Model correction for a class of spatio-temporal systems

S. O R Moheimani; W. P. Heath

doi:10.1016/S0005-1098(01)00178-9

Model correction for a class of spatio-temporal systems

S. O R Moheimani, W. P. Heath

Research output: Contribution to journal › Article › peer-review

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 feed-through term is found such that the spatial H∞ norm of the error system is minimized. © 2001 Elsevier Science Ltd. All rights reserved.

Original language	English
Pages (from-to)	147-155
Number of pages	8
Journal	Automatica
Volume	38
Issue number	1
DOIs	https://doi.org/10.1016/S0005-1098(01)00178-9
Publication status	Published - Jan 2002

Keywords

Distributed parameter systems
Model reduction
Optimization
Spatial norms
Spatially distributed systems

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10.1016/S0005-1098(01)00178-9

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title = "Model correction for a class of spatio-temporal systems",

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 feed-through term is found such that the spatial H∞ norm of the error system is minimized. {\textcopyright} 2001 Elsevier Science Ltd. All rights reserved.",

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AB - 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 feed-through term is found such that the spatial H∞ norm of the error system is minimized. © 2001 Elsevier Science Ltd. All rights reserved.

KW - Distributed parameter systems

KW - Model reduction

KW - Optimization

KW - Spatial norms

KW - Spatially distributed systems

U2 - 10.1016/S0005-1098(01)00178-9

DO - 10.1016/S0005-1098(01)00178-9

M3 - Article

SN - 0005-1098

VL - 38

SP - 147

EP - 155

JO - Automatica

JF - Automatica

IS - 1

ER -

Model correction for a class of spatio-temporal systems

Abstract

Keywords

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