Aralık değerli tip-2 bulanık PID kontrolörler ve bir çevrimiçi öz-ayarlama mekanizması

Bu çalışmada, Aralık değerli tip-2 bulanık PID (ADT2-BPID) kontrolörlerin içyapıları incelenmiş olup ve de yeni bir öz-ayarlama önerilmiştir. Bu amaçla ilk olarak geleneksel yani tip-1 bulanık PID (T1-BPID) kontrolörler ile ADT2-BPID kontrolörlerin yapısal özellikleri ve tasarım parametreleri incelenmiştir. T1-BPID kontrolörler için önerilmiş olan bir öz-ayarlama yöntemi olan fonksiyon tabanlı öz-ayarlama yöntemi ADT2-BPID kontrolör yapılarına uygulanmıştır. Bu öz ayarlama yöntemi yardımıyla ADT2-BPID kontrolörün ölçekleme çarpanlarının çevrimiçi ayarlanabileceği gösterilmiştir. Önerilen öz-ayarlamalı ADT2-BPID tasarımında sırasıyla T1-BPID, ADT2-BPID kontrolörleri tasarlanmıştır. Benzetim çalışmasında önerilen öz-ayarlamalı yapı tip-1 ve aralık değerli tip-2 eşdeğerleriyle doğrusal olmayan bir konik tank sistemi üzerinde karşılaştırılmıştır. Önerilen öz ayarlamalı ADT2-BPID kontrolör yapısı ile hem ADT2-BPID kontrolör içyapısından gelen fazladan serbestlik derecesi hem de fonksiyon ayarlayıcı tabanlı öz ayarlama yöntemi sayesinde tip-1 bulanık ve tip-2 bulanık eşdeğerlerine kıyasla daha iyi sonuçlar vermiştir.

Anahtar Kelimeler:

Tip-2 bulanık kümeler, Bulanık mantık kontrolör, Öz ayarlama mekanizması

Interval type-2 fuzzy PID controllers and an online self-tuning mechanism

In this study, the general structure of interval type-2 fuzzy PID (IT2-FPID) controllers and a self-tuning mechanism for IT2-FPID controller is presented. In this context, we will present and examine the controller structures of the type-1 fuzzy PID (T1-FPID) and IT2-FPID controllers on a generic a symmetrical 3x3 rule base. Then, an online self-tuning mechanism for IT2-FPID controllers is presented. The presented self-tuning mechanism, which was firstly presented for T1-FPID, controllers, tunes the scaling factors of IT2-FPID with respect to the current error value of the control system. A systematic design approach has been also presented for the self-tuning IT2-FPID structure. The performance of the T1-FPID, IT2-FPID and Self-Tuning IT2-FPID structures has been investigated on a simulation study conducted on a nonlinear tank system. The results have shown that, since the proposed approach has more extra degree of freedom provided by its interval type-2 fuzzy sets and self-tuning mechanism, the self-tuning IT2FPID resulted with a superior control performance in comparison with its type-1 and interval type-2 counterparts.

Keywords:

Type-2 fuzzy sets, Fuzzy logic controllers, Self-tuning mechanism,

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