Extended balanced truncation for parameter-varying multidimensional systems

Publikationstyp
Conference Paper
Publikationsdatum
2017-07-03
Sprache
English
Author
Al-Taie, Fatimah 
Werner, Herbert 
Institut
Regelungstechnik E-14 
TORE-URI
http://hdl.handle.net/11420/3548
Start Page
394
End Page
398
Article Number
7962985
Citation
Proceedings of the American Control Conference: 7962985, 394-398 (2017)
Contribution to Conference
American Control Conference, ACC 2017 
Publisher DOI
10.23919/ACC.2017.7962985
Scopus ID
2-s2.0-85027066632
Publisher
IEEE
In this work, a novel technique of balanced truncation for model reduction of parameter-varying multidimensional systems in 'Roesser Form' is proposed. The multidimensional system representation requires two operators defined on l2-space. The reduction is based on extended Gramians. Both, standard and improved error bounds for the model reduction problem are presented. The approach is demonstrated with the application to an illustrative example.
DDC Class
600: Technik