Szczegóły publikacji

Opis bibliograficzny

A PLC implementation of PSE approximant for fractional order operator / Krzysztof OPRZĘDKIEWICZ, Edyta Gawin, Wojciech MITKOWSKI // W: Non-integer order calculus and its applications : 9th international conference on Non-integer order calculus and its applications, Łódź, Poland, [11–13 October 2017] / eds. Piotr Ostalczyk, Dominik Sankowski, Jacek Nowakowski. — Cham : Springer International Publishing, cop. 2019. — (Lecture Notes in Electrical Engineering ; ISSN 1876-1100 ; vol. 496). — ISBN: 978-3-319-78457-1; e-ISBN: 978-3-319-78458-8. — S. 102–112. — Bibliogr., Abstr. — Publikacja dostępna online od: 2018-03-23

Autorzy (3)

Słowa kluczowe

Grünvald-Letnikov definitionMemory Length problemIEC61131.3 standardPSE approximationPLCfractional order systems

Dane bibliometryczne

ID BaDAP118099
Data dodania do BaDAP2018-11-15
DOI10.1007/978-3-319-78458-8_10
Rok publikacji2019
Typ publikacjimateriały konferencyjne (aut.)
Otwarty dostęptak
WydawcaSpringer
Konferencja9th international conference on Non-integer order calculus and its applications
Czasopismo/seriaLecture Notes in Electrical Engineering

Abstract

The paper is intended to present a PLC implementation of an elementary fractional order, integro-differential operator. The considered element is approximated with the use of discrete PSE approximation, derived directly from Griinvald-Letnikov definition. The operator we deal with is a crucial part of each digital implementation of FO calculations (for example: FO PID controller or FO model). Guidelines to PLC implementation with the use of object-oriented approach presented by IEC 61131.3 standard were given also. As an example the implementation at SIEMENS SIMATIC S7 1500 platform is presented. As a reference the analytical response of element was applied, the quality of discrete PSE model was estimated with use of typical MSE cost function. Results of experiments show, that the PLC, real time implementation of the fractional order element is possible with the use of tested small PLC and object-oriented approach recommended by IEC61131.3 standard.

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Memory-effective modifications of PSE approximation / Krzysztof OPRZĘDKIEWICZ // W: Non-integer order calculus and its applications : 9th international conference on Non-integer order calculus and its applications, Łódź, Poland, [11–13 October 2017] / eds. Piotr Ostalczyk, Dominik Sankowski, Jacek Nowakowski. — Cham : Springer International Publishing, cop. 2019. — (Lecture Notes in Electrical Engineering ; ISSN 1876-1100 ; vol. 496). — ISBN: 978-3-319-78457-1; e-ISBN: 978-3-319-78458-8. — S. 113–125. — Bibliogr., Abstr. — Publikacja dostępna online od: 2018-03-23
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