DocumentCode :
828617
Title :
Resampling Plans for Sample Point Selection in Multipoint Model-Order Reduction
Author :
Silveira, Luis Miguel ; Phillips, Joel R.
Author_Institution :
INESC ID/IST, Tech. Univ. Lisbon
Volume :
25
Issue :
12
fYear :
2006
Firstpage :
2775
Lastpage :
2783
Abstract :
Multipoint projection methods have gained much notoriety in model-order reduction of linear, nonlinear, and parameter-varying systems. A well-known difficulty with such methods lies in the need for clever point selection to attain model compactness and accuracy. In this paper, the authors present a method for sample point selection in multipoint projection-based model-order reduction. The proposed technique, which is borrowed from the statistical modeling area, is based on resampling schemes to estimate error and can be coupled with recently proposed order reduction schemes to efficiently produce accurate models. Two alternative implementations are presented: 1) a rigorous linear-matrix-inequality-based technique and 2) a simpler, more efficient, heuristic search. The goal of this paper is to answer two questions. First, can this alternative metric be effective in selecting sample points in the sense of placing points in regions of high error without recourse to evaluation of the larger system? Second, if the metric is effective in this sense, under what conditions are substantial improvements in the model reduction efficiency achieved? Results are shown that indicate that the metric is indeed effective in a variety of settings, therefore opening the possibility for performing adaptive error control
Keywords :
circuit CAD; heuristic programming; linear matrix inequalities; parameter estimation; reduced order systems; sampling methods; adaptive error control; boosting; error estimation; heuristic search; linear matrix inequality; model-order reduction; multipoint projection; parameter-varying systems; resampling plans; sample point selection; Adaptive control; Algorithm design and analysis; Electromagnetic analysis; Error correction; Frequency; Integrated circuit interconnections; Integrated circuit modeling; Laboratories; Programmable control; Reduced order systems; Boosting; model order reduction; multipoint projection; parameter-varying systems; resampling;
fLanguage :
English
Journal_Title :
Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0278-0070
Type :
jour
DOI :
10.1109/TCAD.2006.882477
Filename :
4014551
Link To Document :
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