On the control of discrete linear repetitive processes using previous pass windowed information

Abstract

Summary form only given: A repetitive process makes a series of sweeps or passes through dynamics defined on a finite duration termed the pass length. The process output is termed the pass profile and when each pass is completed, resetting to the starting location occurs before the next pass begins. On each pass the previous pass profile acts as a forcing function on, and hence contributes to, the dynamics produced. The result can be oscillations that increase in amplitude form pass-to-pass and which cannot be controlled by standard control action. There has been a considerable volume of profitable work on the development of a control theory for these processes with more recent focus on the design of control laws. The novel contribution of this paper is a new design algorithm which makes more use of available previous pass profile information and reduces the conservativeness present in existing alternatives.