We derive new projection formulas for the model reduction method based on the frequency-weighted Hankel norm approximation (FWHNA). These formulas extend the applicability of the FWHNA method to frequency weights expressed as antistable right/left invertible rational matrices. By computing the projections via the solution of appropriate generalized Sylvester equations, an inversion-free solution of the FWHNA problem is possible. The new projection formulas allows to implement efficiently the FWHNA method as robust numerical L-infinity-norm model reduction problem and indicate how to solve it in the most general setting.
Numerical Approach for the Frequency-Weighted Hankel-Norm Approximation
2001 ; Porto (Portugal)
2001-05-01
Conference paper
Electronic Resource
English
IET Digital Library Archive | 1994
|On Frequency Weighted Balanced Truncation: Hankel Singular Values and Error Bounds
British Library Online Contents | 2001
|ENGINEERING NOTES - Linear System Input-Order Reduction by Hankel Norm Maximization
Online Contents | 2004
|