A new fuzzy robust H∞ filtering for nonlinear systems with time-varying delays

This paper focuses on the problem of H_∞ filter design for nonlinear systems with norm-bounded parameter uncertainties and time-varying delays via Takagi-Sugeno fuzzy model approach. This is achieved through constructing new Lyapunov-Krasovskii functionals and introducing free-weighting matrix method combined with a matrix decoupling approach. A sufficient condition for the existence of such a filter is established by using the linear matrix inequality (LMI) approach. Finally, an example is given to demonstrate the effectiveness.