Output regulation, tracking and nominal decoupling with stability for uncertain linear periodic systems

In this paper uncertain linear periodic discrete-time systems are considered, for obtaining the row-by-row reference-output decoupling with stability at the nominal parameters, together with the asymptotic tracking and output regulation in a neighbourhood of the nominal parameters, for classes of exponential-polynomial reference signals and exponential disturbance functions. By-using the periodic version of the internal model principle, the necessary and sufficient conditions for the existence of a solution are given, and a design procedure for the dynamic compensator is proposed.