Iterative learning control based on 2D system theory for singular linear continuous-time systems

Abstract

This paper presents iterative learning control (ILC) based on two-dimensional (2D) system theory for singular linear continuous-time systems. It is shown that the singular 2D linear continuous-discrete Roesser's model can be applied to describe the ILC process of singular linear continuous-time systems. Necessary and sufficient conditions are given for impulse-free convergence of the proposed ILC rules. Eventually, two numerical examples are given in order to show the results investigated.