On improved delay-dependent robust stabilization of Takagi-Sugeno fuzzy systems with state and input delays
Li Li, Fajun Yu · 2010
This paper investigates the robust delay-dependent stabilization problem for uncertain fuzzy systems with state and input delays which is more general fuzzy model. Taking Leibniz-Newton formula into account, sufficient matrix inequalities conditions for stabilization of such systems are derived via a novel Lyapunov-Krasovskii functional (LKF), which are dependent on the size of the delays and are based on the solutions of linear matrix inequalities (LMIs). Finally, numerical examples are included to show the effectiveness and improvement of the proposed method.