2008 Volume 44 Issue 1 Pages 44-51
This paper proposes a weighted balanced realization and model order reduction for nonlinear systems. This is an extension of a nonlinear balanced realization, which is based on singular value analysis of the nonlinear Hankel operator, to include input and output weights. The proposed method is a natural nonlinear extension of weighted balanced realization for linear systems. Furthermore, it is proved that a reduced order model derived by the proposed procedure is also stable if the original model is so. Finally, the effectiveness of the method is shown by a numerical simulation.