Abstract
AbstractIn this paper, iterative procedure for partial fraction approximation of vector functions in Laplace domain is presented. First, the essentials of the original formulation of vector fitting methodology for strictly proper rational approximations are outlined. Then a modification is presented for more efficient application to vector functions. Proposed modification reduces the problem of fitting all elements of vector function to fitting only some of them and sum of the rest. After the set of common poles is obtained, the residues are calculated for all functions as usual. Next, the algorithm for adaptive rational approximation of vector functions is thoroughly presented. Proposed technique consists of successive determination of partial fraction approximations with increasing orders until the specified convergence criterion is satisfied. Detailed results of the numerical example are provided to assess accuracy and efficiency of the proposed procedure.KeywordsLaplace transformVector fittingAdaptive rational approximationVector function
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