The parametrization of all robust stabilizing repetitive controllers

Authors:	Satoh Keiji, Gunma University, Japan Yamada Kou, Gunma University, Japan
Topic:	2.5 Robust Control
Session:	Robust Controller Synthesis by Norm Minimization
Keywords:	parametrization, robust stability, repetitive controller

Abstract

In this paper, we investigate the parameterization of all robust stabilizing repetitive controllers for single-input/single-output continuous time non-minimum phase systems. The repetitive control system is a type of servo mechanism designed for a periodic reference input. Several papers to design robust stabilizing repetitive control systems have been published. However the parametrization of all robust stabilizing repetitive controllers has not been considered. In this paper, we propose the parametrization of all robust stabilizing repetitive controllers for non-minimum phase systems. Finally, a numerical example is illustrated to show the effectiveness of the proposed parametrization.