Robust H∞ filtering of fuzzy systems with time varying discrete and ditributed delays

This paper is concerned with robust H
∞
filtering for uncertain fuxxy time-delay systems with time varying discrete and distributed delays. Robust filtering conditions and a design method of robust H
∞
filter are given. The time-delay is assumed to be time varying. The parameter uncertainties that come into the system are time varying and describe identification error between a real system and its mathematical model. Our approach employs a lyapunov-Krasovskii functional combined with the parameterized model transformation method and the generalized free weighting matrix method. This generalization leads to a generalized robust H
∞
filtering condition that is given in terms of linear matrix inequalities. Moreover, based on such a condition, a robust H
∞
filtering method for uncertain fuzzy systems with time delays is given. A numerical example is given to illustrate our robust H
∞
filtering methods.