Stabilizing controllers design of discrete linear repetitive processes with time-delay

This paper addresses the problem of designing a feedback controller stabilizing discrete linear repetitive processes with time-delay. A stability condition of such a process is derived, and it is equivalent to the feasibility of a certain linear matrix inequality(LMI). The solutions of this LMI, if exist are then used to construct a feasible stabilizing controller. Furthermore, the result of the stabilizing controller is extended to a class of linear discrete state delay repetitive processes with norm-bounded time-varying parameter uncertainty. Simulation results are presented to verify the effectiveness of the proposed design method.