Iterative learning control for linear discrete-time systems with iteration-varying initial state and packet loss

Abstract

This paper is concerned with the iterative learning control (ILC) design problem of linear discrete-time systems with iteration-varying initial state and packet loss. First, the iteration-varying initial state and the packet loss is introduced into the ILC process. In addition, the ILC design problem is transformed into a controller design problem of 2-D Roesser model. Next, the asymptotic stability of 2-D Roesser models under orthogonal initial states are investigated. Then, based on the 2-D asymptotic stability, a ILC algorithm is proposed to deal with the iteration-varying initial state and the packet loss. Finally, the effectiveness of the developed ILC algorithm is demonstrated by a simple example with various packet loss rate.