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

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10.1109/CDC.2005.1582533

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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.",

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

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AU - Wubs, Fred W

AU - van Mourik, Simon

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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

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