Stabilization of Discrete Linear Repetitive Processes with Switched Dynamics

Abstract

Repetitive processes are a distinct class of 2D systems (i.e. information propagation in two independent directions) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or 2D systems theory. Here we give new results on the relatively open problem of the design of physically based control laws. These results are for a sub-class of discrete linear repetitive processes with switched dynamics in both independent directions of information propagation.

Multi-machine operations modelled and controlled as switched linear repetitive processes

“…Note that this problem is an extension of results in, for example, Bochniak et al (2006) where only one switch occurred. Here we consider two switches to illustrate the application of the results in this paper with the note that generalisation to more than this number is routine.…”