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Erschienen in:
Petri Nets in Discrete-Event and Hybrid Systems Modelling, Analysing, Performance Evaluation and Control Kapitel lesen Erstes Kapitel lesen

2017 | OriginalPaper | Buchkapitel

The PLC Implementation of Fractional-Order Operator Using CFE Approximation

verfasst von : Krzysztof Oprzedkiewcz, Wojciech Mitkowski, Edyta Gawin

Erschienen in: Automation 2017

Verlag: Springer International Publishing

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Abstract

In the paper an implementation of an elementary fractional order, integro-differential operator at PLC platform is discussed. The considered element is approximated with the use of discrete CFE approximation. The operator we deal with is a crucial part of fractional order PID controller. Guidelines to PLC implementation with the use of object-oriented approach presented by IEC 61131.3 standard are given also. As an example the implementation at SIEMENS SIMATIC S7 1200 platform is presented. As a reference the analytical response of element was applied, the quality of model was estimated with use of typical MSE cost function. Results of experiments show, that the PLC implementation of the fractional order element is possible to make with the use of object-oriented approach and the accuracy of approximation is determined by its order.

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Vorheriges Kapitel Petri Nets in Discrete-Event and Hybrid Systems Modelling, Analysing, Performance Evaluation and Control
Nächstes Kapitel Descriptor Positive Nonlinear Systems
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Metadaten
Titel
The PLC Implementation of Fractional-Order Operator Using CFE Approximation
verfasst von
Krzysztof Oprzedkiewcz
Wojciech Mitkowski
Edyta Gawin
Copyright-Jahr
2017
Buch
Automation 2017

Print ISBN: 978-3-319-54041-2

Electronic ISBN: 978-3-319-54042-9

Copyright-Jahr: 2017

DOI
https://doi.org/10.1007/978-3-319-54042-9_2