DocumentCode
697454
Title
P.O.D. for linear systems
Author
Zwart, Hans
Author_Institution
Fac. of Math. Sci., Univ. of Twente, Enschede, Netherlands
fYear
2001
fDate
4-7 Sept. 2001
Firstpage
2650
Lastpage
2653
Abstract
In this paper we show that for linear systems there is a strong relation between P.O.D. approximation and balanced truncation. Using this relation we obtain an error estimate for the P.O.D. approximation in the H∞-norm. A small H∞-norm is needed in order to guarantee that a controller design for the reduced system will perform well on the original system.
Keywords
H∞ control; approximation theory; control system synthesis; linear systems; H∞-norm; P.O.D. approximation; balanced truncation; controller design; error estimation; linear systems; reduced system; Approximation methods; Eigenvalues and eigenfunctions; Equations; Europe; Hilbert space; Linear systems; Mathematical model; Infinite-dimensional system; Proper orthogonal decomposition; Robust control; balanced realization;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2001 European
Conference_Location
Porto
Print_ISBN
978-3-9524173-6-2
Type
conf
Filename
7076329
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