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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:
AuthorsInstitution or Email of Authors
Varga, AndrasUNSPECIFIED
Anderson, Brain D.O.Australian National University, Canberra
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:other
HGF - Program Themes:other
DLR - Research area:Aeronautics
DLR - Program:L - no assignement
DLR - Research theme (Project):L -- no assignement
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics
Deposited By: elib DLR-Beauftragter
Deposited On:13 Mar 2006
Last Modified:12 Dec 2013 20:02

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