Abstract
This work is concerned with the problem of finite frequency (FF) filter design in two-dimensional (2D) discrete-time non-linear systems in Takagi-Sugeno (T-S) fuzzy model described by Roesser model. The goal is to find an FF H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> T-S fuzzy filtering design in such a way that the filtering error system is asymptotically stable and has a reduced FF H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> performance over FF areas with noise is established as aprerequisite. Via the use of the generalized Kalman Yakubovich Popov (gKYP) lemma, Lyapunov functions approach, parameterize slack matrices, new design conditions guaranteeing the FF H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> T-S fuzzy filter method of Roesser model 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.
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