Abstract

This article addresses the issue of delay-dependent H-infinity filtering design for TakagiSugeno fuzzy time-varying delay systems using the input-output approach. A three-term approximation model has been used to transform the original system into two interconnected subsystems. Since the nonquadratic Lyapunov-Krasovskii functional requires to deal with the membership function's (MF) time derivative, upper-bound inequalities have been added to the obtained conditions. Based on the scaled small gain theorem, nonquadratic Lyapunov-Krasovskii functional approach and considering the bounds of the MF time-derivative, the H-infinity full- and reduced-order filters are designed and then formulated in terms of linear matrix inequalities. Finally, illustrative examples are presented to demonstrate the validity of the proposed methods.