Iterative Learning Control for wave linear repetitive processes

Iterative Learning Control (ILC) is one application area for the class of 2D linear systems known as repetitive processes where recently experimental evidence to support the performance possible by this approach has been reported. In this paper, we extend the ILC approach to the class of 2D linear systems that often arise from discretization of partial differential equations and, in particular, spatio-temporal dynamics. Application of ILC scheme to a system with such dynamics adds, in effect, one extra indeterminate (the trial number) to the process description and results in the need to analyze a 3D system. The results developed in this paper are the first on ILC control law design and the performance possible is illustrated by numerical simulations.