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Statements

Subject Item
n2:RIV%2F70883521%3A28140%2F12%3A43868015%21RIV13-MSM-28140___
rdf:type
skos:Concept n8:Vysledek
dcterms:description
The aim of this contribution is to test by simulations whether the higher order rational approximation for exponential elements in linear time-invariant time-delay systems (LTI-TDS) automatically means the better (i.e. more accurate) finite dimensional approximating model. The presented approximations are utilized to the Laplace transfer function model in the form of fractions of socalled quasipolynomials and the methods are chosen so that they are easy to handle with. Namely, Padé approximation, shift operator approximations-Laguerre and Kautz shift-and Fourier analysis based method are introduced and benchmarked. The work is motivated i.a. by the fact that direct controller design for LTI-TDS based on such models is mostly rather intricate and there are no theoretical results for internal delays. Moreover, the authors intend to use the results for rationalization of so-called anisochronic controllers when their discretization. The quality of approximation is measured by the well known H2 and Hinf norms instead of exact analytic calculations since it is sufficient for practical engineering problems. Some simulation examples for anisochronic controllers by means of a developed program testing interface in Matlab-Simulink environment are presented as well. The aim of this contribution is to test by simulations whether the higher order rational approximation for exponential elements in linear time-invariant time-delay systems (LTI-TDS) automatically means the better (i.e. more accurate) finite dimensional approximating model. The presented approximations are utilized to the Laplace transfer function model in the form of fractions of socalled quasipolynomials and the methods are chosen so that they are easy to handle with. Namely, Padé approximation, shift operator approximations-Laguerre and Kautz shift-and Fourier analysis based method are introduced and benchmarked. The work is motivated i.a. by the fact that direct controller design for LTI-TDS based on such models is mostly rather intricate and there are no theoretical results for internal delays. Moreover, the authors intend to use the results for rationalization of so-called anisochronic controllers when their discretization. The quality of approximation is measured by the well known H2 and Hinf norms instead of exact analytic calculations since it is sufficient for practical engineering problems. Some simulation examples for anisochronic controllers by means of a developed program testing interface in Matlab-Simulink environment are presented as well.
dcterms:title
Does the higher order mean the better internal delay rational approximation? Does the higher order mean the better internal delay rational approximation?
skos:prefLabel
Does the higher order mean the better internal delay rational approximation? Does the higher order mean the better internal delay rational approximation?
skos:notation
RIV/70883521:28140/12:43868015!RIV13-MSM-28140___
n8:predkladatel
n9:orjk%3A28140
n3:aktivita
n5:P
n3:aktivity
P(ED2.1.00/03.0089)
n3:cisloPeriodika
1
n3:dodaniDat
n6:2013
n3:domaciTvurceVysledku
n11:6736971 n11:1717693
n3:druhVysledku
n12:J
n3:duvernostUdaju
n19:S
n3:entitaPredkladatele
n4:predkladatel
n3:idSjednocenehoVysledku
131861
n3:idVysledku
RIV/70883521:28140/12:43868015
n3:jazykVysledku
n14:eng
n3:klicovaSlova
Rational approximation; LTI-TDS; Hardy space; Fourier analysis; Anisochronic controllers
n3:klicoveSlovo
n13:Rational%20approximation n13:Hardy%20space n13:Anisochronic%20controllers n13:Fourier%20analysis n13:LTI-TDS
n3:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n3:kontrolniKodProRIV
[67E0A6AEDFF7]
n3:nazevZdroje
International Journal of Mathematics and Computers in Simulations
n3:obor
n18:JC
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n16:ED2.1.00%2F03.0089
n3:rokUplatneniVysledku
n6:2012
n3:svazekPeriodika
6
n3:tvurceVysledku
Pekař, Libor Kurečková, Eva
s:issn
1998-0159
s:numberOfPages
8
n15:organizacniJednotka
28140