A fuzzy inference modeling method for nonlinear systems by using triangular pyramid fuzzy system
Mingzuo Jiang, Xue-hai Yuan · Journal of Intelligent & Fuzzy Systems · 2017
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.