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H2 Optimal and Frequency Limited Approximation Methods for Large-Scale LTI Dynamical Systems

Pierre, Vuillemin and Poussot-Vassal, Charles and Alazard, Daniel H2 Optimal and Frequency Limited Approximation Methods for Large-Scale LTI Dynamical Systems. (2013) In: 5th Symposium on System Structure and Control (SCCC- IFAC 2013), 4 February 2013 - 6 February 2013 (Grenoble, France).

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Official URL: http://dx.doi.org/10.3182/20130204-3-FR-2033.00061


Model order reduction over a bounded frequency range is more adapted than the standard H2 reduction whenever the entire frequential behaviour of the large-scale model is not needed, which is often the case. However most of the methods that enable to reduce a model on a limited frequency range are based on the use of weights. Yet their determination is often an issue for engineers. That is why, in this paper, two weight-free model approximation algorithms are proposed. They are based on recent algorithms that achieve local H2 optimal model reduction (see Gugercin et al. (2008), Van Dooren et al. (2008) and Gugercin (2007)). The proposed algorithms effciency are validated both on a standard benchmark and on an industrial use case.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Proceedings of the 5th Symposium on System Structure and Control, Series Title: System, Structure and Control, Volume 5, Part 1, Publisher: International Federation of Automatic Control (IFAC), ISBN: 978-3-902823-25-0
Audience (conference):International conference proceedings
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Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA (FRANCE)
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Deposited On:10 Apr 2014 15:10

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