Synthesis of a robust H∞ fuzzy filter for uncertain nonlinear dynamical systems

This paper considers the problem of designing a robust fuzzy filter for a TS fuzzy system with parametric uncertainties that the guarantees the L2-gain from an exogenous input to an estimate error output being less than or equal to a prescribed value. Sufficient conditions for the existence of the H∞ fuzzy filter are given in terms of a set of LMIs. In this paper, the premise variables of the H∞ fuzzy filter are allowed to be different from the premise variables of the TS fuzzy model of the plant such that the results are shown into two cases which are the premise variable of the fuzzy model be measurable and the premise variable assumed to be unmeasurable.