AYRIŞIMA DAYALI ÇOK AMAÇLI EVRİMSEL ALGORİTMA ÜZERİNDEN PID KONTROLCÜ PARAMETRELERİNİN OPTİMİZASYONU

Ali Fazıl Uygur

doi:10.17780/ksujes.1507716

EN TR

OPTIMIZATION OF PID CONTROLLER USING THE MULTI-OBJECTIVE EVOLUTIONARY ALGORITHM BASED ON DECOMPOSITION

Abstract

In control system design, controller parameters need to be adjusted for the controller to show optimum performance. This is usually achieved by solving a “Multi-Objective Optimization Problem” (MOP). In this study, “Proportionality-Integral-Derivative” (PID) controller is considered as the controller and the optimization of the performance objectives selected as the overshoot and rise times of the controller is performed. Although it is possible to adjust the PID parameters by using “Evolutionary Algorithms” (EAs) belonging to the class of population-based optimization algorithms, the computational load of EAs increases when diversity and eliteness are considered for the found solutions. For this reason, an algorithm known as “Decomposition-Based Multi-Objective Evolutionary Algorithm” (MOEA/D) has been preferred instead of EAs for the solution of the optimization problem. With this algorithm, the MOP is addressed by decomposing it into a certain number of single-objective sub-problems over scalarization functions based on the Tchebycheff decomposition. Therefore, instead of a single optimum solution, a set of “Pareto Optimal” (PO) solutions is reached. In this study, the performances of the DC-DC buck converter were evaluated using PID controllers with PO parameter sets obtained with the help of MOEA/D.

Keywords

AYRIŞIMA DAYALI ÇOK AMAÇLI EVRİMSEL ALGORİTMA ÜZERİNDEN PID KONTROLCÜ PARAMETRELERİNİN OPTİMİZASYONU

Öz

Kontrol sistemleri tasarımında, kontrolcünün optimum performans göstermesi için, kontrolcü parametrelerinin ayarlanması gerekir. Bu da genellikle bir “Çok Amaçlı Optimizasyon Problemi” (ÇOP)’un çözümüyle gerçekleşir. Bu çalışmada kontrolcü olarak “Orantı-İntegral-Türev” (PID) kontrolcü göz önüne alınmış ve kontrolcünün aşım ve yükselme zamanı olarak seçilen performans amaçlarının optimizasyonu gerçekleştirilmiştir. Her ne kadar popülasyon tabanlı optimizasyon algoritmaları sınıfına ait “Evrimsel Algoritma” (EA)’lar kullanılarak, PID parametrelerinin ayarlanması mümkün olsa da bulunan çözümler için çeşitlilik ve seçkinliğin gözetilmesi halinde EA’ların hesap yükü artmaktadır. Bu sebeple optimizasyon probleminin çözümü için EA’lar yerine “Ayrışıma Dayalı Çok Amaçlı Evrimsel Algoritma” (ÇAEA/A) olarak bilinen bir algoritma tercih edilmiştir. Bu algoritma ile, ÇOP, Tchebycheff ayrışımına dayalı skalerleştirme fonksiyonları üzerinden belli sayıda tek amaçlı alt problemlere ayrıştırılmak suretiyle ele alınmaktadır. Dolayısıyla tek bir optimum çözüm yerine “Pareto Optimal” (PO) çözümler kümesine ulaşılmaktadır. Yapılan çalışmada ÇAEA/A yardımıyla elde edilen PO parametre setlerine sahip PID kontrolcüler kullanılarak DC-DC Azaltan dönüştürücünün sergilediği performanslar değerlendirilmiştir.

Anahtar Kelimeler

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Details

Primary Language

Turkish

Subjects

Electrical Engineering (Other)

Journal Section

Research Article

Authors

Ali Fazıl Uygur ^*
0000-0002-1049-4927
Türkiye

Publication Date

September 3, 2025

Submission Date

June 30, 2024

Acceptance Date

July 11, 2025

Published in Issue

Year 2025 Volume: 28 Number: 3

DOI

https://doi.org/10.17780/ksujes.1507716

IZ

https://izlik.org/JA79UD53AK

Cite

RIS / Bibtex

APA

Uygur, A. F. (2025). AYRIŞIMA DAYALI ÇOK AMAÇLI EVRİMSEL ALGORİTMA ÜZERİNDEN PID KONTROLCÜ PARAMETRELERİNİN OPTİMİZASYONU. Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi, 28(3), 1143-1158. https://doi.org/10.17780/ksujes.1507716