Fuzzy-Model-Based Finite Frequency Fault Detection Filtering Design for Two-Dimensional Nonlinear SystemsOACSTPCDEI

This article studies the fault detection filtering design problem for Roesser type two-dimensional(2-D)nonlinear sys-tems described by uncertain 2-D Takagi-Sugeno(T-S)fuzzy mod-els.Firstly,fuzzy Lyapunov functions are constructed and the 2-D Fourier transform is exploited,based on which a finite frequency fault detection filtering design method is proposed such that a residual signal is generated with robustness to external distur-bances and sensitivity to faults.It has been shown that the utiliza-tion of available frequency spectrum information of faults and disturbances makes the proposed filtering design method more general and less conservative compared with a conventional non-frequency based filtering design approach.Then,with the pro-posed evaluation function and its threshold,a novel mixed finite frequency H∞/H_fault detection algorithm is developed,based on which the fault can be immediately detected once the evalua-tion function exceeds the threshold.Finally,it is verified with sim-ulation studies that the proposed method is effective and less con-servative than conventional non-frequency and/or common Lya-punov function based filtering design methods.