PID Tuning with Neutrosophic Similarity Measure

Can M. S., Ozguven O. F.

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, cilt.19, sa.2, ss.489-503, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s40815-015-0136-y
  • Dergi Adı: INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.489-503
  • Anahtar Kelimeler: Decision making, Neutrosophic logic, Neutrosophic similarity measure, PID tuning, MULTICRITERIA DECISION-MAKING, INTUITIONISTIC FUZZY-SETS
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, a method for adjusting the proportional-integral-derivative (PID) coefficients based on the neutrosophic similarity measure is proposed. First, rough PID coefficients were determined by the Ziegler-Nichols method, and the upper and lower limit values for the search range of the PID coefficients were determined. At each step of the search range, we applied a unit step function to the system and obtained the transient response characteristics. The obtained values were converted into a neutrosophic set (real set) by using defined membership functions. Then, the optimal PID coefficients were obtained using the similarity ratio between the real and ideal (target) neutrosophic sets. In calculating the similarity ratio, the Hamming, Euclidean, Set-theoretic, Jaccard, and Dice approaches were applied, and the results were compared. Finally, the proposed method was tested on two transfer functions, and it was demonstrated that the proposed method can be used to adjust PID coefficients.