Convenient Representations of Structured Systems for Model Order Reduction

Aivar Sootla; Anders Rantzer

doi:10.1109/ACC.2012.6315485

Convenient Representations of Structured Systems for Model Order Reduction

Aivar Sootla, Anders Rantzer

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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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.

Original language	English
Title of host publication	[Host publication title missing]
Editors	Alessandro Astolfi
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
Number of pages	6
DOIs	https://doi.org/10.1109/ACC.2012.6315485
Publication status	Published - 2012
Event	American Control Conference, 2012 - Montréal, Canada Duration: 2012 Jun 27 → 2012 Jun 29

Conference

Conference	American Control Conference, 2012
Country/Territory	Canada
City	Montréal
Period	2012/06/27 → 2012/06/29

Subject classification (UKÄ)

Control Engineering

Free keywords

Interconnected systems
structured systems
coprime factorization
model order reduction.

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10.1109/ACC.2012.6315485

mainAccepted author manuscript, 184 KB

LCCC
Holmqvist, A. (Researcher), Andersson, N. (Researcher), Cervin, A. (Researcher), Mannesson, A. (Researcher), Gattami, A. (Researcher), Ghulchak, A. (Researcher), Papadopoulos, A. V. (Researcher), Rantzer, A. (Researcher), Robertsson, A. (Researcher), Sootla, A. (Researcher), THEORIN, A. (Researcher), Bernhardsson, B. (Researcher), Olofsson, B. (Researcher), Wittenmark, B. (Researcher), Grussler, C. (Researcher), Johnsson, C. (Researcher), MADJIDIAN, D. (Researcher), Johannesson, E. (Researcher), Magnusson, F. (Researcher), Ståhl, F. (Researcher), Como, G. (Researcher), Chasparis, G. (Researcher), Turesson, G. (Researcher), Dressler, I. (Researcher), Åkesson, J. (Researcher), Cho, J. H. (Researcher), Årzén, K.-E. (Researcher), Åström, K. J. (Researcher), Sou, K. C. (Researcher), Mårtensson, K. (Researcher), Berntorp, K. (Researcher), Soltesz, K. (Researcher), Lessard, L. (Researcher), Hast, M. (Researcher), Rönn, M. (Researcher), Ansbjerg Kjær, M. (Researcher), Maggio, M. (Researcher), Kristalny, M. (Researcher), Garpinger, O. (Researcher), From, P. J. (Researcher), Larsson, P.-O. (Researcher), Giselsson, P. (Researcher), Johansson, R. (Researcher), Hägglund, T. (Researcher), Vladimerou, V. (Researcher), Romero Segovia, V. (Researcher), Aurelius, A. (Researcher), Cedersjö, G. (Researcher), Bür, K. (Researcher), Dellkrantz, M. (Researcher), Du, M. (Researcher), Amani, P. (Researcher), Larsson, R. (Researcher), Tärneberg, W. (Research student), Li, Z. (Researcher), Yin, L. (Researcher), Tufvesson, F. (Researcher), Höst, S. (Researcher), Nilsson, B. (Researcher), Stenström, S. (Researcher), Andersson, J. A. (Researcher), Diehl, S. (Researcher), Dürango, J. (Researcher), Ghazaei Ardakani, M. (Researcher), Forsberg, P.-O. (Researcher), Bengtsson, F. (Researcher), Jörntell, H. (Researcher), Arévalo, C. (Researcher), Führer, C. (Researcher), Andersson, C. (Researcher), Mohammadi, F. (Researcher), Ödling, P. (Researcher), Andersson, M. (Researcher), Kihl, M. (Researcher) & Tunestål, P. (Researcher)
2008/07/01 → 2018/06/30
Project: Research

Cite this

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title = "Convenient Representations of Structured Systems for Model Order Reduction",

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.",

keywords = "Interconnected systems, structured systems, coprime factorization, model order reduction.",

author = "Aivar Sootla and Anders Rantzer",

year = "2012",

doi = "10.1109/ACC.2012.6315485",

language = "English",

editor = "Alessandro Astolfi",

booktitle = "[Host publication title missing]",

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T1 - Convenient Representations of Structured Systems for Model Order Reduction

AU - Sootla, Aivar

AU - Rantzer, Anders

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

KW - Interconnected systems

KW - structured systems

KW - coprime factorization

KW - model order reduction.

U2 - 10.1109/ACC.2012.6315485

DO - 10.1109/ACC.2012.6315485

M3 - Paper in conference proceeding

BT - [Host publication title missing]

A2 - Astolfi, Alessandro

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

T2 - American Control Conference, 2012

Y2 - 27 June 2012 through 29 June 2012

ER -

Convenient Representations of Structured Systems for Model Order Reduction

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