TY - JOUR T1 - Analytical Design of PI Controllers for Second Order plus Time Delay Systems TT - İkinci Derece Zaman Gecikmeli Sistemler için PI Denetleyicilerin Analitik Tasarımı AU - Şenol, Bilal PY - 2019 DA - March DO - 10.29130/dubited.474280 JF - Duzce University Journal of Science and Technology JO - DÜBİTED PB - Duzce University WT - DergiPark SN - 2148-2446 SP - 27 EP - 37 VL - 7 IS - 2 LA - en AB - Analyticaldesign scheme of a Proportional Integral controllers for the stability andperformance of second order plus time delay systems is presented in this paper.The method proposed in the study achieves general computation equations formentioned systems. Inspired from the Bode’s ideal transfer functioncharacteristics, gain crossover frequency and phase margin specifications areconsidered for the system. Then, these specifications are used to obtain theparameters of the controller. Analytically derived formulas by the proposedmethod are tested with existing plants in the literature and the results areillustrated graphically. It is shown that the tuning method satisfies desired gaincrossover frequency and phase margin specifications. KW - Second Order Plus Time Delay Plant KW - PI Controller KW - Bode’s ideal loop N2 - Buçalışmada ikinci dereceden zaman gecikmeli sistemlerin kararlılığı veperformansı için oransal integral denetleyicilerin analitik tasarımıverilmiştir. Çalışmada önerilen yöntem söz konusu sistemler içingenelleştirilmiş hesaplama eşitliklerini elde etmektedir. Bode’nin idealtransfer fonksiyonunun karakteristiklerinden esinlenerek, kazanç kesim frekansıve faz payı şartları göz önüne alınmıştır. Daha sonra, bu şartlar denetleyicininprametrelerini elde etmek için kullanılmıştır. Önerilen yöntemle analitik olantüretilen formüller literatürde var olan sistemler üzerinde test edilmiş vesonuçlar grafiksel olarak sergilenmiştir. 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