Szczegóły publikacji

Opis bibliograficzny

Convergence of Laguerre Impulse Response Approximation for noninteger order systems / Piotr BANIA, Jerzy BARANOWSKI, Marta ZAGÓROWSKA // Mathematical Problems in Engineering ; ISSN 1024-123X. — 2016 — art. ID 9258437, s. 1–13. — Bibliogr. s. 11–13, Abstr.

Autorzy (3)

Dane bibliometryczne

ID BaDAP102186
Data dodania do BaDAP2016-12-22
Tekst źródłowyURL
DOI10.1155/2016/9258437
Rok publikacji2016
Typ publikacjiartykuł w czasopiśmie
Otwarty dostęptak
Creative Commons
Czasopismo/seriaMathematical Problems in Engineering

Abstract

One of the most important issues in application of noninteger order systems concerns their implementation. One of the possible approaches is the approximation of convolution operation with the impulse response of noninteger system. In this paper, new results on the Laguerre Impulse Response Approximationmethod are presented. Among the others, a new proof of L-1 convergence of approximation is given, allowing less strict assumptions. Additionally, more general results are given including one regarding functions that are in the joint part of L-1 and L-2 spaces. Themethod was also illustrated with examples of use: analysis of "fractional order lag" system, application to noninteger order filters design, and parametric optimization of fractional controllers.

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#84495Data dodania: 22.10.2014
Impulse response approximation method for ”fractional order lag” / Marta ZAGÓROWSKA, Jerzy BARANOWSKI, Piotr BANIA, Paweł PIĄTEK, Waldemar BAUER, Tomasz DZIWIŃSKI // W: Advances in modelling and control of non-integer order systems : 6th conference on Non-integer order calculus and its applications, 2014 Opole, Poland / eds. Krzysztof J. Latawiec, Marian Łukaniszyn, Rafał Stanisławski. — Switzerland : Springer International Publishing, cop. 2015. — (Lecture Notes in Electrical Engineering ; ISSN 1876-1100 ; vol. 320). — ISBN: 978-3-319-09899-9; e-ISBN: 978-3-319-09900-2. — S. 113–122. — Bibliogr. s. 122, Abstr.
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#74176Data dodania: 4.7.2013
Laguerre polynomial approximation of fractional order linear systems / Piotr BANIA, Jerzy BARANOWSKI // W: Advances in the theory and applications of non-integer order systems : 5th conference on Non-integer order calculus and its applications : [4–5 July 2013], Cracow, Poland / eds. Wojciech Mitkowski, Janusz Kacprzyk, Jerzy Baranowski. — Switzerland : Springer International Publishing, cop. 2013. — (Lecture Notes in Electrical Engineering ; ISSN 1876-1100 ; vol. 257). — ISBN: 978-3-319-00932-2; e-ISBN: 978-3-319-00933-9. — S. 171–182. — Bibliogr. s. 181, Abstr.