Fuzzy weighting-dependent approach to robust L2-L∞L2-L∞ filter design for delayed fuzzy systems

The problem of fuzzy robust L2-L∞L2-L∞ filtering for a class of delayed Takagi–Sugeno fuzzy systems is investigated in the paper. Attention is focused on the design of a fuzzy filter ensuring both the robust stability and a prescribed L2-L∞L2-L∞ performance level of the filtering error system. The weighting-dependent approach is adopted and delay-dependent sufficient conditions for the solvability of the problem are obtained in terms of linear matrix inequalities. A simulation example is provided to demonstrate the effectiveness of the proposed method.