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

This paper is concerned with robust H_infin filtering for uncertain fuzzy time-delay systems with time varying discrete and distributed delays. Robust filtering conditions and a design method of robust H_infin filter are given. The time-delay is assumed to be tune 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_infin filtering condition that is given in terms of linear matrix inequalities. Moreover, based on such a condition, a robust H_infin filtering method for uncertain fuzzy systems with time-delays is given. A numerical example is given to illustrate our robust H_infin filtering methods.