Parametric model order reduction by matrix interpolation;Parametrische ordnungsreduktion mittels matrixinterpolation

At-Automatisierungstechnik

Volumn 58, Issue 8, 2010, Pages 475-484

  Panzer, Heiko ^a   Mohring, Jan ^b   Eid, Rudy ^a   Lohmann, Boris ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b FRAUNHOFER INSTITUTE FOR INDUSTRIAL MATHEMATICS ITWM   (Germany)

Author keywords

Interpolation; LTI systems; Order reduction; Parametric model order reduction

Indexed keywords

EID: 77956284614     PISSN: 01782312     EISSN: None     Source Type: Journal    
DOI: 10.1524/auto.2010.0863     Document Type: Article

References (15)

1. A. Köhler. Parametrische Modellordnungsreduktion im MEMS Entwurf. Tagungsband des GMA-Fachausschusses 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", September 2009.
2. A. C. Antoulas. Approximation of Large-Scale Dynamical Systems. SIAM, Philadelphia, 2005.
3. U. Baur, C.A. Beattie, P. Benner, and S. Gugercin. Interpolatory projection methods for parameterized model reduction. Chemnitz Scientific Computing Preprints 09-08, TU Chemnitz, November 2009.
4. U. Baur and P. Benner. Modellreduktion für parametrisierte Systeme durch balanciertes Abschneiden und Interpolation. Automatisierungstechnik, 57(8), 2009.
5. L. Daniel, O. Siong, K. Lee, and J. White. A multiparameter moment matching model reduction approach for generating geometrically parameterized interconnect performance models. IEEE Trans. on Computer-Aided Design of Integrated Circuits and Systems, 5:678-693, 2004.
6. L.P. de Olivera, M.M. da Silva, P. Sas, H. Van Brussel, and W. Desmet. Concurrent mechatronic design approach for active control of cavity noise. Journal of Sound and Vibration, 314(3-5):507-525, July 2008.
7. R.W. Freund. Model reduction methods based on Krylov subspaces. Acta Numerica, 12:267-319, 2003.
8. R. Craig Jr. and M. C. Bampton. Coupling of Substructures for Dynamic Analysis. AIAA, 6(7):1313-1319, 1968.
9. A. T. Leung and R. Khazaka. Parametric model order reduction technique for design optimization. Proc. Intl. Symp. Circuits Syst., pages 1290-1293, 2005.
10. J.Mohring, A. Wirsen, J. Stoev, S. Lefteriu,M. Kurch, and N.Mercan. Parametric model reduction of systems for active noise control. In Proc. of the 16th International Congress on Noise ans Vibration, Krakau, Poland, July 2009.
11. B. C. Moore. Principal Component Analysis in Linear Systems: Controllability, Observability and Model Reduction. IEEE Trans. Aut. Control, AC-26:17-32, 1981.
12. H. Panzer, J. Hubele, R. Eid, and B. Lohmann. Generating a parametric finite element model of a 3d cantilever timoshenko beam using matlab. Technical reports on automatic control, Lehrstuhl für Regelungstechnik, Technische Universität München, November 2009.
13. L. Peng, F. Liu, L. T. Pileggi, and S. R. Nassif. Modeling interconnect variability using efficient parametric model order reduction. In Proc. of the Design, Automation and Test In Europe Conference and Exhibition, Munich, Germany, 958-963 2005.
14. A. Varga. Enhanced modal approach for model reduction. Math. Model. Syst., 1:91-105, 1995.
15. D. S. Weile, E.Michielssen, E. Grimme, and K. Gallivan. A method for generating rational interpolant reduced order models of twoparameters linear systems. Appl. Math. Letters, 12:93-102, 1999.