Reliable D-stabilization for a class of linear discrete time-delay systems

The reliable robust D-stabilization problem is studied for a class of linear uncertain discrete time-delay systems subject to actuator failure. A sufficient condition of the existence of reliable robust D-stabilization state feedback controller which can guarantee the poles of the closed-loop system locating in an expected disk on complex plane, is obtained via the linear matrix inequality approach, and a design method is presented. A numerical examples is provided to illustrate the effectiveness of the proposed methods.