Improved finite frequency H_∞ filtering for Takagi-Sugeno fuzzy systems
by Abderrahim El-Amrani; Ahmed El Hajjaji; Ismail Boumhidi; Abdelaziz Hmamed
International Journal of Systems, Control and Communications (IJSCC), Vol. 11, No. 1, 2020

Abstract: This paper investigates the design problem of H_∞ filtering for discrete nonlinear systems in the Takagi-Sugeno (T-S) form. Our aim is to design a new filter guaranteeing an H_∞ performance level in specific finite frequency (FF) ranges. Using the well-known generalised Kalman Yakubovich Popov lemma, Finsler's lemma, sufficient conditions for the existence of H_∞ filters for different FF ranges are proposed and then unified in terms of solving a set of linear matrix inequalities (LMIs). Two examples are given to illustrate the effectiveness and the less conservatism of the proposed approach in comparison with the existing methods.

Online publication date: Thu, 27-Feb-2020

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