Iterative learning control for uncertain time-delay linear system

In this note, a repetitive learning control (RLC) approach is proposed to deal with periodic tracking tasks for uncertain time-varying delay systems. The design of an open-close loop P type iterative learning controller is studied for uncertain time-varying delay systems. The design procedure is based upon obtaining the sufficient condition of convergence by Lyapunov theory, an iterative learning law is obtained by resolving linear matrix inequalities (LMI).