ben M'Hidi Oum El Bouaghi 04000, Algeria

autor

Voda A.

• Universite Grenoble Alpes, CNRS, Gipsa-lab, F-38000 Grenoble, France

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).