2D system based iterative learning control for linear singular discrete-time systems

In this paper, iterative learning control (ILC) based on two-dimensional (2D) system theory for a linear singular discrete-time system is considered. By applying the singular 2D linear Roesser's discrete model to describe the ILC process of the system, necessary and sufficient conditions for impulse-free convergence of the proposed ILC rules are given. Ultimately, two numerical examples are given to present the results.