<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Extracting second-order structures from single-input state-space models: Application to model order reduction

Laboratory of Modelling, Intelligence, Processes and Systems, University of Haute-Alsace, ENSISA, 12 rue des frères Lumière, 68093 Mulhouse Cedex, France

International Journal of Applied Mathematics and Computer Science

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...

Extracting second-order structures from single-input state-space models: Application to model order reduction

Published Online: Sep 22, 2011

Page range: 509 - 519

DOI: https://doi.org/10.2478/v10006-011-0039-5

Keywords
second-order form model, preservation of the structural conditions, balanced truncation, modal truncation

This content is open access.

Extracting second-order structures from single-input state-space models: Application to model order reduction

Published Online: Sep 22, 2011

Page range: 509 - 519

DOI: https://doi.org/10.2478/v10006-011-0039-5

Keywordssecond-order form model, preservation of the structural conditions, balanced truncation, modal truncation

This content is open access.

Keywords
second-order form model, preservation of the structural conditions, balanced truncation, modal truncation