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Convenient Representations of Structured Systems for Model Order Reduction

Sootla, Aivar LU and Rantzer, Anders LU (2012) American Control Conference, 2012 In [Host publication title missing]
Abstract
In control theory there exist two convenient representations of a model, which are transfer functions and state-space matrices. However, structure in the transfer functions is not clearly seen in the state-space form, and on the other hand structure in the state-space form is not clearly seen in the transfer functions. The main reason for this is that Laplace transformation destroys most types of structures. The goal of this paper was introducing such representations that clearly reflect structure in both frequency and time domain. Such representations are obtained by introducing auxiliary signals which define the interactions within the structure. The auxiliary signals lower level of abstraction of input-output mappings, thus providing an... (More)
In control theory there exist two convenient representations of a model, which are transfer functions and state-space matrices. However, structure in the transfer functions is not clearly seen in the state-space form, and on the other hand structure in the state-space form is not clearly seen in the transfer functions. The main reason for this is that Laplace transformation destroys most types of structures. The goal of this paper was introducing such representations that clearly reflect structure in both frequency and time domain. Such representations are obtained by introducing auxiliary signals which define the interactions within the structure. The auxiliary signals lower level of abstraction of input-output mappings, thus providing an insight into physical properties of a system. (Less)
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
in press
subject
keywords
Interconnected systems, structured systems, coprime factorization, model order reduction.
in
[Host publication title missing]
editor
Astolfi, Alessandro
pages
6 pages
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
American Control Conference, 2012
project
LCCC
language
English
LU publication?
yes
id
635aefa9-4bf9-45a4-8967-bda5f75e6479 (old id 2544111)
date added to LUP
2012-05-25 09:00:56
date last changed
2016-06-27 13:38:45
@misc{635aefa9-4bf9-45a4-8967-bda5f75e6479,
  abstract     = {In control theory there exist two convenient representations of a model, which are transfer functions and state-space matrices. However, structure in the transfer functions is not clearly seen in the state-space form, and on the other hand structure in the state-space form is not clearly seen in the transfer functions. The main reason for this is that Laplace transformation destroys most types of structures. The goal of this paper was introducing such representations that clearly reflect structure in both frequency and time domain. Such representations are obtained by introducing auxiliary signals which define the interactions within the structure. The auxiliary signals lower level of abstraction of input-output mappings, thus providing an insight into physical properties of a system.},
  author       = {Sootla, Aivar and Rantzer, Anders},
  editor       = {Astolfi, Alessandro},
  keyword      = {Interconnected systems,structured systems,coprime factorization,model order reduction.},
  language     = {eng},
  pages        = {6},
  publisher    = {ARRAY(0xbb4e140)},
  series       = {[Host publication title missing]},
  title        = {Convenient Representations of Structured Systems for Model Order Reduction},
  year         = {2012},
}