İkinci Derece Zaman Gecikmeli Sistemler için Analitik PD Denetleyici Tasarımı

Bu yayında ikinci derece zaman gecikmeli sistemlerin kararlılığı ve performansı için oransal türev denetleyicinin analitik tasarımı şeması gösterilmiştir. Bu sistem için Bode’nin ideal transfer fonksiyonunun karakteristiğinden esinlenerek kazanç kesim frekansı ve faz payı gereksinimleri ele alınmıştır. Daha sonra bu gereksinimler denetleyicinin parametrelerini elde etmek için kullanılmıştır. Bu çalışmada önerilen yöntem sözü edilen sistemler için genelleştirilmiş denklemleri vermektedir. Önerilen yöntemle analitik olarak türetilen formüller literatürde var olan sistemler üzerinde denenmiş ve sonuçlar grafiksel olarak gösterilmiştir. Bu ayarlama yönteminin istenen kazanç kesim frekansı ve faz payı özelliklerini sağladığı gösterilmiştir.

Anahtar Kelimeler:

SOPTD sistem, PD denetleyici, kazanç kesim frekansı, faz payı

Analytical Design of PD Controllers for Time Delay Systems in the Second Order

This paper intends to present the design scheme of a Proportional Derivative controller for stability and performance of time delay systems in the second order. Inspired from Bode’s ideal system characteristics, phase margin and gain crossover frequency specifications are considered for the system. Then, these specifications are used to obtain the parameters of the controller. The method proposed in the study achieves general computation equations for mentioned systems. Analytically derived formulas by the proposed method are tested with existing plants in the literature and the results are illustrated graphically. It is shown that the tuning method satisfies desired gain crossover frequency and phase margin specifications.

Keywords:

SOPTD plant, PD controller, gain crossover frequency, phase margin.,

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