Title :
P.O.D. for linear systems
Author_Institution :
Fac. of Math. Sci., Univ. of Twente, Enschede, Netherlands
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;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
