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Model Reduction of Spatially Distributed Systems Using Coprime Factors and Semidefinite Programming

Sootla, Aivar LU and Rantzer, Anders LU (2011) 18th IFAC World Congress, 2011
Abstract
In this paper an order reduction method for spatially distributed models is presented. Such systems may be modeled as two nodes interacting with each other through feedback. A model of one of the nodes reduced in such a way, that the closed loop performance is approximated. The method exploits a coprime factor description of the closed loop model and semidefinite programming. The method is related to controller reduction techniques and therefore is compared to those. Numerical examples show that using this algorithm the performance of the reduced order controller may be significantly improved.
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author
organization
publishing date
type
Contribution to conference
publication status
published
subject
keywords
semidefinite programming, networks, interconnected systems, Model reduction, linear systems, polynomial methods
conference name
18th IFAC World Congress, 2011
external identifiers
  • Scopus:84866774664
language
English
LU publication?
yes
id
6d25f92e-44a8-40c3-b90a-9b357c995988 (old id 2158494)
date added to LUP
2011-09-16 11:39:03
date last changed
2016-10-13 04:52:11
@misc{6d25f92e-44a8-40c3-b90a-9b357c995988,
  abstract     = {In this paper an order reduction method for spatially distributed models is presented. Such systems may be modeled as two nodes interacting with each other through feedback. A model of one of the nodes reduced in such a way, that the closed loop performance is approximated. The method exploits a coprime factor description of the closed loop model and semidefinite programming. The method is related to controller reduction techniques and therefore is compared to those. Numerical examples show that using this algorithm the performance of the reduced order controller may be significantly improved.},
  author       = {Sootla, Aivar and Rantzer, Anders},
  keyword      = {semidefinite programming,networks,interconnected systems,Model reduction,linear systems,polynomial methods},
  language     = {eng},
  title        = {Model Reduction of Spatially Distributed Systems Using Coprime Factors and Semidefinite Programming},
  year         = {2011},
}