Name
Title | ||
|---|---|---|
Model order reduction of fully parameterized systems by recursive least square optimization |
Abstract | ||
|---|---|---|
This paper presents an approach for the model order reduction of fully parameterized linear dynamic systems. In a fully parameterized system, not only the state matrices, but also can the input/output matrices be parameterized. The algorithm presented in this paper is based on neither conventional moment-matching nor balanced-truncation ideas. Instead, it uses "optimal (block) vectors" to construct the projection matrix, such that the system errors in the whole parameter space are minimized. This minimization problem is formulated as a recursive least square (RLS) optimization and then solved at a low cost. Our algorithm is tested by a set of multi-port multi-parameter cases with both intermediate and large parameter variations. The numerical results show that high accuracy is guaranteed, and that very compact models can be obtained for multi-parameter models due to the fact that the ROM size is independent of the number of parameters in our approach.
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Year | DOI | Venue |
|---|---|---|
2011 | 10.1109/ICCAD.2011.6105380 | ICCAD |
Keywords | Field | DocType |
square optimization,balanced-truncation idea,input-output matrices,rom size,reduced order systems,fully parameterized linear dynamic systems,matrix algebra,projection matrix,compact model,recursive least square optimization,large parameter variation,parameterized system,least squares approximations,multi-port multi-parameter case,model order reduction,multi-parameter model,optimal vectors,state matrices,minimization problem,linear dynamic system,multiport multiparameter cases,minimisation,system error,whole parameter space,vectors,parameter space,static analysis,partition,input output,linear dynamical system,cholesky decomposition,multigrid | Least squares,Parameterized complexity,Mathematical optimization,Computer science,Matrix (mathematics),Model order reduction,Projection (linear algebra),Algorithm,Electronic engineering,Minimisation (psychology),Parameter space,Cholesky decomposition | Conference |
ISSN | ISBN | Citations |
1092-3152 E-ISBN : 978-1-4577-1398-9 | 978-1-4577-1398-9 | 2 |
PageRank | References | Authors |
0.41 | 21 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zheng Zhang | 1 | 125 | 12.54 |
| Ibrahim M. Elfadel | 2 | 242 | 44.16 |
| Luca Daniel | 3 | 497 | 50.96 |