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Numerical Approach for the Frequency-Weighted Hankel-Norm Approximation

Varga, Andras (2001) Numerical Approach for the Frequency-Weighted Hankel-Norm Approximation. In: Proc. of ECC 2001. European Control Conference 2001, 2001-09-04 - 2001-09-07, Porto (Portugal).

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Abstract

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.

Item URL in elib:https://elib.dlr.de/11738/
Document Type:Conference or Workshop Item (Paper)
Additional Information:LIDO-Berichtsjahr=2001,
Title:Numerical Approach for the Frequency-Weighted Hankel-Norm Approximation
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Varga, AndrasUNSPECIFIEDUNSPECIFIED
Date:May 2001
Journal or Publication Title:Proc. of ECC 2001
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:model reduction, frequency-weighting, Hankel-Norm, approximation, numerical methods
Event Title:European Control Conference 2001
Event Location:Porto (Portugal)
Event Type:international Conference
Event Dates:2001-09-04 - 2001-09-07
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Systems & Cabin (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics (until 2012)
Deposited By: DLR-Beauftragter, elib
Deposited On:09 Mar 2006
Last Modified:31 Jul 2019 19:15

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