Robust control of uncertain time-delay systems with saturating actuator

The robust stabilization problem for a class of uncertain linear time-delay systems with saturating actuator is considered. The uncertainties are time-varying but norm bounded. Based on an appropriate Lyapunov functional and descriptor model transform, sufficient condition is given, which can guarantee the closed-loop system asymptotically stable. And a delay-dependent controller is designed in terms of matrix inequalities which becomes linear whenever an unknown scalar variable is chosen a priori. Finally, numerical example is given to demonstrate the effectiveness of the proposed method.