Generalizing periodically time-varying measurements with a parameter-varying input-output model

In many real-life systems, the dynamic behavior varies periodically in time, as a function of an external scheduling parameter. Although it is possible to capture these changing dynamics with a periodically time-varying model, no prediction can be made for a new trajectory of the time variation. In this paper, we extract a more general (non-parametric) parameter-varying model, from a set of periodically time-varying measurements on a parameter-varying bandpass filter.