Internal model principle for time-delay systems of retarded type

Site de la Conférence : http://www.ifac-papersonline.net/System_Structure_and_Control/Third_IFAC_Symposium_on_System_Structure_and_Control__2007_/index.htmlInternational audienceThis papers addresses the internal model principle problem for time-delay systems of retarded type. Based on an algebraic approach, a parametrization of all stabilizing compensators using proper and stable fractions of pseudopolynomials is proposed in a first part. Then, we consider the tracking problem for general plants with bounded uncertainties in the L2 or L∞-induced norms. Namely, we determine a compensator that ensures an asymptotic convergence to zero of the tracking error. The analysis of the structure of a compensator that achieves this objective is addressed