PID Parametrelerinin LQR ve GA Tabanlı Optimizasyonu: Sıvı Seviye Kontrol Uygulaması

Öz

Bu çalışmada iki farklı metot kullanılarak PID parametre ayarlaması yapılmıştır. İlk olarak Doğrusal Karesel Düzenleyici (LQR) yaklaşımı kullanılarak maliyet fonksiyonu minimize edilmiş ve optimal parametreler elde edilerek LQR tabanlı PID denetleyici tasarlanmıştır. Ardından LQR maliyet fonksiyonunun minimizasyonu için Genetik Algoritma (GA) kullanılmış ve GA tabanlı PID denetleyici tasarlanmıştır. Tasarlanan PID denetleyiciler bir sıvı seviye kontrol sisteminde benzetimsel ve deneysel olarak test edilmiş ve performans karşılaştırmaları yapılmıştır. Deneysel sonuçlar, GA tabanlı PID'nin performansının LQR tabanlı PID'den performans indisleri açısından daha başarılı olduğunu göstermektedir. GA Tabanlı PID için normalize edilmiş ITSE indisi 0.6479 ile daha başarılı performans sergilemiştir.

Anahtar Kelimeler

• Doğrusal Karesel Düzenleyici,PID Ayarlama,Genetik Algoritma

LQR and GA based PID Parameter Optimization: Liquid Level Control Application

Öz

In this study, PID parameter tuning was made by using two different methods. Firstly, LQR based PID controller is designed by minimizing the cost function by obtaining Linear Quadratic Regulator (LQR) approach. Then Genetic Algorithm (GA) was used for minimizing the LQR cost function and GA based PID controller was designed. The designed PID controllers have been simulated and experimentally tested in a liquid level control system and performance comparisons have been made. Experimental results show that the performance of the GA based PID is better than LQR based PID in terms of performance indices. Normalized ITSE index of 0.6479 is achieved for better performing GA based PID.

Anahtar Kelimeler

• Linear quadratic regulator,PID tuning,genetic algorithm

Kaynakça

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