DocumentCode :
3302422
Title :
Improved results on frequency weighted balanced truncation
Author :
Sreeram, Victor ; Sahlan, Shafishuhaza
Author_Institution :
Sch. Electr., Electron., & Comput. Eng., Univ. of Western Australia, Crawley, WA, Australia
fYear :
2009
fDate :
15-18 Dec. 2009
Firstpage :
3250
Lastpage :
3255
Abstract :
In this paper, we present some new results on frequency weighted balanced truncation which is a significant improvement on Lin and Chiu´s frequency weighted balanced truncation technique. The reduced order models which are guaranteed to be stable in case of double-sided weighting, are obtained by direct truncation. Two sets of simple, elegant and easily calculatable a priori error bounds are also derived. A numerical example and comparison with other well-known techniques show the effectiveness of the proposed technique.
Keywords :
reduced order systems; stability; a priori error bounds; direct truncation; double-sided weighting; frequency weighted balanced truncation; reduced order models; stability; Approximation error; Australia; Controllability; Equations; Frequency; Observability; Reduced order systems; Stability; Transfer functions;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
ISSN :
0191-2216
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
Type :
conf
DOI :
10.1109/CDC.2009.5400010
Filename :
5400010
Link To Document :
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