Dynamic systems response simulation by framing residue and resolvent matrices |
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| Authors: | FL N-Nagy |
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| Institution: | University of Salford, Electric Engineering Department, Salford M5 4WT, Lancs., U.K. |
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| Abstract: | This paper describes the derivation of Heaviside's decomposition in matrix frame presentation. For simplicity, the response transform having one multiple pole and any number of distinct poles is considered. There is no restriction on the number and the order of zeros. The aim is to avoid the repeated differentiations in the algorithm for the computation of both residue and constituent coefficients about the multiple pole. This will be referred to as the RRM (Residue and Resolvent Matrices) method and adopted to time response derivation of dynamic systems. The RRM method is also applicable as a mathematical catalyst to the algebraic solution of differentiation and integration of complex functions in the s domain used for system optimisation. |
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