Performance Analysis of Error-Based and User-Defined Objective Functions for a Particle Swarm Optimization Tuned PID Controller with Derivative Filter

Year 2019, Volume: 19 Issue: 3, 682 - 689, 31.12.2019

Erdinç Şahin , Mustafa Şinasi Ayas

https://doi.org/10.35414/akufemubid.520823

Cited By: 2

Abstract

In this study, we
investigate the performance analysis of transient and steady state characteristics
of the commonly used error-based objective functions (EBOF) such as integral of
squared error (ISE), integral of time weighted squared error (ITSE), integral
of absolute error (IAE), and integral of time weighted absolute error (ITAE) and
a user-defined objective function (UDOF). In optimization process, particle
swarm optimization (PSO) algorithm tuned proportional-integral-derivative controller
with derivative filter (PIDF) is employed for a second order plus dead time
(SOPDT) test system. Simulation results shows the superiority of the UDOF in
terms of settling time, overshoot, and settling minimum value compared to EBOFs.

Keywords

Error-based objective functions, User-defined objective functions, Classical PID controller, PSO algorithm, Transient and steady state response analysis

Parçacık Sürü Optimizasyonu Ayarlı Türev Etkisi Filtreli Bir PID Denetleyici için Hata Tabanlı ve Kullanıcı Tanımlı Amaç Fonksiyonlarının Performans Analizi

Abstract

Bu
çalışmada, hatanın karesinin integrali (HKİ), zaman ağırlıklı hatanın karesinin
integrali (ZAHKİ), mutlak hatanın integrali (MHİ) ve zaman ağırlıklı mutlak
hatanın integrali (ZAMHİ) gibi control sistemleri tasarımında sık kullanılan
hata tabanlı amaç fonksiyonları (HTAF) ile kullanıcı tanımlı amaç
fonksiyonlarının (KTAF) geçici ve kalıcı durum tepkilerinin performans analizi
incelenmiştir. Optimizasyon sürecinde, parçacık sürüsü optimizasyonu (PSO)
algoritması tarafından ayarlanan türev etkisi filtreli oransal-integral-türevsel
denetleyici, ikinci dereceden ölü zamanlı bir test sistemi için kullanılmıştır.
Simülasyon sonuçları, KTAF'IN oturma zamanı, aşım ve alt aşım değerlerindeki
üstünlüğünü göstermektedir.

Keywords

Hata tabanlı amaç fonksiyonları, Kullanıcı tanımlı amaç fonksiyonları, Klasik PID denetleyici, PSO algoritması, Kalıcı ve geçici durum analizi

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