2008 Volume 21 Issue 2 Pages 40-47
In this paper, we propose a model reduction method by truncation of the balanced realization associated with the sine-wave response observability gramian and the controllability gramian. A feature of the present model reduction method is that the transfer function's value of the reduced-order model is equal to that of the original model at some frequency points. This method is also shown to provide the reduced-order model which minimizes an error norm of the model reduction.