Convenient Representations of Structured Systems for Model Order Reduction
(2012) American Control Conference, 2012- 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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2544111
- author
- Sootla, Aivar LU and Rantzer, Anders LU
- organization
- publishing date
- 2012
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- Interconnected systems, structured systems, coprime factorization, model order reduction.
- host publication
- [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
- conference location
- Montréal, Canada
- conference dates
- 2012-06-27 - 2012-06-29
- external identifiers
-
- scopus:84869464925
- DOI
- 10.1109/ACC.2012.6315485
- project
- LCCC
- language
- English
- LU publication?
- yes
- id
- 635aefa9-4bf9-45a4-8967-bda5f75e6479 (old id 2544111)
- date added to LUP
- 2016-04-04 11:32:10
- date last changed
- 2024-01-13 01:03:10
@inproceedings{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}}, booktitle = {{[Host publication title missing]}}, editor = {{Astolfi, Alessandro}}, keywords = {{Interconnected systems; structured systems; coprime factorization; model order reduction.}}, language = {{eng}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, title = {{Convenient Representations of Structured Systems for Model Order Reduction}}, url = {{https://lup.lub.lu.se/search/files/5796299/2544116.pdf}}, doi = {{10.1109/ACC.2012.6315485}}, year = {{2012}}, }