Generalized tangential interpolation for model reduction of discrete-time MIMO bilinear systems / Peter Benner, Tobias Breiten, Tobias Damm
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Generalized tangential interpolation for model reduction of discrete-time MIMO bilinear systems
Discovery
870173731
URN
urn:nbn:de:gbv:3:2-63777
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Publication history
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, December 1, 2010
Content
1 Online-Ressource (15 Seiten = 0,83 MB) : Diagramme
Edition
Language
eng
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Abstract
Abstract: In this paper, we discuss a model order reduction method for multiple-input and multiple-output discrete-time bilinear control systems. Similar to the continuous-time case, we will show that a system can be characterized by a series of generalized transfer functions. This will be achieved by a multivariate Z-transform of kernels corresponding to an explicit solution formula for discrete-time systems. We will further address the problem of generalized tangential interpolation which naturally comes along with this approach. We will introduce a reasonable generalization of the linear H2-norm. Based on this concept, we discuss the choice of interpolation points. Furthermore, an efficient discretization of continuous-time systems is provided. The performance of the proposed method is evaluated by means of some numerical examples and compared with the method of balanced truncation for bilinear systems.
Series
Max Planck Institute Magdeburg Preprints ; 10-02 ppn:870173030