Filtering of interval type-2 fuzzy time-delay systems under a unified frame

This study investigates the problems of filter design for nonlinear time-delay systems with parameter uncertainties under a unified frame. The nonlinear systems subjected to parameter uncertainties are represented by an interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy time-delay model. A novel IT2 fuzzy filter is designed by establishing a Lyapunov-Krasovskii function, so that the filtering error system can guarantee the passive, dissipative, H-infinity and L-2 - L-infinity performance indexes under a unified frame. The proposed criterion is presented via linear matrix inequalities (LMIs). Two numerical examples are given to demonstrate the capability of the suggested results.