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Guaranteed passive parameterized macromodeling by using Sylvester state-space realizations

Elizabeth Rita Samuel (UGent) , Luc Knockaert (UGent) , Francesco Ferranti (UGent) and Tom Dhaene (UGent)
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Abstract
A novel state-space realization for parameterized macromodeling is proposed in this paper. A judicious choice of the state-space realization is required in order to account for the assumed smoothness of the state-space matrices with respect to the design parameters. This technique is used in combination with suitable interpolation schemes to interpolate a set of state-space matrices, and hence the poles and residues indirectly, in order to build accurate parameterized macromodels. The key points of the novel state-space realizations are the choice of a proper pivot matrix and a well-conditioned solution of a Sylvester equation. Stability and passivity are guaranteed by construction over the design space of interest. Pertinent numerical examples validate the proposed Sylvester realization for parameterized macromodeling.
Keywords
OBSERVABILITY, IDENTIFICATION, CONTROLLABILITY, SYSTEMS, TABULATED DATA, MODEL-REDUCTION, FREQUENCY-DOMAIN, ENFORCEMENT, ALGORITHM, Interpolation, parameterized macromodeling, rational approximation, state-space matrices, Sylvester equation

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Citation

Please use this url to cite or link to this publication:

Chicago
Samuel, Elizabeth Rita, Luc Knockaert, Francesco Ferranti, and Tom Dhaene. 2013. “Guaranteed Passive Parameterized Macromodeling by Using Sylvester State-space Realizations.” Ieee Transactions on Microwave Theory and Techniques 61 (4): 1444–1454.
APA
Samuel, E. R., Knockaert, L., Ferranti, F., & Dhaene, T. (2013). Guaranteed passive parameterized macromodeling by using Sylvester state-space realizations. IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 61(4), 1444–1454.
Vancouver
1.
Samuel ER, Knockaert L, Ferranti F, Dhaene T. Guaranteed passive parameterized macromodeling by using Sylvester state-space realizations. IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES. 2013;61(4):1444–54.
MLA
Samuel, Elizabeth Rita, Luc Knockaert, Francesco Ferranti, et al. “Guaranteed Passive Parameterized Macromodeling by Using Sylvester State-space Realizations.” IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES 61.4 (2013): 1444–1454. Print.
@article{3260128,
  abstract     = {A novel state-space realization for parameterized macromodeling is proposed in this paper. A judicious choice of the state-space realization is required in order to account for the assumed smoothness of the state-space matrices with respect to the design parameters. This technique is used in combination with suitable interpolation schemes to interpolate a set of state-space matrices, and hence the poles and residues indirectly, in order to build accurate parameterized macromodels. The key points of the novel state-space realizations are the choice of a proper pivot matrix and a well-conditioned solution of a Sylvester equation. Stability and passivity are guaranteed by construction over the design space of interest. Pertinent numerical examples validate the proposed Sylvester realization for parameterized macromodeling.},
  author       = {Samuel, Elizabeth Rita and Knockaert, Luc and Ferranti, Francesco and Dhaene, Tom},
  issn         = {0018-9480},
  journal      = {IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES},
  keyword      = {OBSERVABILITY,IDENTIFICATION,CONTROLLABILITY,SYSTEMS,TABULATED DATA,MODEL-REDUCTION,FREQUENCY-DOMAIN,ENFORCEMENT,ALGORITHM,Interpolation,parameterized macromodeling,rational approximation,state-space matrices,Sylvester equation},
  language     = {eng},
  number       = {4},
  pages        = {1444--1454},
  title        = {Guaranteed passive parameterized macromodeling by using Sylvester state-space realizations},
  url          = {http://dx.doi.org/10.1109/TMTT.2013.2247049},
  volume       = {61},
  year         = {2013},
}

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