Model Matching with Stability for Periodic Discrete-Time Systems

Abstract In this paper the model matching problem with stability is studied for discrete-time periodic systems. It is shown that, under some zeros matching conditions and stabilizability/detectability assumptions, it is possible to assign a target input-output periodic system by means of a periodic controller. Most remarkably, this allows to find conditions under which a periodic system can be converted into a closed-loop time invariant system via periodic control.