A comparison of second-order model order reduction methods for an artificial fishtail

In order to apply control theory in small autonomous vehicles, mathematical models with small numbers of states are required for using the limited computational power in embedded programming. In this paper, we consider an artificial fishtail as an example for a complex mechanical system with a secon...

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Bibliographic Details
Published inAutomatisierungstechnik : AT Vol. 67; no. 8; pp. 648 - 667
Main Authors Saak, Jens, Siebelts, Dirk, Werner, Steffen W. R.
Format Journal Article
LanguageEnglish
Published De Gruyter Oldenbourg 27.08.2019
Subjects
artificial fishtail
balanced truncation
Bionik
Frequenzbereich
Methodenvergleich
modal approximation
model order reduction
Modellordnungsreduktion
moment matching
Strukturerhalt
Zeitbereich
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Summary:In order to apply control theory in small autonomous vehicles, mathematical models with small numbers of states are required for using the limited computational power in embedded programming. In this paper, we consider an artificial fishtail as an example for a complex mechanical system with a second-order large-scale model, which is derived by using the finite element method. To meet the above limitations, the several hundreds of thousands of degrees of freedom need to be reduced to merely a handful of surrogate degrees of freedom. We seek to achieve this task by various second-order model order reduction methods. All methods are applied on the fishtail’s matrices and their results are evaluated and compared in the frequency domain as well as in the time domain.
ISSN:0178-2312
2196-677X
DOI:10.1515/auto-2019-0027