Abstract: — The problem of H ∞ filtering design for a class of nonlinear systems with time-delay via Takagi-Sugeno fuzzy models is investigated in this paper. Sufficient conditions for the existence of a stable nonlinear filter assuring global asymptotic stability and a prescribed H ∞ noise attenuation level to the filtering error are established in terms of linear matrix inequalities. Moreover, it is shown how to consider the proposed approach to deal with uncertain parameters or systems without delay. Finally, a discrete-time nonlinear system with time-delay is investigated as a numerical example
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