On The Expediency and Possibilities of Approximating a Pure Delay Link

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24220%2F22%3A00009298" target="_blank" >RIV/46747885:24220/22:00009298 - isvavai.cz</a>

Výsledek na webu

<a href="http://proceedings.spiiras.nw.ru/index.php/sp/article/view/15095/15047" target="_blank" >http://proceedings.spiiras.nw.ru/index.php/sp/article/view/15095/15047</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.15622/ia.2022.21.2" target="_blank" >10.15622/ia.2022.21.2</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On The Expediency and Possibilities of Approximating a Pure Delay Link

Popis výsledku v původním jazyce

This paper deals with control of object with delay. It is often necessary to approximate a pure delay link with a minimum phase delay. Many approximation methods are based on the Taylor series expansion and modified techniques. The most famous one is the Padé approximation method. However, the known approximation methods have significant drawbacks, which this paper reveals. Other methods of forming different filters can serve as a better approximation in determining the delay relationship, although they are not used for these purposes. In particular, methods of forming the desired differential equation of a locked-loop system of a given order by the method of numerical optimization are known. In this case, the locked-loop system behaves like a filter of the corresponding order, the numerator of which is equal to one, and the specified polynomial is in the denominator. Modeling has shown that such filter is an effective alternative approximation of the delay link and can be used for the same purposes for which it was supposed to use the Padé approximation. The polynomial coefficients in the literature were calculated only up to the 12th order. However, it is clear that the accuracy of the approximation depends on the order of the polynomial used.

Název v anglickém jazyce

On The Expediency and Possibilities of Approximating a Pure Delay Link

Popis výsledku anglicky

This paper deals with control of object with delay. It is often necessary to approximate a pure delay link with a minimum phase delay. Many approximation methods are based on the Taylor series expansion and modified techniques. The most famous one is the Padé approximation method. However, the known approximation methods have significant drawbacks, which this paper reveals. Other methods of forming different filters can serve as a better approximation in determining the delay relationship, although they are not used for these purposes. In particular, methods of forming the desired differential equation of a locked-loop system of a given order by the method of numerical optimization are known. In this case, the locked-loop system behaves like a filter of the corresponding order, the numerator of which is equal to one, and the specified polynomial is in the denominator. Modeling has shown that such filter is an effective alternative approximation of the delay link and can be used for the same purposes for which it was supposed to use the Padé approximation. The polynomial coefficients in the literature were calculated only up to the 12th order. However, it is clear that the accuracy of the approximation depends on the order of the polynomial used.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

20205 - Automation and control systems

Projekt

—

Návaznosti

R - Projekt Ramcoveho programu EK

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

Informatics and Automation

ISSN

2713-3192

e-ISSN

—

Svazek periodika

21

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

RU - Ruská federace

Počet stran výsledku

26

Strana od-do

41-67

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85125221233