Fuzzy modeling method based on Rectangular Pyramid Fuzzy System

A new kind of fuzzy modeling method to construct an approximate solution to a differential equation is proposed in this paper. The proposed method is based on the interpolation mechanism of Rectangular Pyramid Fuzzy System (RPFS) and ends up with a solution to a nonlinear differential equation with variable coefficients. The proposed fuzzy modeling method is applied to model time-invariant second-order freedom movement systems and a new input-output model and a new state-space model are constructed respectively. Simulation results show that the proposed modeling method is effective in approximating the original system.