Optimal approximation of analog PID controllers of complex fractional-order

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F23%3APU148148" target="_blank" >RIV/00216305:26220/23:PU148148 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s13540-023-00168-x" target="_blank" >https://link.springer.com/article/10.1007/s13540-023-00168-x</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s13540-023-00168-x" target="_blank" >10.1007/s13540-023-00168-x</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Optimal approximation of analog PID controllers of complex fractional-order

Popis výsledku v původním jazyce

Complex fractional-order (CFO) transfer functions, being more generalized versions of their real-order counterparts, lend greater flexibility to system modeling. Due to the absence of commercial complex-order fractance elements, the implementation of CFO models is challenging. To alleviate this issue, a constrained optimization approach that meets the targeted frequency responses is proposed for the rational approximation of CFO systems. The technique generates stable, {minimum-phase, and real-valued coefficients based approximants}, which are not always feasible for the curve-fitting approach reported in the literature. {Stability and performance studies of the CFO proportional-integral-derivative (CFOPID) controllers for the Podlubny's, the internal model control, and the El-Khazali's forms are considered to demonstrate the feasibility of the proposed technique}. Simulation results highlight that, for a practically reasonable order, all the designs achieve good agreement with the theoretical characteristics. {Performance comparisons with the CFOPID controller approximants determined by the Oustaloup's CFO differentiator based substitution method justify the proposed approach.

Název v anglickém jazyce

Optimal approximation of analog PID controllers of complex fractional-order

Popis výsledku anglicky

Complex fractional-order (CFO) transfer functions, being more generalized versions of their real-order counterparts, lend greater flexibility to system modeling. Due to the absence of commercial complex-order fractance elements, the implementation of CFO models is challenging. To alleviate this issue, a constrained optimization approach that meets the targeted frequency responses is proposed for the rational approximation of CFO systems. The technique generates stable, {minimum-phase, and real-valued coefficients based approximants}, which are not always feasible for the curve-fitting approach reported in the literature. {Stability and performance studies of the CFO proportional-integral-derivative (CFOPID) controllers for the Podlubny's, the internal model control, and the El-Khazali's forms are considered to demonstrate the feasibility of the proposed technique}. Simulation results highlight that, for a practically reasonable order, all the designs achieve good agreement with the theoretical characteristics. {Performance comparisons with the CFOPID controller approximants determined by the Oustaloup's CFO differentiator based substitution method justify the proposed approach.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

Fractional Calculus and Applied Analysis

ISSN

1311-0454

e-ISSN

1314-2224

Svazek periodika

26

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

BG - Bulharská republika

Počet stran výsledku

28

Strana od-do

1566-1593

Kód UT WoS článku

001033237600001

EID výsledku v databázi Scopus

2-s2.0-85160589306