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Hankel-type Model Reduction Based on Frequency Response Matching

Sootla, Aivar LU (2010) 49th IEEE Conference on Decision and Control In [Host publication title missing] 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.
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Hankel approximation, controller reduction, model reduction, convex otpimization
in
[Host publication title missing]
pages
5372 - 5377
conference name
49th IEEE Conference on Decision and Control
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
2011-02-22 09:11:50
date last changed
2016-10-13 04:55:41
@misc{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},
  keyword      = {Hankel approximation,controller reduction,model reduction,convex otpimization},
  language     = {eng},
  pages        = {5372--5377},
  series       = {[Host publication title missing]},
  title        = {Hankel-type Model Reduction Based on Frequency Response Matching},
  url          = {http://dx.doi.org/10.1109/CDC.2010.5716947},
  year         = {2010},
}