Impulse Response Approximation Method for ``Fractional Order Lag''

M. Zagórowska; J. Baranowski; P. Bania; P. Piatek; W. Bauer; T. Dziwiński

Impulse Response Approximation Method for ``Fractional Order Lag''

M. Zagórowska, J. Baranowski, P. Bania, P. Piatek, W. Bauer, T. Dziwiński

Research output: Chapter in Book/Conference proceedings/Edited volume › Chapter › Scientific › peer-review

Abstract

''Fractional order lag'' is a system that is popular in multiple applications. In this paper, authors consider a new method for approximation of this system based on its impulse response. Certain assumptions of the approximation method are verified and algorithm is presented. Also certain problems with this system analysis are discussed, especially its realisation in the form of non-integer order differential equations.

Original language	Undefined/Unknown
Title of host publication	Advances in Modelling and Control of Non-integer-Order Systems
Editors	Krzysztof J. Latawiec, Marian Łukaniszyn, Rafał Stanisławski
Publisher	Springer
Pages	113-122
Number of pages	10
ISBN (Print)	978-3-319-09900-2
Publication status	Published - 2015
Externally published	Yes

Bibliographical note

6th Conference on Non-integer Order Calculus and Its Applications, 2014. Opole, Poland. doi: http://dx.doi.org/10.1007/978-3-319-09900-2_1110.1007/978-3-319-09900-211

Cite this

@inbook{dd33dcd9ed6a468380c639558dc9bcf7,

title = "Impulse Response Approximation Method for ``Fractional Order Lag''",

abstract = "''Fractional order lag'' is a system that is popular in multiple applications. In this paper, authors consider a new method for approximation of this system based on its impulse response. Certain assumptions of the approximation method are verified and algorithm is presented. Also certain problems with this system analysis are discussed, especially its realisation in the form of non-integer order differential equations.",

author = "M. Zag{\'o}rowska and J. Baranowski and P. Bania and P. Piatek and W. Bauer and T. Dziwi{\'n}ski",

note = "6th Conference on Non-integer Order Calculus and Its Applications, 2014. Opole, Poland. doi: http://dx.doi.org/10.1007/978-3-319-09900-2_1110.1007/978-3-319-09900-211",

year = "2015",

language = "Undefined/Unknown",

isbn = "978-3-319-09900-2",

pages = "113--122",

editor = "Latawiec, {Krzysztof J.} and Marian {\L}ukaniszyn and Rafa{\l} Stanis{\l}awski",

booktitle = "Advances in Modelling and Control of Non-integer-Order Systems",

publisher = "Springer",

}

Impulse Response Approximation Method for ``Fractional Order Lag''. / Zagórowska, M.; Baranowski, J.; Bania, P. et al.
Advances in Modelling and Control of Non-integer-Order Systems. ed. / Krzysztof J. Latawiec; Marian Łukaniszyn; Rafał Stanisławski. Springer, 2015. p. 113-122.

Research output: Chapter in Book/Conference proceedings/Edited volume › Chapter › Scientific › peer-review

TY - CHAP

T1 - Impulse Response Approximation Method for ``Fractional Order Lag''

AU - Zagórowska, M.

AU - Baranowski, J.

AU - Bania, P.

AU - Piatek, P.

AU - Bauer, W.

AU - Dziwiński, T.

N1 - 6th Conference on Non-integer Order Calculus and Its Applications, 2014. Opole, Poland. doi: http://dx.doi.org/10.1007/978-3-319-09900-2_1110.1007/978-3-319-09900-211

PY - 2015

Y1 - 2015

N2 - ''Fractional order lag'' is a system that is popular in multiple applications. In this paper, authors consider a new method for approximation of this system based on its impulse response. Certain assumptions of the approximation method are verified and algorithm is presented. Also certain problems with this system analysis are discussed, especially its realisation in the form of non-integer order differential equations.

AB - ''Fractional order lag'' is a system that is popular in multiple applications. In this paper, authors consider a new method for approximation of this system based on its impulse response. Certain assumptions of the approximation method are verified and algorithm is presented. Also certain problems with this system analysis are discussed, especially its realisation in the form of non-integer order differential equations.

M3 - Chapter

SN - 978-3-319-09900-2

SP - 113

EP - 122

BT - Advances in Modelling and Control of Non-integer-Order Systems

A2 - Latawiec, Krzysztof J.

A2 - Łukaniszyn, Marian

A2 - Stanisławski, Rafał

PB - Springer

ER -