In this article, we present up to date results on the balanced model reduction techniques for linear control systems, in particular the singular perturbation approximation. One of the most important features of this method is it allows for an a priori L2 and H∞ bounds for the approximation error. This method has been successfully applied for systems with homogeneous initial conditions, however, the main focus in this work is to derive an L2 error bound for singular perturbation approximation for system with inhomogeneous initial conditions, extending the work by Antoulas et al. The theoretical results are validated numerically.

Title

Mathematics

Publisher

MDBI

Publisher Country

France

Indexing

Scopus

Impact Factor

None

Publication Type

Prtinted only

Volume

6

Year

2018

Pages

1-16