Model correction for a class of spatio-temporal systems

Author

Moheimani, S. O Reza ; Heath, William P.

Author_Institution

Dept. of Electr. & Comput. Eng., Newcastle Univ., NSW, Australia

Volume

6

fYear

2000

fDate

2000

Firstpage

3768

Abstract

Modal analysis has been used in modeling of a large number of physical systems such as beams, plates, acoustic enclosures, strings, etc. These models are often simplified by truncating higher frequency terms that lie out of the bandwidth of interest. Truncation can introduce a large error. This paper suggests a method of minimizing the effect of truncated modes on spatial low-frequency dynamics of the system by adding a spatial zero frequency term to the truncated model. The feedthrough term is found such that the spatial H_∞ norm of the error system is minimized

Keywords

H^∞ optimisation; errors; minimisation; modal analysis; modelling; acoustic enclosures; beams; error system; feedthrough term; high-frequency term truncation; modal analysis; model correction; physical systems; plates; spatial H_∞ norm minimization; spatial low-frequency dynamics; spatial zero frequency term; spatio-temporal systems; strings; truncated mode effect minimization; Acoustic beams; Bandwidth; Boundary conditions; Eigenvalues and eigenfunctions; Frequency; Heat engines; Modal analysis; Partial differential equations; Resistance heating; Temperature control;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2000. Proceedings of the 2000

Conference_Location

Chicago, IL

ISSN

0743-1619

Print_ISBN

0-7803-5519-9

Type

conf

DOI

10.1109/ACC.2000.876925

Filename

876925