Abstract
This paper is concerned with the design of an iterative learning control (ILC) law, which is developed to improve the tracking performance of a class of switched repetitive systems with time-varying delay. Firstly, the ILC scheme is introduced and a two-dimensional (2D) switched model is proposed to describe the switched repetitive system. Secondly, sufficient conditions for the exponential stability with $${l_2}$$l2-gain performance of the 2D switched system are derived by choosing a Lyapunov---Krasovskii functional. The ILC gains are then obtained by solving a set of linear matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed results.
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