Affiliations: [a] Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, Liaoning, China
| [b] School of Mathematics and Physics Science, Dalian University of Technology at Panjin, Panjin, Liaoning, China
Correspondence:
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Corresponding author. Xuehai Yuan, School of Mathematics and Physics Science and Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology at Panjin, Panjin 124221, China. Tel.: +86 411 84706542; E-mail: yuanxh@dlut.edu.cn.
Abstract: In this paper, a new fuzzy inference modeling method is proposed for nonlinear systems. A proposed triangular pyramid fuzzy system (TPFS) which is proved to have second-order approximation accuracy is employed in the new modeling method. Based on the interpolation mechanism of TPFS, practical systems (which can be described by a group of fuzzy inference rules) can be converted to a simplified linear model with variable coefficients. Expressions of the time-varying local equations appears significantly simple due to the linearity of the model by using the proposed fuzzy modeling method. The approximation performance superiority of the proposed modeling method is demonstrated by simulation results.
Keywords: Fuzzy inference, fuzzy systems, universal approximation, nonlinear systems
