TY - BOOK
T1 - A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control
AU - Besselink, B.
AU - Lutowska, A.
AU - Tabak, U.
AU - Wouw, van de, N.
AU - Nijmeijer, H.
AU - Hochstenbach, M.E.
AU - Schilders, W.H.A.
AU - Rixen, D.J.
PY - 2013
Y1 - 2013
N2 - In this paper, popular model reduction techniques from the fields of structural dynamics, numerical mathematics and systems and control are reviewed and compared. The motivation for such a comparison stems from the fact the model reduction techniques in these fields have been developed fairly independently. In addition, the insight obtained by the comparison allows for making a motivated choice for a particular model reduction technique, on the basis of the desired objectives and properties of the model reduction problem. In particular, a detailed review is given on mode displacement techniques, moment matching methods and balanced truncation, whereas important extensions are outlined briefly. In addition, a qualitative comparison of these methods is presented, hereby focussing both on theoretical and computational aspects. Finally, the differences are illustrated on a quantitative level by means of application of the model reduction techniques to a common example.
AB - In this paper, popular model reduction techniques from the fields of structural dynamics, numerical mathematics and systems and control are reviewed and compared. The motivation for such a comparison stems from the fact the model reduction techniques in these fields have been developed fairly independently. In addition, the insight obtained by the comparison allows for making a motivated choice for a particular model reduction technique, on the basis of the desired objectives and properties of the model reduction problem. In particular, a detailed review is given on mode displacement techniques, moment matching methods and balanced truncation, whereas important extensions are outlined briefly. In addition, a qualitative comparison of these methods is presented, hereby focussing both on theoretical and computational aspects. Finally, the differences are illustrated on a quantitative level by means of application of the model reduction techniques to a common example.
M3 - Report
T3 - CASA-report
BT - A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control
PB - Technische Universiteit Eindhoven
CY - Eindhoven
ER -