Structure preserving model order reduction using the projection onto the dominant eigen-space of the Gramian (PDEG)

Recently, second-order-to-second-order structure preserving model order reduction (MOR) has received a lot of attention. One of the most prominent techniques of such MOR is balanced truncation (BT). In general, this method does not preserve some essential properties of the system; such as stability and symmetry. This article discusses a new projection method for structure preserving model reduction of second-order systems via projecting the system onto the dominant eigen-space of the Gramians of the systems. The proposed method preserves the stability and symmetry of the systems. Numerical experiments are discussed to show the efficiency of the proposed technique.