Model Reduction of Switched Affine Systems: a Method Based on Balanced Truncation and Randomized Optimization
(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:
https://lup.lub.lu.se/record/4250861
- author
- Papadopoulos, Alessandro Vittorio LU and Prandini, Maria
- organization
- publishing date
- 2014
- 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
- 2022-03-16 00:08:40
@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}}, keywords = {{Model reduction; Switched systems; Randomized algorithms}}, 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}}, }