A Novel Piecewise Affine Memory Filtering Design for T-S Fuzzy Affine Systems in Finite Frequency Domain

This paper tackles the problem of piecewise affine (PWA) memory filtering design for discrete-time uncertain T-S fuzzy affine systems in finite frequency domain. It is assumed that the frequency of the disturbances is in a finite frequency domain. The objective is to design an admissible filter using both current and past output measurements of the system to guarantee the asymptotic stability of the filtering error system with a given finite frequency H) performance index. Based on piecewise fuzzy Lyapunov functions, a new sufficient condition for finite frequency H) filtering performance analysis is first derived, and then, the PWA memory filter synthesis is obtained. Finally, simulation studies are given to show the advantages and effectiveness of the proposed approach.