Feedback-aided PD-type iterative learning control using LMI

This paper presents feedback-aided PD-type iterative learning control strategies for discrete-time linear time-invariant systems, where the 2-D Roesser model is derived for the closed-loop system. With the aid of the bounded real lemma, the issue of convergence of the learning algorithm is converted to the problem whether a linear matrix inequality(LMI) is solvable or not. The specific design of the feedback-aided PD-type iterative learning controller can be given by solving the LMI. The design method of a feedback-aided D-type iterative learning controller is also presented. Effectiveness of the learning control strategies of this paper is verified through the numerical results.