Improved filtering H-infinity finite frequency of Takagi-Sugeno fuzzy systems

The work treats the filter H-infinity finite frequency (FF) in Takagi-Sugeno (T-S) two dimensional (2-D) systems described by Fornasini-Marchesini local state-space (FM
LSS) models. The goal of this work is to find an FF H-infinity T-S fuzzy filter model design in such a way that the error system is stable and has a reduced FF H-infinity performance over FF areas with noise is established as a prerequisite. Via the use of the generalized Kalman Yakubovich Popov (gKYP) lemma, Lyapunov functions approach, Finsler’s lemma, and parameterize slack matrices, new design conditions  guaranteeing the FF H-infinity T-S fuzzy filter method of FM LSS models are developed by solving linear matrix inequalities (LMIs). At last, the simulation results are provided to show the effectiveness and the validity of the proposed FF T-S fuzzy of FM LSS models strategy by a practical application has been made.