Polynomial approximation of quasipolynomials based on digital filter design principles

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F16%3A43874809" target="_blank" >RIV/70883521:28140/16:43874809 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-319-33389-2_3" target="_blank" >http://dx.doi.org/10.1007/978-3-319-33389-2_3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-33389-2_3" target="_blank" >10.1007/978-3-319-33389-2_3</a>

Result language
angličtina
Original language name
Polynomial approximation of quasipolynomials based on digital filter design principles
Original language description
This contribution is aimed at a possible procedure approximating quasipolynomials by polynomials. Quasipolynomials appear in linear time-delay systems description as a natural consequence of the use of the Laplace transform. Due to their infinite root spectra, control system analysis and synthe-sis based on such quasipolynomial models are usually mathematically heavy. In the light of this fact, there is a natural research endeavor to design a sufficiently accurate yet simple engineeringly acceptable method that approximates them by polynomials preserving basic spectral information. In this paper, such a procedure is presented based on some ideas of discrete-time (digital) filters designing without excessive math. Namely, the particular quasipolynomial is subjected to iterative discretization by means of the bilinear transformation first; consequently, linear and quadratic interpolations are applied to obtain integer powers of the approximating polynomial. Since dominant roots play a decisive role in the spectrum, interpolations are made in their very neighborhood. A simulation example proofs the algorithm efficiency.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Automation Control Theory Perspectives in Intelligent Systems: Proceedings of the 5th computer science on-line conference 2016. Vol. 3
ISBN
978-3-319-33387-8
ISSN
2194-5357
e-ISSN
—
Number of pages
10
Pages from-to
25-34
Publisher name
Springer-Verlag Berlin
Place of publication
Heidelberg
Event location
on-line
Event date
Apr 27, 2016
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000385788100003

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