Fuzzy Wavelet Neural Network Models for Prediction and Identification of Dynamical Systems

Yilmaz S., Oysal Y.

IEEE TRANSACTIONS ON NEURAL NETWORKS, cilt.21, sa.10, ss.1599-1609, 2010 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 10
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1109/tnn.2010.2066285
  • Dergi Adı: IEEE TRANSACTIONS ON NEURAL NETWORKS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1599-1609
  • Anahtar Kelimeler: Fuzzy wavelet neural networks, system identification, time-series prediction, wavelet, wavelet neural networks, PARTICLE SWARM OPTIMIZATION, TIME-SERIES PREDICTION, ALGORITHM, HYBRID
  • Anadolu Üniversitesi Adresli: Evet

Özet

This paper presents fuzzy wavelet neural network (FWNN) models for prediction and identification of nonlinear dynamical systems. The proposed FWNN models are obtained from the traditional Takagi-Sugeno-Kang fuzzy system by replacing the THEN part of fuzzy rules with wavelet basis functions that have the ability to localize both in time and frequency domains. The first and last model use summation and multiplication of dilated and translated versions of single-dimensional wavelet basis functions, respectively, and in the second model, THEN parts of the rules consist of radial function of wavelets. Gaussian type of activation functions are used in IF part of the fuzzy rules. A fast gradient-based training algorithm, i.e., the Broyden-Fletcher- Goldfarb-Shanno method, is used to find the optimal values for unknown parameters of the FWNN models. Simulation examples are also given to compare the effectiveness of the models with the other known methods in the literature. According to simulation results, we see that the proposed FWNN models have impressive generalization ability.