Enhanced TDS Stability Analysis Method via Characteristic Quasipolynomial Polynomization

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F17%3A63517004" target="_blank" >RIV/70883521:28140/17:63517004 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/chapter/10.1007/978-3-319-57264-2_3" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-319-57264-2_3</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-319-57264-2_3" target="_blank" >10.1007/978-3-319-57264-2_3</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Enhanced TDS Stability Analysis Method via Characteristic Quasipolynomial Polynomization

Popis výsledku v původním jazyce

Time delay systems own infinite spectra which cannot be simply ana-lyzed or controlled. A way how to deal with this task consists of an approximation of the characteristic quasipolynomial by a polynomial that can be further handled via conventional tools. This contribution is aimed at an improved extrapolation method transforming a retarded quasipolynomial into a corresponding polyno-mial. It is equivalent to the finding of a finite-dimensional model related to an infinite-dimensional one describing a time delay system. The approximating pol-ynomial is then used to analyze the dependence of delay values to exponential stability of the system. Two ideas are adopted and compared here; namely, a lin-ear interpolation method via the Regula Falsi method, and the root Newton’s method with root tendency. The whole procedure is simply implementable by using standard software tools. To demonstrate this issue, a numerical example performed in MATLAB®&amp;Simulink® environment is given to the reader.

Název v anglickém jazyce

Enhanced TDS Stability Analysis Method via Characteristic Quasipolynomial Polynomization

Popis výsledku anglicky

Time delay systems own infinite spectra which cannot be simply ana-lyzed or controlled. A way how to deal with this task consists of an approximation of the characteristic quasipolynomial by a polynomial that can be further handled via conventional tools. This contribution is aimed at an improved extrapolation method transforming a retarded quasipolynomial into a corresponding polyno-mial. It is equivalent to the finding of a finite-dimensional model related to an infinite-dimensional one describing a time delay system. The approximating pol-ynomial is then used to analyze the dependence of delay values to exponential stability of the system. Two ideas are adopted and compared here; namely, a lin-ear interpolation method via the Regula Falsi method, and the root Newton’s method with root tendency. The whole procedure is simply implementable by using standard software tools. To demonstrate this issue, a numerical example performed in MATLAB®&amp;Simulink® environment is given to the reader.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20205 - Automation and control systems

Projekt

<a href="/cs/project/LO1303" target="_blank" >LO1303: Podpora udržitelnosti a rozvoje Centra bezpečnostních, informačních a pokročilých technologií (CEBIA-Tech)</a><br>

Návaznosti

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

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název statě ve sborníku

CYBERNETICS AND MATHEMATICS APPLICATIONS IN INTELLIGENT SYSTEMS, CSOC2017, VOL 2 Book Series: Advances in Intelligent Systems and Computing

ISBN

978-3-319-57264-2

ISSN

2194-5357

e-ISSN

neuvedeno

Počet stran výsledku

10

Strana od-do

20-29

Název nakladatele

Springer International Publishing AG

Místo vydání

Cham

Místo konání akce

Zlín

Datum konání akce

26. 4. 2017

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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