Frequency-weighted discrete-time LPV model reduction using structurally balanced truncation

Publikationstyp
Conference Paper
Date Issued
2009
Sprache
English
Author(s)
Abbas, Hossam El-Din Mahmoud Seddik  
Werner, Herbert  
Institut
Regelungstechnik E-14  
TORE-URI
http://hdl.handle.net/11420/14811
Journal
Proceedings of the IEEE Conference on Decision & Control  
Start Page
4298
End Page
4303
Article Number
5400823
Citation
Proceedings of the 48th IEEE Conference on Decision and Control (CDC) : held jointly with 2009 28th Chinese Control Conference [(CCC)] ; Shanghai, China, 15 - 18 December 2009 (): 5400823 4298-4303 (2009)
Contribution to Conference
48th IEEE Conference on Decision and Control, CDC 2009  
Publisher DOI
10.1109/CDC.2009.5400823
Scopus ID
2-s2.0-77950848569
Publisher
IEEE
This paper proposes a method for frequency-weighted discrete-time linear parameter varying (LPV) model reduction with bounded rate of parameter variation, using structurally balanced truncation with a priori (non-tight) upper error bounds for each fixed parameter. For systems with both input and output weighting filters, guaranteed stability of the reduced-order model is proved as well as existence of solutions, provided that the full-order model is stable. A technique based on cone complementarity linearization is proposed to solve the associated LMI problem. Application to the model of a gantry robot illustrates the effectiveness of the approach. Moreover, a method is proposed to make the reduced order model suitable for practical LPV controller synthesis.
DDC Class
600: Technik
620: Ingenieurwissenschaften