Numerical gridding stability charts estimation using quasi-polynomial approximation for TDS

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F21%3A63540638" target="_blank" >RIV/70883521:28140/21:63540638 - isvavai.cz</a>

Výsledek na webu

<a href="https://ieeexplore.ieee.org/document/9447521" target="_blank" >https://ieeexplore.ieee.org/document/9447521</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/PC52310.2021.9447521" target="_blank" >10.1109/PC52310.2021.9447521</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Numerical gridding stability charts estimation using quasi-polynomial approximation for TDS

Popis výsledku v původním jazyce

The aim of this study is to present and summarize our numerical algorithm for the determination of stability charts in the delay space for linear time-invariant time systems with constant delays (TDS), both retarded and neutral ones. The core of algorithm lies in a successive (iterative) approximation of the infinite-dimensional characteristic quasi-polynomial in each grid node of the delay space. This approximation resulting in a polynomial or an exponential polynomial with commensurate delays is made in the neighborhood of the dominant characteristic value (pole) that has recently been estimated in the closest grid node. Two different approximation techniques are presented; namely, continuous-time and discrete-time ones. A complete numerical example for retarded TDS is presented, whereas the approximation issues are highlighted in another example for neutral TDS. © 2021 IEEE.

Název v anglickém jazyce

Numerical gridding stability charts estimation using quasi-polynomial approximation for TDS

Popis výsledku anglicky

The aim of this study is to present and summarize our numerical algorithm for the determination of stability charts in the delay space for linear time-invariant time systems with constant delays (TDS), both retarded and neutral ones. The core of algorithm lies in a successive (iterative) approximation of the infinite-dimensional characteristic quasi-polynomial in each grid node of the delay space. This approximation resulting in a polynomial or an exponential polynomial with commensurate delays is made in the neighborhood of the dominant characteristic value (pole) that has recently been estimated in the closest grid node. Two different approximation techniques are presented; namely, continuous-time and discrete-time ones. A complete numerical example for retarded TDS is presented, whereas the approximation issues are highlighted in another example for neutral TDS. © 2021 IEEE.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20205 - Automation and control systems

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název statě ve sborníku

PROCESS CONTROL &apos;21 - PROCEEDING OF THE 2021 23RD INTERNATIONAL CONFERENCE ON PROCESS CONTROL (PC)

ISBN

978-1-66540-330-6

ISSN

—

e-ISSN

—

Počet stran výsledku

6

Strana od-do

290-295

Název nakladatele

Institute of Electrical and Electronics Engineers Inc.

Místo vydání

Piscataway, New Jersey

Místo konání akce

Štrbské pleso

Datum konání akce

1. 6. 2021

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000723653400049