On the effect of neglecting sensor dynamics in parameter identification problems

In this paper, we consider a deterministic parameter identification problem for a nonlinear control system subject to disturbances and with output mea sured by a sensor with fast dynamics. We study the effect of neglecting sen sor dynamics on the set of parameter values that are consistent with the me asurements. We show that when neglecting dynamics we must significantly mod ify the corresponding static model of the sensor in order to obtain a set o f parameter values that contains the true value and is consistent with the measurements. We describe a correct model of the static sensor which is in a sense minimal.