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Accuracy Enhancing Methods for the Frequency-Weighted Balancing Related Model Reduction
Varga, Andras and Anderson, Brain D.O. (2001) Accuracy Enhancing Methods for the Frequency-Weighted Balancing Related Model Reduction. In: Proc. of CDC 2000. 40th IEEE Conference on Decision and Control, 2001-12-04 - 2001-12-07, Orlando, Florida (USA).
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Abstract
In this paper we propose an effcient computational approach to minimize the H-infinity-norm of a transfer-function matrix depending affinely on a set of free parameters. The minimization problem, formulated as a semiinfinite convex programming problem, is solved via a relaxation approach over a finite set of frequency values. In this way, a significant speed up is achieved by avoiding the solution of high order LMIs resulting by equivalently formulating the minimization problem as a high dimensional semidefinite programming problem. Numerical results illustrate the superiority of proposed approach over LMIs based techniques in solving zero order H1-norm approximation problems.
| Document Type: | Conference or Workshop Item (Paper) | ||||||
|---|---|---|---|---|---|---|---|
| Additional Information: | LIDO-Berichtsjahr=2001, | ||||||
| Title: | Accuracy Enhancing Methods for the Frequency-Weighted Balancing Related Model Reduction | ||||||
| Authors: |
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| Date: | November 2001 | ||||||
| Journal or Publication Title: | Proc. of CDC 2000 | ||||||
| Status: | Published | ||||||
| Keywords: | model reductio, Hankel-Norm, approximation, frequency-weighting, numerical methods | ||||||
| Event Title: | 40th IEEE Conference on Decision and Control | ||||||
| Event Location: | Orlando, Florida (USA) | ||||||
| Event Type: | international Conference | ||||||
| Event Dates: | 2001-12-04 - 2001-12-07 | ||||||
| HGF - Research field: | Aeronautics, Space and Transport | ||||||
| HGF - Program: | Aeronautics | ||||||
| HGF - Program Themes: | L - no assignement | ||||||
| DLR - Research area: | Aeronautics | ||||||
| DLR - Program: | L - no assignement | ||||||
| DLR - Research theme (Project): | ["eprint_fieldopt_dlr_project_search_L000" not defined] | ||||||
| Location: | Oberpfaffenhofen | ||||||
| Institutes and Institutions: | Institute of Robotics and Mechatronics | ||||||
| Deposited By: | elib DLR-Beauftragter | ||||||
| Deposited On: | 13 Mar 2006 | ||||||
| Last Modified: | 14 Jan 2010 17:57 |
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