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Frequency response computation via rational interpolation

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3 Author(s)
Kenney, C. ; Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA ; Laub, A.J. ; Stubberud, S.

A simple rational interpolation method is given for estimating a frequency response matrix. The method is based on a generalization of the resolvent identity that avoids the potential inaccuracies introduced by the subtraction of nearly equal values in the calculation of the difference terms. When coupled with a pole cancellation method, the resulting interpolation algorithm is accurate and efficient. The error in this procedure has the form of a modified response matrix, which means that the interpolation algorithm can be used to approximate both the response matrix and the error

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Automatic Control, IEEE Transactions on  (Volume:38 ,  Issue: 8 )