Stability preservation for parametric model order reduction by matrix interpolation

2014 ◽  
Author(s):  
Matthias Geuss ◽  
Heiko K. F. Panzer ◽  
Thomas Wolf ◽  
Boris Lohmann
Keyword(s):  
Model Order Reduction ◽  
Order Reduction ◽  
Parametric Model ◽  
Model Order ◽  
Parametric Model Order Reduction ◽  
Matrix Interpolation

scholarly journals An adaptive sampling procedure for parametric model order reduction by matrix interpolation

2019 ◽  
Vol 39 (4) ◽  
pp. 821-834
Author(s):  
Ying Liu ◽  
Hongguang Li ◽  
Huanyu Du ◽  
Ningke Tong ◽  
Guang Meng
Keyword(s):  
Adaptive Sampling ◽  
Model Order Reduction ◽  
Order Reduction ◽  
Parametric Model ◽  
Sampling Procedure ◽  
Model Order ◽  
Reduced Order ◽  
Parametric Model Order Reduction ◽  
Error Indicator ◽  
Matrix Interpolation

An adaptive sampling approach for parametric model order reduction by matrix interpolation is developed. This approach is based on an efficient exploration of the candidate parameter sets and identification of the points with maximum errors. An error indicator is defined and used for fast evaluation of the parameter points in the configuration space. Furthermore, the exact error of the model with maximum error indicator is calculated to determine whether the adaptive sampling procedure reaches a desired error tolerance. To improve the accuracy, the orthogonal eigenvectors are utilized as the reduced-order basis. The proposed adaptive sampling procedure is then illustrated by application in the moving coil of electrical-dynamic shaker. It is shown that the new method can sample the parameter space adaptively and efficiently with the assurance of the resulting reduced-order models’ accuracy.

scholarly journals Robust Passivity Preserving Parametric Model Order Reduction using Matrix Interpolation

2012 ◽  
Vol 45 (13) ◽  
pp. 717-722 ◽  
Author(s):  
Elizabeth Rita Samuel ◽  
Francesco Ferranti ◽  
Luc Knockaert ◽  
Tom Dhaene
Keyword(s):  
Model Order Reduction ◽  
Order Reduction ◽  
Parametric Model ◽  
Model Order ◽  
Parametric Model Order Reduction ◽  
Matrix Interpolation
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