Nonfragile H-infinity Filter Design for Nonlinear Continuous-Time System with Interval Time-Varying Delay

This paper investigates nonfragile H-infinity filter design for a class of continuous-time delayed Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delays. Filter parameters occur multiplicative gain variations according to the filter's implementation, to handle this variations, a nonfragile H-infinity filter is presented and a novel filtering error system is established. The nonfragile H-infinity filter guarantees the filtering error system to be asymptotically stable and satisfies given H-infinity performance index. By constructing a novel Lyapunov-Krasovskii function and using the linear matrix inequality (LMI), delay-dependent conditions are exploited to derive sufficient conditions for nonfragile designing H-infinity filter. Using new matrix decoupling method to reduce the computational complexity, the filter parameters can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, numerical examples are given to show the effectiveness of the proposed method.