Stabilization of uncertain fuzzy time-delay systems via descriptor system approach

In this paper, we consider the problem of composite state and output feedback fuzzy control design for fuzzy time-delay systems with uncertainties via descriptor system approach. We can solve all the state and output feedback controller gain matrices, and some common positive-definite matrices via the Lyapunov stability theorem and the tool of linear matrix inequalities (LMIs). Two sufficient conditions are derived to stabilize the uncertain fuzzy time-delay systems. A numerical example is given to examine the validity of the proposed scheme.