State feedback compensation for repetitive servo system of DC-DC converter

A simple design procedure is proposed for a stabilizing compensator of a repetitive digital servosystem of a DC-DC converter which follows exactly a periodic reference and eliminates the effects of both synchronous and asynchronous disturbances by repeating control operations. By assigning all poles of the plant designed as a discrete time system at zero and connecting a reverse system of the plant between a repetitive controller and the plant, finite time settling control is carried out. Control errors caused by a disturbance or an inaccurate measurement of the plant parameters can be decreased sufficiently after the first period of repetitive control operation. The control error due to the parameter variation of the plant can also be rapidly suppressed