Discrete-time feedback control design on the output regulation problem for a class of linear time-delay systems

In this paper, we study the output regulation problem for a class of continuous-time linear time-delay systems by employing the discrete-time feedback controller. For details, the desired controllers are constructed by using the sampling data of the systems, to this end, we apply the emulation design method and the results under the continuous-time feedback controller. Specially, by introducing an auxiliary controlled system and the elaborate state estimation, we successfully give some sufficient conditions to solve the output regulation problem for the system with the time-varying and derivative-bounded exogenous signal, and both the discrete-time static state feedback controller and discrete-time dynamic error feedback controller are constructed respectively.