Identification of the linear parts of nonlinear systems for fuzzy modeling

  • Authors:
  • Mahmood Rezaei Sadrabadi;M. Hossein Fazel Zarandi

  • Affiliations:
  • Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands;Department of Industrial Engineering, Amirkabir University of Technology, Hafez Av., Tehran, Iran

  • Venue:
  • Applied Soft Computing
  • Year:
  • 2011

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Abstract

In direct approach to fuzzy modeling, structure identification is one of the most critical tasks. In modeling the nonlinear system, this fact is more crucial. In this paper, a new hybrid method is proposed to cluster the data located in the linear parts on the nonlinear systems. The proposed method can partition the input-output data in two groups: data located in the linear parts and data in the extrema. It is shown that the first group of data is suitable to be clustered by Fuzzy C-Regression Model (FCRM) clustering algorithm and the second group by Fuzzy C-Means (FCM). Then, based on the above findings, a new hybrid clustering algorithm is proposed. Finally, the proposed approach is tested and validated by several numerical examples of nonlinear functions.