Design of PID Controller with Set-point Filter Based on Time Response Specifications for Fractional Order Systems

Year 2024, Volume: 13 Issue: 3, 123 - 135, 31.12.2024

Hasan Sarman , Tufan Doğruer

Abstract

This article addresses the development of a Proportional-Integral-Derivative (PID) controller design and set-point filter based on time response specifications for fractional-order systems. Fractional-order systems are challenging to control using traditional control methods due to the complexity of their dynamic behaviour. In this study, a set-point filter is integrated into the PID controller design to ensure the desired system performance and stability. During the design process, appropriate PID parameters and filter coefficients are determined by considering the system's time response specifications. The article first examines the mathematical models of fractional-order systems using integer-order approximation methods and then determines the PID controller parameters for these systems with an Improved-Grey Wolf Optimization-based optimization algorithm. The proposed approach aims to improve performance criteria such as overshoot, rise time, and settling time based on the desired system response. Simulation results demonstrate the effectiveness of the proposed method in improving system performance. This design approach offers significant potential to control complex systems commonly encountered in industrial applications.

Keywords

Fractional order systems, PID controller, I-GWO algorithm, Optimization, Parameter tuning

Kesirli Dereceli Sistemler İçin Zaman Cevabı Özelliklerine Dayalı Ayar Noktası Filtreli PID Kontrolör Tasarımı

Abstract

Bu makale, kesir dereceli sistemler için zaman tepkisi özelliklerine dayalı Orantılı-İntegral-Türev (PID) kontrolör tasarımı ve ayar noktası filtresinin geliştirilmesini ele almaktadır. Kesirli mertebeden sistemlerin dinamik davranışlarının karmaşıklığı nedeniyle geleneksel kontrol yöntemleri kullanılarak kontrol edilmesi zordur. Bu çalışmada, istenen sistem performansını ve kararlılığını sağlamak için PID kontrolör tasarımına bir ayar noktası filtresi entegre edilmiştir. Tasarım süreci sırasında, sistemin zaman tepkisi özellikleri dikkate alınarak uygun PID parametreleri ve filtre katsayıları belirlenir. Makalede ilk olarak tamsayı dereceli yaklaşım yöntemleri kullanılarak kesir dereceli sistemlerin matematiksel modelleri incelenmekte ve ardından Geliştirilmiş-Gri Kurt Optimizasyonu tabanlı bir optimizasyon algoritması ile bu sistemler için PID kontrolör parametreleri belirlenmektedir. Önerilen yaklaşım, istenen sistem tepkisine dayalı olarak aşma, yükselme süresi ve yerleşme süresi gibi performans kriterlerini iyileştirmeyi amaçlamaktadır. Simülasyon sonuçları, önerilen yöntemin sistem performansını iyileştirmedeki etkinliğini göstermektedir. Bu tasarım yaklaşımı, endüstriyel uygulamalarda sıklıkla karşılaşılan karmaşık sistemleri kontrol etmek için önemli bir potansiyel sunmaktadır.

Keywords

PID kontrolörü, I-GWO algoritması, Optimizasyon, Parametre ayarı, Kesir dereceli sistemler

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