Nonfragile H∞ Filtering for Discrete-Time Nonlinear Interconnected Systems

:This paper is concerned with the non-fragile H∞ filtering problem for a class of discrete-time nonlinear interconnected systems with Takagi-Sugeno (T-S) fuzzy model. Attention is focus on the design of a fuzzy filter such that the filtering error system preserves a prescribed H∞ performance, and the filter to be designed is assumed to have gain variations. Sufficient conditions are obtained to ensure that the filtering error system is asymptotically stable with a prescribed H∞ performance level based on the robust control approach. A simulation example is given to show the efficiency of the proposed methods.