A RILC method for uncertain system based on LMI technique

We study, in this work, the robust iterative learning control RILC design for uncertain systems. The control law design is based on H∞ concept and tow dimensional 2D theory. A Proportional type, Derivative type and Proportional Derivative type RILC laws will be proposed to achieve the desired performance of repetitive systems. A comparison between the three proposed control laws will be presented. The monotonic convergence and the robust stability will be demonstrated by using this control laws. Based on H∞ concept, sufficient settings for asymptotic convergence of our approaches are presented in terms of LMI (linear matrix inequality). An academic example is presented here to prove the efficiency of the proposed schemes.