Manyetik Levitasyon Sistemleri İçin Ağırlıklı Geometrik Merkez Yöntemi ile PI-PD Kontrolcü Tasarımı

Yıl 2021, Cilt: 62 Sayı: 704, 556 - 579, 22.09.2021

Cem Onat , Mahmut Daşkın , Abdullah Turan , Ömerülfaruk Özgüven

https://doi.org/10.46399/muhendismakina.877649

Cited By: 3

Öz

Manyetik levitasyon sistemleri, mühendislik sistemlerinde sürtünmeyi en aza indiren çözümler sunduğundan, güncel mühendislik çalışmalarına tabidirler. Bu çalışmada, yeni bir PI-PD kontrolcü tasarım prosedürü sunulmuştur. PI-PD kontrolcüleri, bir PI (iç çevrim) ve bir PD (dış çevrim) kombinasyonundan oluşur. İç çevrimin amacı, açık çevrim kararsız sistemi kararlı kılmaktır. Dış çevrimin amacı, kapalı çevrim sisteminin toplam performans gereksinimlerini sağlamaktır. Tasarım prosedürü, kontrolcü parametreleri düzleminde kararlılık sınır eğrisi kullanılarak çizilen kararlı bölgenin elde edilmesine ve bu bölgenin ağırlıklı geometrik merkezinin (AGM) hesaplanmasına dayanır. Tasarım prosedüründe, ilk olarak, iç çevrim için PD kontrolcü parametrelerinin düzlemindeki kararlı bölge ve bunun ağırlıklı geometrik merkezi hesaplanır. İç çevrim, belirtilen AGM kontrol parametreleri kullanılarak tek bir bloğa indirgenir ve ardından prosedür, farklı tasarımlarda faz ve kazanç marjı performans gereksinimlerini uygulayan bir test fonksiyonu kullanılarak dış çevrim PI denetleyicisi için tekrarlanır. Deneysel çalışma, önerilen metodoloji ile tasarlanan PI-PD kontrolcünün literatürde bulunan alternatiflere göre daha üstün performans sergilediğini göstermektedir.

Anahtar Kelimeler

PI-PD kontrol;, kararsız sistem,, maglev;, ağırlıklı geometrik merkez.

Destekleyen Kurum

İnönü Üniversitesi Bilimsel Araştırma Birimi (BAP)

Proje Numarası

FDK-2017-886

Teşekkür

Bu çalışma, İnönü Üniversitesi Bilimsel Araştırma Birimi (BAP) tarafından desteklenmiştir.

PI-PD Controller Design for Magnetic Levitation Systems Via Weighted Geometrical Center Method

Öz

Since magnetic levitation systems offer solutions that minimize friction in engineering systems, they are subject to current engineering studies. In this study, a new PI-PD controller design procedure has been presented. A PI-PD controller consists of a combination of a PI (inner loop) and a PD (outer loop). The purpose of the inner loop is to stabilize the open loop unstable system. The purpose of the outer loop is to provide the total performance requirements of the closed loop system. The design procedure is based on obtaining the stability area plotted using the stability boundary curve in the control parameters plane, and then calculating the weighted geometrical center (WGC) of the stability region. In the design procedure, first, the stable region in the plane of the PD controller parameters for the inner loop and its weighted geometrical center are computed. The inner loop is reduced to a single block by using specified WGC control parameters, and then the procedure is repeated for the outer loop PI controller by using of a test function imposing the phase and gain margin performance requirements in different designs. Experimental study shows that the PI-PD controller, which is designed with the suggested methodology, exhibits superior performance compared to the alternatives available in the literature.

Anahtar Kelimeler

PI-PD controller;, unstable system;, maglev;, weighted geometrical center.

Proje Numarası

FDK-2017-886

Kaynakça

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