Choices of Prefilters and Forgetting Factors in Noise-Free Identification

In this contribution we consider the situation where no disturbances act on the system to be identified, but where - as always - it is not possible to find a model structure that exactly accommodates the true systems. The transient and asymptotic properties of the obtained estimates in this situation are considered. Special attention is paid to the practical problem of obtaining good adaptation properties by appropriate choices of forgetting factor refilters.