Application of the internal model control method for the stability study of uncertain sampled systems

In this paper, we propose new approaches to the control of uncertain and sampled systems. The stability study of this class system is based on the schur and Kharitonov theorems. We propose to apply the approach of the internal model control for the uncertain parametric uncertainty sampled system. In addition, the strategy of internal multi-model control is proposed. This second approach uses as internal model the four Kharitonov models. The control structure principle is based on switching between different models to choose the one with the minimum error. To validate these methods, simulation results are presented.