An improved robust stabilization method for discrete-time fuzzy systems with time-varying delays

This note focuses on the robust stabilization of discrete-time fuzzy uncertain systems with time-varying delays under a delayed nonparallel distributed compensation scheme. The key idea is twofold: first, the linear matrix inequalities (LMI) proposed here are shown to generalize some previous similar results available in recent literature, and second, the design of control parameters is decoupled from the proposed fuzzy-basis dependent Lyapunov-Krasovskii functional (FBDLKF) by means of Finsler׳s lemma. Finally, a numerical example is provided to illustrate the effectiveness of this method.