Model Reduction of Periodic Descriptor Systems Using Balanced Truncation

Abstract Linear periodic descriptor systems represent a broad class of time evolutionary processes in micro-electronics and circuit simulation. In this paper, we consider discrete-time linear periodic descriptor systems and study the concepts of periodic reachability and observability Gramians. We also discuss a lifted representation of periodic descriptor systems and propose a balanced truncation model reduction method for such systems. The behaviour of the suggested model reduction technique is illustrated using a numerical example.