Fractional order PD controller design for third order plants including time delay

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F23%3A63570700" target="_blank" >RIV/70883521:28140/23:63570700 - isvavai.cz</a>

Výsledek na webu

<a href="https://jag.journalagent.com/pajes/pdfs/PAJES-09158-RESEARCH_ARTICLE-SENOL.pdf" target="_blank" >https://jag.journalagent.com/pajes/pdfs/PAJES-09158-RESEARCH_ARTICLE-SENOL.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.5505/pajes.2022.09158" target="_blank" >10.5505/pajes.2022.09158</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Fractional order PD controller design for third order plants including time delay

Popis výsledku v původním jazyce

Due to the lack of integral operator, proportional derivative controllers have difficulties in providing stability and robustness. This difficulty especially felt in higher order systems. In this publication, analytical design method of fractional proportional derivative controllers presented to ensure the stability of third order systems with time delay. In this method, it is aimed to achieve the frequency characteristics of standard control system to ensure stability. It is aimed to provide the desired gain crossover frequency, phase crossover frequency and phase margin properties of the system. In this way, the stability and robustness of the system can be obtained by choosing the appropriate values. The reason for choosing a fractional order controller is that the controller parameters to provide these features can be tuned more accurately. order for the obtained stability to be robust to unexpected external effects, it is aimed to flatten the system phase. In the literature, phase flattening is performed by setting the phase derivative to zero at specified frequency value. This can lead to mathematical complexity. this publication, the phase flattening process is provided graphically by correctly selecting the frequency characteristics given above. Thus, an accurate and reliable controller design method is presented, avoiding mathematical complexity. The effectiveness of the proposed method has been demonstrated on three different models selected from the literature. The positive contribution of the method to the system robustness has been proven by changing the system gain at certain rates.

Název v anglickém jazyce

Fractional order PD controller design for third order plants including time delay

Popis výsledku anglicky

Due to the lack of integral operator, proportional derivative controllers have difficulties in providing stability and robustness. This difficulty especially felt in higher order systems. In this publication, analytical design method of fractional proportional derivative controllers presented to ensure the stability of third order systems with time delay. In this method, it is aimed to achieve the frequency characteristics of standard control system to ensure stability. It is aimed to provide the desired gain crossover frequency, phase crossover frequency and phase margin properties of the system. In this way, the stability and robustness of the system can be obtained by choosing the appropriate values. The reason for choosing a fractional order controller is that the controller parameters to provide these features can be tuned more accurately. order for the obtained stability to be robust to unexpected external effects, it is aimed to flatten the system phase. In the literature, phase flattening is performed by setting the phase derivative to zero at specified frequency value. This can lead to mathematical complexity. this publication, the phase flattening process is provided graphically by correctly selecting the frequency characteristics given above. Thus, an accurate and reliable controller design method is presented, avoiding mathematical complexity. The effectiveness of the proposed method has been demonstrated on three different models selected from the literature. The positive contribution of the method to the system robustness has been proven by changing the system gain at certain rates.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

20205 - Automation and control systems

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

Pamukkale University Journal of Engineering Sciences-Pamukkale Universitesi Muhendislik Bilimleri Dergisi

ISSN

1300-7009

e-ISSN

2147-5881

Svazek periodika

29

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

TR - Turecká republika

Počet stran výsledku

7

Strana od-do

289-295

Kód UT WoS článku

001018927800009

EID výsledku v databázi Scopus

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