The parametrization of all robust stabilizing modified repetitive controllers for time-delay plants with the specified input-output frequency characteristic

Abstract

The modified repetitive control system is a type of servo mechanism designed for a periodic reference input. Recently, the parametrization of all stabilizing modified repetitive controllers is obtained by Satoh and Yamada. Since the parametrization of all stabilizing modified repetitive controllers is obtained, we can express previous studies of modified repetitive control system in a uniform manner. In addition, a modified repetitive control system can be designed systematically. Yamada, Satoh and Mei pointed out that using the method by Satoh and Yamada, it is complicated to specify the input-output frequency characteristic and gave the parametrization of all robust stabilizing modified repetitive controllers with the specified input-output frequency characteristic. However, the parametrization of all robust stabilizing modified repetitive controllers for time-delay plants with the specified input-output frequency characteristic has not been considered yet. In this paper, for easy to specify the input-output frequency characteristic, we clarify the parametrization of all robust stabilizing modified repetitive controllers for time-delay plants with the specified input-output frequency characteristic. © 2009 IEEE.