Families of moment matching-based reduced order models for linear descriptor systems

作者: Philipp Schulze , Tudor C. Ionescu , Jacquelien M. A. Scherpen

DOI: 10.1109/ECC.2016.7810579

关键词:

摘要: In this paper a moment-matching procedure for descriptor systems is presented. Based on time-domain notion of moments, parametrized families reduced order models matching the moments original system are derived. An example exploiting flexibility choosing free matrix parameters demonstrated by achieving two-sided moment matching, i.e., obtaining ν 2ν moments. context, connection with Loewner framework shown which special case presented in paper.

参考文章(20)
Eric James Grimme, Krylov Projection Methods for Model Reduction University of Illinois at Urbana Champaign. ,(1997)
Serkan Gugercin, Christopher A. Beattie, Model Reduction by Rational Interpolation arXiv: Numerical Analysis. ,(2014)
Peter Benner, Mohammad-Sahadet Hossain, Tatjana Stykel, Model Reduction of Periodic Descriptor Systems Using Balanced Truncation Lecture Notes in Electrical Engineering. pp. 193- 206 ,(2011) , 10.1007/978-94-007-0089-5_11
K. PEREV, B. SHAFAI, Balanced realization and model reduction of singular systems International Journal of Systems Science. ,vol. 25, pp. 1039- 1052 ,(1994) , 10.1080/00207729408929014
Wenhui Zhao, G. K. H. Pang, Ngai Wong, Automatic adaptive multi-point moment matching for descriptor system model order reduction international symposium on vlsi design, automation and test. pp. 1- 4 ,(2013) , 10.1109/VLDI-DAT.2013.6533818
Tatjana Stykel, Gramian-Based Model Reduction for Descriptor Systems Mathematics of Control, Signals, and Systems. ,vol. 16, pp. 297- 319 ,(2004) , 10.1007/S00498-004-0141-4
Svein Hovland, Jan Tommy Gravdahl, Karen E. Willcox, Explicit Model Predictive Control for Large-Scale Systems via Model Reduction Journal of Guidance Control and Dynamics. ,vol. 31, pp. 918- 926 ,(2008) , 10.2514/1.33079
Tudor C. Ionescu, Alessandro Astolfi, Moment matching for nonlinear port Hamiltonian and gradient systems IFAC Proceedings Volumes. ,vol. 46, pp. 395- 399 ,(2013) , 10.3182/20130904-3-FR-2041.00160
Matthias Heinkenschloss, Danny C. Sorensen, Kai Sun, Balanced Truncation Model Reduction for a Class of Descriptor Systems with Application to the Oseen Equations SIAM Journal on Scientific Computing. ,vol. 30, pp. 1038- 1063 ,(2008) , 10.1137/070681910