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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/ | ||||||||
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| Document Type: | Conference or Workshop Item (Paper) | ||||||||
| Additional Information: | LIDO-Berichtsjahr=2001, | ||||||||
| Title: | Numerical Approach for the Frequency-Weighted Hankel-Norm Approximation | ||||||||
| Authors: |
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| 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 Start Date: | 4 September 2001 | ||||||||
| Event End Date: | 7 September 2001 | ||||||||
| 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: | 24 Apr 2024 18:59 |
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