Extracting Second-Order Structures from Single-Input State-Space Models: Application to Model Order Reduction

Authors:
JéEaréOcme Guillet;Benjamin Mourllion;Abderazik Birouche;Michel Basset
Affiliations:
Laboratory of Modelling, Intelligence, Processes and Systems, University of Haute-Alsace, ENSISA, 12 rue des frères Lumière, 68093 Mulhouse Cedex, France;Laboratory of Modelling, Intelligence, Processes and Systems, University of Haute-Alsace, ENSISA, 12 rue des frères Lumière, 68093 Mulhouse Cedex, France;Laboratory of Modelling, Intelligence, Processes and Systems, University of Haute-Alsace, ENSISA, 12 rue des frères Lumière, 68093 Mulhouse Cedex, France;Laboratory of Modelling, Intelligence, Processes and Systems, University of Haute-Alsace, ENSISA, 12 rue des frères Lumière, 68093 Mulhouse Cedex, France
Venue:
International Journal of Applied Mathematics and Computer Science - Issues in Advanced Control and Diagnosis
Year:
2011

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Abstract

This paper focuses on the model order reduction problem of second-order form models. The aim is to provide a reduction procedure which guarantees the preservation of the physical structural conditions of second-order form models. To solve this problem, a new approach has been developed to transform a second-order form model from a state-space realization which ensures the preservation of the structural conditions. This new approach is designed for controllable single-input state-space realizations with real matrices and has been applied to reduce a single-input second-order form model by balanced truncation and modal truncation.