A comparative study between fractionalized and fractional order PID controllers for control of a stable system based on particle swarm optimization algorithm

• Autorzy: Idir Abdelhakim , Berrabah Fouad , Canale Laurent

Identyfikatory

DOI

10.15199/48.2023.12.16

Warianty tytułu

PL

Badanie porównawcze między sterownikami PID o ułamkowym i ułamkowym porządku do sterowania stabilnym systemem w oparciu o algorytm optymalizacji roju cząstek

• Języki publikacji: EN

Abstrakty

EN

Most industrial applications use integer-order proportional integral derivative (IOPID) controllers due to well-known characteristics such as simplicity and ease of implementation. However, because of their nonlinear nature and the underlying iso-damping feature of fractional-order operators, fractional-order PID (FOPID) and fractionalized-order PID (FrOPID) controllers outperform the IOPID controllers. In this study, three different controllers based on particle swarm optimization are used to regulate a stable system. While a FrOPID controller only has to optimize four parameters and a normal PID controller only needs to optimize three parameters, a FOPID controller requires the optimization of five parameters. Set-point tracking, and better disturbance rejection are obtained with the fractional PID controller, whereas fractionalized PID outperforms the other controllers in terms of noise attenuation.

PL

Większość aplikacji przemysłowych wykorzystuje regulatory IOPID rzędu liczb całkowitych ze względu na dobrze znane cechy, takie jak prostota i łatwość implementacji. Jednak ze względu na ich nieliniowy charakter i leżącą u ich podstaw funkcję izo-tłumienia operatorów ułamkowego rzędu, regulatory PID ułamkowego rzędu (FOPID) i PID ułamkowego rzędu (FrOPID) przewyższają regulatory IOPID. W tym badaniu trzy różne kontrolery oparte na optymalizacji roju cząstek są używane do regulacji stabilnego systemu. Podczas gdy regulator FrOPID musi zoptymalizować tylko cztery parametry, a normalny regulator PID tylko trzy parametry, regulator FOPID wymaga optymalizacji pięciu parametrów. Śledzenie wartości zadanej i lepsze tłumienie zakłóceń uzyskuje się za pomocą ułamkowego regulatora PID, podczas gdy ułamkowy PID przewyższa inne regulatory pod względem tłumienia szumów.

Słowa kluczowe

EN

PID controller; fractionalized PID controller; fractional PID controller; transient response; comparative study

PL

regulator PID; ułamkowy regulator PID; frakcyjny regulator PID; odpowiedź przejściowa; badanie porównawcze

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2023
• Tom: R. 99, nr 12
• Strony: 87--90
• Opis fizyczny: Bibliogr. 26 poz., rys., tab.

Twórcy

autor

Idir Abdelhakim

• Electrical Engineering Department, Mohamed Boudiaf University of M’sila - Algeria
• Applied Automation Laboratory, F.H.C., University of Boumerdes, 35000 Boumerdes, Algeria

• https://orcid.org/0000-0002-3510-5932

autor

Berrabah Fouad

• Electrical Engineering Department, Mohamed Boudiaf University of M’sila - Algeria

• https://orcid.org/0009-0004-3896-5702

autor

Canale Laurent

• CNRS, LAPLACE UMR 5213 Toulouse, France

• https://orcid.org/0000-0003-1097-889X

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki i promocja sportu (2025).