1. Guaranteed Passive Parameterized Macromodeling by Using Sylvester State-Space Realizations.
- Author
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Samuel, Elizabeth Rita, Knockaert, Luc, Ferranti, Francesco, and Dhaene, Tom
- Subjects
- *
INTERPOLATION , *PARAMETERIZATION , *SYLVESTER matrix equations , *NUMERICAL analysis , *STABILITY theory - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2013
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