Radek MATUSU, Bilal ŞENOL, Uğur DEMİROĞLU

İkinci derece zaman gecikmeli modeller için kesir dereceli oransal-integral denetleyici tasarımında analitik yaklaşım

Bu yayın, ikinci derece zaman gecikmeli modellerin kararlılık ve dayanıklı performansı için kesir dereceli oransal-integral denetleyicinin adım adım tasarımına odaklanmaktadır. Analitik olarak elde edilmiş denklemler genelleştirilmiştir ve söz konusu modeller için kullanılabilir. Yöntemin ana hedefi, Bode çizimindeki kazanç ve faz kesim frekansları arasında kalan faz eğrisini düzleştirmektir. Bu şekilde, kazanç değişimlerine karşı dayanıklılık sağlanacaktır. Bunun yanısıra, tüm sistemin kararlılığı temin edilecektir. Tasarım aşamasında, literatürde var olan çalışmaların aksine sadece kazanç kesim frekansı değil, kazanç ve faz kesim frekanslarının her ikisi de ele alınmıştır. Ayrıca, faz düzleştirme işlemi faz türevinin sıfıra eşitlenmesi ile sağlanmamıştır. Bu yayın, probleme farklı bir bakış açısı getirmektedir. İki farklı denetleyici hesaplanmıştır. İlk denetleyici, istenen kazanç kesim frekansı ve faz payı özelliklerini sağlamaktadır. İkinci ise faz kesim frekansı ve kazanç payını temin etmektedir. Daha sonra bu denetleyiciler bağlanmıştır ve her iki durumu da sağlayan tek bir denetleyici elde edilmiştir. Önerilen denklemler, literatürden iki farklı model üzerine uygulanmış ve sonuçlar grafiksel olarak verilmiştir.

Anahtar Kelimeler:

SOPTD model, FOPI denetleyici, analitik tasarım, frekans özellikleri, BODE’nin ideal çevrimi

Analytical approach on the design of fractional order proportional-integral controller for second order plus time delay models

Keywords:

SOPTD plant, FOPI controller, analytical design, frequency properties, BODE’s ideal loop,

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