Balanced model order reduction method for systems depending on a parameter

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Title:	Balanced model order reduction method for systems depending on a parameter
Author:	Batlle Arnau, Carles; Roqueiro, Nestor
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. ACES - Control Avançat de Sistemes d'Energia
Abstract:	We provide an analytical framework for balanced realization model order reduction of linear control systems which depend on an unknown parameter. Besides recovering known results for the first order corrections, we obtain explicit novel expressions for the form of second order corrections for singular values and singular vectors. The final result of our procedure is an order reduced model which incorporates the uncertain parameter. We apply our algorithm to a system of masses and springs with parameter dependent coefficients.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics -Algorithms -Distributed parameter systems -Model reduction -Singular value decomposition -Uncertain linear systems -Algorismes -Sistemes de paràmetres distribuïts
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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