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Definition of "sensitivity function" |
a measure of sensitivity of signals or performance functions due to parameter variations or external signals (disturbances, controls). For small changes in parameters, sensitivity functions are partial derivatives of signals or performance functions with respect to the parameters and could be found from linearized models of the system model under study. For linear systems, the sensitivity functions in semilogarithmic form could be obtained from the original system model in some special nodes of its block scheme called sensitivity points. Moreover, for linear time-invariant feedback systems, sensitivity may be defined in frequency domain both for small and large parameter deviations. One way to do this is to compare the output errors due to plant parameter variations in the open-loop and closed-loop nominally equivalent systems. The resulting sensitivity function or for multi-input–multi-output systems, sensitivity matrix S(jω) is given by a return difference function or its matrix generalization, |
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