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Guaranteed passive parameterized macromodeling by using Sylvester state-space realizations
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- journalArticle
- info:eu-repo/semantics/article
- info:eu-repo/semantics/publishedVersion
- Technology and Engineering
- OBSERVABILITY
- IDENTIFICATION
- CONTROLLABILITY
- SYSTEMS
- TABULATED DATA
- MODEL-REDUCTION
- FREQUENCY-DOMAIN
- ENFORCEMENT
- ALGORITHM
- Interpolation
- parameterized macromodeling
- rational approximation
- state-space matrices
- Sylvester equation