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Parametric Macromodeling using Interpolation of Sylvester based State-space Realizations

A novel state-space realization for parametric macromodeling is proposed in this paper. A judicious choice of the state-space realization is required to account for the generally assumed smoothness of the state-space matrices with respect to the design parameters. This 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 parametric macromodels. The key points are the choice of a proper pivot matrix and the solution of a Sylvester equation for pole placement. Pertinent numerical examples validate the proposed state-space realization for parametric macromodeling.