Stabilization of Repetitive Control System by Finite Spectrum Assignment Method

Abstract

This paper is concerned with stabilization of modified repetitive control systems with a low-pass filter in the servocompensator. Since the modified repetitive control system is a retarded-type delay system, the finite. spectrum assignment method is applicable for stabilization of the systen. The necessary and sufficient condition for spectral controllability of the modified repetitive control system is presented. A scheme of stabilization by finite spectrum assignment is presented. Furthermore, this stabilization method is applied to repetitive control system for plant with delay.