The Revision and Extension of the RMS Ring for Time Delay Systems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F17%3A63517003" target="_blank" >RIV/70883521:28140/17:63517003 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.degruyter.com/downloadpdf/j/bpasts.2017.65.issue-3/bpasts-2017-0038/bpasts-2017-0038.pdf" target="_blank" >https://www.degruyter.com/downloadpdf/j/bpasts.2017.65.issue-3/bpasts-2017-0038/bpasts-2017-0038.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/bpasts-2017-0038" target="_blank" >10.1515/bpasts-2017-0038</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The Revision and Extension of the RMS Ring for Time Delay Systems

Popis výsledku v původním jazyce

Zítek and Kučera [1] introduced the ring of retarded quasipolynomial meromorphic functions (RMS), as a convenient control design tool for linear time-invariant time delay systems (TDS). The idea and parlance of this algebraic structure have been the cornerstone of the authors’ recent research on TDS. However, it has been found that the original definition does not constitute a ring and has some essential deficiencies, and hence it could not be used for an algebraic control design without a thorough reformulation which i.a. extends the usability to neutral TDS and to those with distributed delays. This contribution summarizes the original definition of RMS, simply highlights its deficiencies via examples and suggests a possible new extended definition. Hence, the new ring of quasipolynomial meromorphic functions (RQM) is established to avoid confusion. The paper also investigates and introduces selected algebraic properties supported by some illustrative examples and concisely outline its use when controller designing.

Název v anglickém jazyce

The Revision and Extension of the RMS Ring for Time Delay Systems

Popis výsledku anglicky

Zítek and Kučera [1] introduced the ring of retarded quasipolynomial meromorphic functions (RMS), as a convenient control design tool for linear time-invariant time delay systems (TDS). The idea and parlance of this algebraic structure have been the cornerstone of the authors’ recent research on TDS. However, it has been found that the original definition does not constitute a ring and has some essential deficiencies, and hence it could not be used for an algebraic control design without a thorough reformulation which i.a. extends the usability to neutral TDS and to those with distributed delays. This contribution summarizes the original definition of RMS, simply highlights its deficiencies via examples and suggests a possible new extended definition. Hence, the new ring of quasipolynomial meromorphic functions (RQM) is established to avoid confusion. The paper also investigates and introduces selected algebraic properties supported by some illustrative examples and concisely outline its use when controller designing.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20205 - Automation and control systems

Projekt

<a href="/cs/project/ED2.1.00%2F19.0376" target="_blank" >ED2.1.00/19.0376: CEBIA - Tech Instrumentation</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 periodika

Bulletin of the Polish Academy of Sciences: Technical Sciences

ISSN

0239-7528

e-ISSN

—

Svazek periodika

65

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

PL - Polská republika

Počet stran výsledku

10

Strana od-do

341-350

Kód UT WoS článku

000404972400007

EID výsledku v databázi Scopus

2-s2.0-85027503087