Theoritical Investigation of Disturbance Rejection Performance of PIDA Controllers

Abstract

Proportional Integral Derivative (PID) controllers, which are the most widely used in the field of control and industry, sometimes become insufficient in higher order systems. Proportional Integral Derivative Acceleration (PIDA) controllers were suggested to respond more effectively than PID in high-order systems in some up-to-date references. But, environmental disturbances and internal noise generated by the system can seriously affect PIDA controller performance. In negative unity feedback closed-loop control systems, investigating the Disturbance Rejection Capacity with the Reference to Disturbance Rate (RDR) may contribute disturbance rejection performance. RDR defines the ratio of the output signal and the noise signal of the system. The control of disturbance rejection, proposed in this paper, aims to design a controller that reduces the negative effects of noise on control performance. The paper determines the disturbance rejection performance of PIDA controller designed with Random Search (RS) algorithm in a closed loop feedback system.

Keywords

• PIDA Controller
• Disturbance rejection control
• Random search algorithm

PIDA Denetçilerin Bozucu Dışlama Performansının Teorik İncelenmesi

Öz

Kontrol alanında ve endüstride çok yaygın kullanılan PID denetçiler yüksek dereceli sistemlerde bazen yetersiz kalmaktadırlar. Oransal Integral Türevsel Ivme (Proportional Integral Derivative Acceleration/PIDA) denetçilerin, Oransal Integral Türevsel (Proportional Integral Derivative/PID) denetçiye göre yüksek dereceli sistemlerde daha etkin cevap verdiği bazı güncel çalışmalarda gösterilmiştir. Ancak PIDA denetçilerde de çevresel bozucular ve sistem tarafından oluşturulan iç gürültüler denetçi performansını olumsuz etkileyebilmektedir. Kapalı çevrim kontrol sistemlerinde referansa bozucu oranı (Reference to Disturbance Rate/RDR) ile gürültü bastırma kapasitesinin belirlenmesine, bozucu dışlama etkinliğinin artırılmasına katkı sağlayabilir. RDR indeksi kapalı çevrim kontrol sistemlerinin çıkışında referans giriş sinyalinin eklemsel giriş bozucu sinyale oranını ifade eder. Bu yayında önerilen bozucu bastırma kontrolü, çevresel bozucu etmenlerin denetçi performansı üzerindeki olumsuz etkilerinin azaltılmasını sağlayan bir denetçi tasarımını hedeflenmektedir. Çalışmada kapalı çevirim birim geri beslemeli bir sistemde Rastgele Arama (RandomSearch/RS) algoritması ile tasarlanan PIDA denetçinin bozucu dışlama performansı incelenmiştir.

Anahtar Kelimeler

• PIDA denetçi
• Bozucu dışlayıcı kontrol
• Rastgele arama algorirması

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