Doğru Akım Motoru Hız Kontrolü için SAA Tabanlı Kesir Dereceli PI-PD Eklemeli Denetleyici Tasarımı

Yıl 2024, , 283 - 296, 29.02.2024

Bora Çavdar , Erdinc Sahın , Fatih Nuroglu

https://doi.org/10.2339/politeknik.1139517

Öz

Bu çalışmada doğru akım (DA) motoru hız kontrolünü sağlamak için eklemeli ve kesir dereceli (FOPI-FOPD) denetleyici tasarımı önerilmiştir. Önerilen denetleyici parametreleri son yıllarda geliştirilen Serçe Arama Algoritması (SAA) ile optimize edilmiştir. Denetleyici parametrelerinin aranması için çeşitli amaç fonksiyonları kullanılmıştır. Bu amaç fonksiyonları zamanla çarpılan mutlak hatanın integrali (ITAE), mutlak hatanın integrali (IAE), zamanla çarpılan hatanın karesinin integrali (ITSE), hatanın karesinin integrali (ISE) ve Zwe-Lee Gaing (ZLG) fonksiyonudur. Zaman bölgesinde aşma (M_p), oturma süresi (t_s) ve yükselme süresi (t_r) bakımından kullanılan amaç fonksiyonlarından elde edilen sonuçlar karşılaştırılmıştır. Ayrıca elde edilen sonuçlar frekans bölgesinde kazanç marjı, faz marjı ve bant genişliği açısından incelenmiştir. Zaman ve frekans bölgesinde farklı amaç fonksiyonlarından elde edilen en iyi sonuç literatürdeki çalışmalarla karşılaştırılmıştır. Ayrıca önerilen denetleyicide elde edilen en iyi sonuç için gürbüzlük, bozucu yük ve referans hız değişimi analizleri incelenmiştir.

Anahtar Kelimeler

DA motor hız kontrolü, kesir dereceli denetleyici, SSA, zaman bölgesinde analiz, frekans bölgesinde analiz

SSA-based Fractional Order PI-PD Cascade Controller Design for DC Motor Speed Control

Öz

In this study, a fractional and cascaded controller type FOPI-FOPD is designed to control the DC motor speed. The proposed controller parameters are tuned via Sparrow Search Algorithm (SSA) which is a recently introduced metaheuristic optimization algorithm. Various types of objective functions are employed to search the proposed controller parameters. These objective functions are the integral of time multiply absolute error (ITAE), the integral of absolute error (IAE),the integral of time multiply squared error (ITSE), the integral of squared error (ISE), and Zwe-Lee Gaing (ZLG). The results obtained from the objective functions were compared in the time domain in terms of overshoot (M_p), settling time (t_s), and ramp time (t_r). In addition, the obtained results are examined in terms of gain margin, phase margin, and bandwidth in the frequency domain. The best results obtained from different objective functions in the time and frequency domain were compared with the studies in the literature. In addition, for the best result obtained in the proposed controller, robustness, disturbance load, and reference speed change analysis were examined.

Anahtar Kelimeler

DC motor speed control, fractional order cascade controller, SSA, time domain analysis, frequency domain analysis

Kaynakça

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