DocumentCode
2251059
Title
On the choice of an optimal interpolation point in Krylov-based order reduction
Author
Salimbahrami, Behnam ; Eid, Rudy ; Lohmann, Boris
Author_Institution
Inst. of Autom. Control, Tech. Univ. Munchen, Garching, Germany
fYear
2008
fDate
9-11 Dec. 2008
Firstpage
4209
Lastpage
4214
Abstract
In this paper, the well-known problem of finding a suitable interpolation point in order reduction via moment matching by Krylov subspaces is investigated. By using the equivalence property of moment matching and Laguerre-based order reduction, the problem is reformulated as finding the best choice for the free parameter ¿ in the Laguerre basis. Minimizing appropriate cost functions with very few iterations is the key point toward finding this best interpolation point.
Keywords
interpolation; reduced order systems; Krylov-based order reduction; Laguerre-based order reduction; moment matching; optimal interpolation point; Cost function; Frequency domain analysis; Interpolation; Iterative algorithms; Large-scale systems; Optimal control; Reduced order systems; Signal processing algorithms; Systems engineering and theory; Time domain analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location
Cancun
ISSN
0191-2216
Print_ISBN
978-1-4244-3123-6
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2008.4739219
Filename
4739219
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