Abstract: The reliable robust D-stabilization problem of the delta operator formulated linear uncertain systems is studied.The aim is to design a controller which can tolerate plant uncertainty and actuator failure,such that the poles of the closed-loop system are located in some disk on complex plane.The model of actuator failure is assumed to be continuous.A sufficient condition for the existence of reliable robust D-stabilization controllers is derived via the linear matrix inequality(LMI) approach,and a design procedure of such controllers is presented.Furthermore,a sufficient condition for the existence of reliable robust stabilization controllers is deduced.A numerical example is provided to demonstrate the availability of the design method.