PI CONTROLLER DESIGN FOR TIME DELAY SYSTEMS USING DIFFERENT MODEL ORDER REDUCTION METHODS

Abstract

This study focuses on designing PI controllers for time-delay systems using various model order reduction techniques to reduce complexity. The stability boundary locus method was used to determine PI parameters that stabilizing reduced order models. After the PI parameters have been determined using the weighted geometric center method, the calculated controller parameters have been implemented in the original system. In this way, the efficiency of the controller design is effectively demonstrated through the reduction techniques. In addition, the study investigated the effectiveness of reduction methods with increasing time delay and adding an integrator to the system. The importance of these results is that they demonstrate the use of model order reduction techniques in the design of controllers for time-delay systems and reveal the advantages of these methods.

Keywords

• Time-Delay
• Weighted Geometrical Center
• Model Order Reduction

Farklı Model Derecesi İndirgeme Yöntemleri Kullanılarak Zaman Gecikmeli Sistemler için PI Kontrolör Tasarımı

Abstract

Bu çalışma, karmaşıklığı azaltmak için çeşitli model derecesi azaltma tekniklerini kullanarak zaman gecikmeli sistemlerde PI denetleyicileri tasarlamaya odaklanmıştır. Dereceleri azaltılmış modelleri stabilize eden PI parametrelerini belirlemek için kararlılık sınır eğrisi metodu kullanılmıştır. PI parametreleri ağırlıklı geometrik merkez yöntemi ile elde edildikten sonra, bu kontrolör parametreleri orijinal zaman gecikmeli modellerde uygulanmıştır. Böylece, model derecesi azaltma tekniklerinin uygulanması yoluyla kontrolör tasarımının verimliliği etkili bir şekilde gösterilmiştir. Ayrıca çalışma, artan zaman gecikmesi ve sisteme bir integratör eklenmesi ile model derecesi azaltma yöntemlerinin etkinliğini araştırmıştır. Bu bulguların önemi, zaman gecikmeli sistemlerde kontrolör tasarımında model derecesi azaltma tekniklerinin kullanımının gösterilerek bu yöntemlerin avantajlarının ortaya konmasıdır.

Keywords

• Zaman-Gecikmesi
• Ağırlıklı Geometrik Merkez
• Model Derecesi İndirgeme

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