Does the higher order mean the better internal delay rational approximation?

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F12%3A43868015" target="_blank" >RIV/70883521:28140/12:43868015 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Does the higher order mean the better internal delay rational approximation?

Original language 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, shiftoperator 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 thereare 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 know

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

JC - Computer hardware and software

OECD FORD branch

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Project

<a href="/en/project/ED2.1.00%2F03.0089" target="_blank" >ED2.1.00/03.0089: The Centre of Security, Information and Advanced Technologies (CEBIA-Tech)</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

International Journal of Mathematics and Computers in Simulations

ISSN

1998-0159

e-ISSN

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Volume of the periodical

6

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

8

Pages from-to

153-160

UT code for WoS article

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EID of the result in the Scopus database

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