Model reduction of bilinear system using balanced singular perturbation

Abstract

This paper is concerned with generalize model order reduction using the balanced singular perturbation for bilinear system. We first transform the bilinear system to be balanced realization and then we divide the state into the fast and the slow mode. By setting the velocity of the fast mode equal to zeros, we obtain the bilinear system with lower order. To verify the proposed method, the simulation is carried out on a nonlinear RC circuit and the results show that this method is able to approximate a high order model is similar to the balanced truncation method. © 2012 Springer-Verlag.