Approximation and balanced reduction of non-linear systems by bilinear models

摘要

In this paper, we propose an order model reduction scheme for a class of non-linear systems. The method is based on truncated balanced realisation algorithm mixed with a bilinearisation process of the non-linear system. Our method is an extension of the recently developed Trajectory Piece-Wise-Linear (TPWL) approach which is based on representing the non-linear system with a piece-wise-linear model. The method developed here considers a more general non-linear system for which the input matrix depends on the state.