A simple bookkeeping scheme for computing sensitivities of symbolic transfer functions

A method of computing the normalized sensitivities of symbolic transfer functions is presented here for utilization in design applications which can take advantage of the stored symbolic transferfunction coefficients that are generated by recently developed symbolic transfer-function generation algorithms. The normalized sensitivities are computed in terms of quantities that are generated by the transferfunction generation algorithm, so that no additional differentiation or analysis is needed. Matrix formulation of the sensitivities further simplifies the acquisition. In addition, second-order sensitivities are shown to be obtainable in terms of first-order sensitivities.