Analysis and design of time-variant fuzzy systems based on dynamic fuzzy inference

  • Authors:

  • De-Gang Wang;Wen-Yan Song;Hong-Xing Li

  • Affiliations:

  • School of Electronic and Information Engineering, Dalian University of Technology, Dalian, 116024, PR China;Department of Quantitative Economics, Dongbei University of Finance and Economics, Dalian, 116025, PR China;School of Electronic and Information Engineering, Dalian University of Technology, Dalian, 116024, PR China

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2010

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Abstract

In this paper, a class of time-variant fuzzy systems is designed and analyzed. Firstly, a novel model of dynamic fuzzy inference (DFI) is proposed, and the corresponding DFI method is obtained. Then, the response abilities of time-variant fuzzy systems constructed by the DFI method are analyzed. Some sufficient conditions for time-variant fuzzy systems as step functions, fitted functions and interpolation functions are derived. Furthermore, a sufficient and necessary condition for time-variant fuzzy systems as interpolation functions is also deduced. In addition, the approximation problem of time-variant fuzzy systems is discussed. It is proved that time-variant fuzzy systems constructed by the DFI method are universal approximators to a class of nonlinear systems. In addition, the approximation accuracy of the corresponding time-variant fuzzy systems is investigated. Finally, a simulation experiment is provided to demonstrate how to design a time-variant fuzzy system in order to approximate a given nonlinear system to a desired accuracy.