Model Reduction of Spatially Distributed Systems Using Coprime Factors and Semidefinite Programming
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2158494
- author
- Sootla, Aivar LU and Rantzer, Anders LU
- organization
- publishing date
- 2011
- 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
- conference location
- Milan, Italy
- conference dates
- 2011-08-28 - 2011-09-02
- external identifiers
-
- scopus:84866774664
- language
- English
- LU publication?
- yes
- id
- 6d25f92e-44a8-40c3-b90a-9b357c995988 (old id 2158494)
- date added to LUP
- 2016-04-04 12:56:24
- date last changed
- 2024-06-09 02:59:29
@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}}, keywords = {{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}}, }