Control of discrete linear repetitive processes using non-local previous pass information

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 ready for the start of the next one. On any pass the previous pass profile acts as a forcing function on, and hence contributes to, the dynamics of the next one. 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.