A novel iterative learning control design for linear discrete time systems based on a 2D Roesser system

Abstract

This paper is mainly devoted to the iterative learning control (ILC) design for a class of linear discrete time systems. By providing a 2D analysis of the learning process, the ILC design for such systems can be transformed into the problem of state feedback or output feedback control for 2-D systems described by Roesser models. Then, a Lyapunov approach can be used to obtain an ILC law that achieves asymptotical convergence of the tracking error. Sufficient stability conditions are provided in terms of linear matrix inequalities, which can determine learning gains as well. The theoretical results are also verified through simulation tests.

DOI: http://dx.doi.org/10.5755/j01.itc.45.4.13391