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

Papadopoulos, Alessandro Vittorio LU and Prandini, Maria (2014) 17th International Conference on Hybrid Systems: Computation and Control p.113-122
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.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Model reduction, Switched systems, Randomized algorithms
host publication
HSCC '14
pages
10 pages
publisher
Association for Computing Machinery (ACM)
conference name
17th International Conference on Hybrid Systems: Computation and Control
conference location
Berlin, Germany
conference dates
2014-04-15
external identifiers
  • scopus:84899737408
ISBN
978-1-4503-2732-9
DOI
10.1145/2562059.2562131
language
English
LU publication?
yes
id
88afbc38-79af-4616-83b8-5b8ccb9a97fd (old id 4250861)
alternative location
http://dl.acm.org/citation.cfm?doid=2562059.2562131
date added to LUP
2016-04-04 11:59:16
date last changed
2021-09-29 04:02:38
@inproceedings{88afbc38-79af-4616-83b8-5b8ccb9a97fd,
  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.},
  author       = {Papadopoulos, Alessandro Vittorio and Prandini, Maria},
  booktitle    = {HSCC '14},
  isbn         = {978-1-4503-2732-9},
  language     = {eng},
  pages        = {113--122},
  publisher    = {Association for Computing Machinery (ACM)},
  title        = {Model Reduction of Switched Affine Systems: a Method Based on Balanced Truncation and Randomized Optimization},
  url          = {https://lup.lub.lu.se/search/files/5901150/4610327.pdf},
  doi          = {10.1145/2562059.2562131},
  year         = {2014},
}