The parametrization of all stabilizing multi-period repetitive controllers with the specified frequency characteristics

Authors:	Satoh Keiji, Gunma University, Japan Yamada Kou, Gunma University, Japan Kowada Makoto, Gunma University, Japan
Topic:	2.2 Linear Control Systems
Session:	Analysis and Synthesis of Linear Control Systems II
Keywords:	repetitive control, multi-period repetitive controller, parametrization, low-pass filter

Abstract

The parametrization of all stabilizing multi-period repetitive controllers, those are used to improve the disturbance attenuation characteristics of the repetitive controller, for non-minimum phase systems was solved by K. Yamada, K. Satoh and T. Arakawa. However, when we design a stabilizing modified repetitive controller using the parametrization by K. Yamada, K. Satoh and T. Arakawa, the frequency characteristics of the control system cannot be settled so easily. In this paper, we expand the result by K. Yamada, K. Satoh and T. Arakawa and propose the parametrization of all stabilizing multi-period repetitive controllers with the specified frequency characteristics. A numerical example is shown to illustrate the effectiveness of the proposed parametrization.