Model Reduction for Parametric Systems Using Balanced Truncation and Interpolation

被引:47
作者
Baur, Ulrike [1 ]
Benner, Peter [1 ]
机构
[1] Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany
关键词
Parametric model order reduction; balanced truncation; interpolation; sparse grids;
D O I
10.1524/auto.2009.0787
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper presents a parameter-preserving approach for model order reduction of parameterized, linear systems. The proposed method is a coupling of balanced truncation with interpolation. Thus, error estimates for the quality of the reduced-order system can be derived. The method can be applied to systems containing several parameters by using sparse grids for the discretization of the parameter space.
引用
收藏
页码:411 / 419
页数:9
相关论文
共 32 条
[1]  
[Anonymous], P APPL MATH MECH
[2]  
Badía JM, 2002, LECT NOTES COMPUT SC, V2400, P687
[3]  
Badía JM, 2006, LECT NOTES COMPUT SC, V3732, P267
[4]   High dimensional polynomial interpolation on sparse grids [J].
Barthelmann, V ;
Novak, E ;
Ritter, K .
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2000, 12 (04) :273-288
[5]   GRAMIAN-BASED MODEL REDUCTION FOR DATA-SPARSE SYSTEMS [J].
Baur, Ulrike ;
Benner, Peter .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2008, 31 (01) :776-798
[6]   Solving large-scale control problems [J].
Benner, P .
IEEE CONTROL SYSTEMS MAGAZINE, 2004, 24 (01) :44-59
[7]  
BOND B, 2005, P IEEE C COMP AID DE
[8]  
BUNGARTZ H, 1992, THESIS TU MUNCHEN
[9]   A multiparameter moment-matching model-reduction approach for generating geometrically parameterized interconnect performance models [J].
Daniel, L ;
Siong, OC ;
Chay, LS ;
Lee, KH ;
White, J .
IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 2004, 23 (05) :678-693
[10]  
Eid R, 2007, SENSOR MATER, V19, P149