Model Reduction of Switched Affine Systems: a Method Based on Balanced Truncation and Randomized Optimization

Alessandro Vittorio Papadopoulos; Maria Prandini

doi:10.1145/2562059.2562131

Model Reduction of Switched Affine Systems: a Method Based on Balanced Truncation and Randomized Optimization

Alessandro Vittorio Papadopoulos, Maria Prandini

Institutionen för reglerteknik

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Sammanfattning

This paper proposes an approach to build a reduced order model for a Switched Affine (SA) system. The main idea is to transform the SA system into an equivalent Switched Linear (SL) system with state reset, and then apply balanced truncation to each mode and redefine the reset maps so as to best reproduce the free evolution of the system output. A randomized method is proposed for order selection in the case when the input is stochastic and one is interested in reproducing the output of the original SA system over a finite time-horizon. The performance of the approach is shown on a benchmark example.

Originalspråk	engelska
Titel på värdpublikation	HSCC '14
Förlag	Association for Computing Machinery (ACM)
Sidor	113-122
Antal sidor	10
ISBN (tryckt)	978-1-4503-2732-9
DOI	https://doi.org/10.1145/2562059.2562131
Status	Published - 2014
Evenemang	17th International Conference on Hybrid Systems: Computation and Control - Berlin, Tyskland Varaktighet: 2014 apr. 15 → …

Konferens

Konferens	17th International Conference on Hybrid Systems: Computation and Control
Land/Territorium	Tyskland
Ort	Berlin
Period	2014/04/15 → …

Ämnesklassifikation (UKÄ)

Reglerteknik

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10.1145/2562059.2562131

http://dl.acm.org/citation.cfm?doid=2562059.2562131

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@inproceedings{88afbc3879af461683b85b8ccb9a97fd,

title = "Model Reduction of Switched Affine Systems: a Method Based on Balanced Truncation and Randomized Optimization",

abstract = "This paper proposes an approach to build a reduced order model for a Switched Affine (SA) system. The main idea is to transform the SA system into an equivalent Switched Linear (SL) system with state reset, and then apply balanced truncation to each mode and redefine the reset maps so as to best reproduce the free evolution of the system output. A randomized method is proposed for order selection in the case when the input is stochastic and one is interested in reproducing the output of the original SA system over a finite time-horizon. The performance of the approach is shown on a benchmark example.",

keywords = "Model reduction, Switched systems, Randomized algorithms",

author = "Papadopoulos, {Alessandro Vittorio} and Maria Prandini",

year = "2014",

doi = "10.1145/2562059.2562131",

language = "English",

isbn = "978-1-4503-2732-9",

pages = "113--122",

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publisher = "Association for Computing Machinery (ACM)",

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AU - Papadopoulos, Alessandro Vittorio

AU - Prandini, Maria

PY - 2014

Y1 - 2014

N2 - This paper proposes an approach to build a reduced order model for a Switched Affine (SA) system. The main idea is to transform the SA system into an equivalent Switched Linear (SL) system with state reset, and then apply balanced truncation to each mode and redefine the reset maps so as to best reproduce the free evolution of the system output. A randomized method is proposed for order selection in the case when the input is stochastic and one is interested in reproducing the output of the original SA system over a finite time-horizon. The performance of the approach is shown on a benchmark example.

AB - This paper proposes an approach to build a reduced order model for a Switched Affine (SA) system. The main idea is to transform the SA system into an equivalent Switched Linear (SL) system with state reset, and then apply balanced truncation to each mode and redefine the reset maps so as to best reproduce the free evolution of the system output. A randomized method is proposed for order selection in the case when the input is stochastic and one is interested in reproducing the output of the original SA system over a finite time-horizon. The performance of the approach is shown on a benchmark example.

KW - Model reduction

KW - Switched systems

KW - Randomized algorithms

U2 - 10.1145/2562059.2562131

DO - 10.1145/2562059.2562131

M3 - Paper in conference proceeding

SN - 978-1-4503-2732-9

SP - 113

EP - 122

BT - HSCC '14

PB - Association for Computing Machinery (ACM)

T2 - 17th International Conference on Hybrid Systems: Computation and Control

Y2 - 15 April 2014

ER -

Model Reduction of Switched Affine Systems: a Method Based on Balanced Truncation and Randomized Optimization

Sammanfattning

Konferens

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