Hankel-type Model Reduction Based on Frequency Response Matching
(2010) 49th IEEE Conference on Decision and Control p.5372-5377- Abstract
- In this paper, a stability preserving model reduction algorithm for single-input single-output linear time invariant systems is presented. It performs a data fitting in the frequency domain using semidefinite programming methods. Computing the frequency response of a model can be done efficiently even for large scale models making this approach applicable to those. The relaxation used to obtain a semidefinite program is similar to one used in Hankel model reduction. Therefore accuracy of approximation is also similar to Hankel model reduction one. The approach can be easily extended to frequency-weighted and parameter dependent model reduction problems.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1789184
- author
- Sootla, Aivar LU
- organization
- publishing date
- 2010
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- Hankel approximation, controller reduction, model reduction, convex otpimization
- host publication
- [Host publication title missing]
- pages
- 5372 - 5377
- conference name
- 49th IEEE Conference on Decision and Control
- conference location
- Atlanta, Georgia, United States
- conference dates
- 2010-12-15
- external identifiers
-
- wos:000295049106022
- scopus:79953151437
- DOI
- 10.1109/CDC.2010.5716947
- language
- English
- LU publication?
- yes
- id
- 1d964592-1793-452c-8011-da3933ce324e (old id 1789184)
- date added to LUP
- 2016-04-04 13:31:16
- date last changed
- 2022-01-30 00:24:28
@inproceedings{1d964592-1793-452c-8011-da3933ce324e,
abstract = {{In this paper, a stability preserving model reduction algorithm for single-input single-output linear time invariant systems is presented. It performs a data fitting in the frequency domain using semidefinite programming methods. Computing the frequency response of a model can be done efficiently even for large scale models making this approach applicable to those. The relaxation used to obtain a semidefinite program is similar to one used in Hankel model reduction. Therefore accuracy of approximation is also similar to Hankel model reduction one. The approach can be easily extended to frequency-weighted and parameter dependent model reduction problems.}},
author = {{Sootla, Aivar}},
booktitle = {{[Host publication title missing]}},
keywords = {{Hankel approximation; controller reduction; model reduction; convex otpimization}},
language = {{eng}},
pages = {{5372--5377}},
title = {{Hankel-type Model Reduction Based on Frequency Response Matching}},
url = {{https://lup.lub.lu.se/search/files/6140299/8168929.pdf}},
doi = {{10.1109/CDC.2010.5716947}},
year = {{2010}},
}