Resonator-Based Nonparametric Identification of Linear Systems

Abstract

A nonparametric identification method for linear systems is proposed. The identification is done via synchronized multisine measurements where the synchronization is ensured by a resonator-based generator-observer pair. The advantage of the proposed structure is that it works as a filter bank and, hence, provides the measurement results online. Exponential averaging is an option of the method and it requires no extra calculations. A further advantage is that the identification can be done over any frequency set without any loss of performance. Explicit formulas are given for noise suppression and settling time. The method is illustrated by practical examples.