Model order reduction by parameter-varying oblique projection

Publikationstyp
Conference Paper
Date Issued
2016-07-28
Sprache
English
Author(s)
Theis, Julian  orcid-logo
Seiler, Peter  
Werner, Herbert  
Institut
Regelungstechnik E-14  
TORE-URI
http://hdl.handle.net/11420/5358
Volume
2016
Start Page
4586
End Page
4591
Article Number
7526075
Citation
Proceedings of the American Control Conference (2016-July): 7526075 4586-4591 (2016-07-28)
Contribution to Conference
American Control Conference, ACC 2016  
Publisher DOI
10.1109/ACC.2016.7526075
Scopus ID
2-s2.0-84992055566
A method to reduce the dynamic order of linear parameter-varying (LPV) systems in grid representation is developed in this paper. It approximates balancing and truncation by an oblique projection onto a dominant subspace. The approach is novel in its use of a parameter-varying kernel to define the direction of this projection. Parameter-varying state transformations in general lead to parameter rate dependence in the model. The proposed projection avoids this dependence and maintains a consistent state space basis for the reduced-order system. The method is compared with LPV balancing and truncation for a nonlinear mass-spring-damper system. It is shown to yield similar accuracy, while the required computation time is reduced by a factor of almost 100,000.
DDC Class
600: Technik
620: Ingenieurwissenschaften
More Funding Information
Supported by the NASA Langley NRA Cooperative Agreement under Grant no. NNX12AM55A entitled “Analytical Validation Tools for Safety Critical Systems Under Loss-of-Control Conditions”.