Model reduction for controller design for infinite-dimensional systems: theory and an example

Mark Opmeer; Fred W Wubs; Simon van Mourik

doi:10.1109/CDC.2005.1582533

Model reduction for controller design for infinite-dimensional systems: theory and an example

Mark Opmeer, Fred W Wubs, Simon van Mourik

Research output: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding

6 Citations (SciVal)

Abstract

This paper presents a model reduction technique for infinite-dimensional systems called LQG-balancing. Theoretical results on the existence and uniqueness of LQG-balanced realizations are given as well as error bounds for truncated LQG-balanced realizations. We illustrate the theory by studying model reduction for an Euler-Bernoulli beam.

Original language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control
Publisher	IEEE
Pages	2469 - 2474
Number of pages	6
ISBN (Print)	0-7803-9567-0
DOIs	https://doi.org/10.1109/CDC.2005.1582533
Publication status	Published - 2005
Event	44th IEEE Conference on Decision and Control 2005 - , UK United Kingdom Duration: 12 Dec 2005 → 15 Dec 2005

Conference

Conference	44th IEEE Conference on Decision and Control 2005
Country/Territory	UK United Kingdom
Period	12/12/05 → 15/12/05

Access to Document

10.1109/CDC.2005.1582533

Cite this

@inproceedings{5f7f230faae6414db672611bb70806df,

title = "Model reduction for controller design for infinite-dimensional systems: theory and an example",

abstract = "This paper presents a model reduction technique for infinite-dimensional systems called LQG-balancing. Theoretical results on the existence and uniqueness of LQG-balanced realizations are given as well as error bounds for truncated LQG-balanced realizations. We illustrate the theory by studying model reduction for an Euler-Bernoulli beam.",

author = "Mark Opmeer and Wubs, {Fred W} and {van Mourik}, Simon",

year = "2005",

doi = "10.1109/CDC.2005.1582533",

language = "English",

isbn = "0-7803-9567-0",

pages = "2469 -- 2474",

booktitle = "Proceedings of the 44th IEEE Conference on Decision and Control",

publisher = "IEEE",

address = "USA United States",

note = "44th IEEE Conference on Decision and Control 2005 ; Conference date: 12-12-2005 Through 15-12-2005",

}

TY - GEN

T1 - Model reduction for controller design for infinite-dimensional systems: theory and an example

AU - Opmeer, Mark

AU - Wubs, Fred W

AU - van Mourik, Simon

PY - 2005

Y1 - 2005

N2 - This paper presents a model reduction technique for infinite-dimensional systems called LQG-balancing. Theoretical results on the existence and uniqueness of LQG-balanced realizations are given as well as error bounds for truncated LQG-balanced realizations. We illustrate the theory by studying model reduction for an Euler-Bernoulli beam.

AB - This paper presents a model reduction technique for infinite-dimensional systems called LQG-balancing. Theoretical results on the existence and uniqueness of LQG-balanced realizations are given as well as error bounds for truncated LQG-balanced realizations. We illustrate the theory by studying model reduction for an Euler-Bernoulli beam.

U2 - 10.1109/CDC.2005.1582533

DO - 10.1109/CDC.2005.1582533

M3 - Chapter in a published conference proceeding

SN - 0-7803-9567-0

SP - 2469

EP - 2474

BT - Proceedings of the 44th IEEE Conference on Decision and Control

PB - IEEE

T2 - 44th IEEE Conference on Decision and Control 2005

Y2 - 12 December 2005 through 15 December 2005

ER -

Model reduction for controller design for infinite-dimensional systems: theory and an example

Abstract

Conference

Access to Document

Fingerprint

Cite this