Integrated equations reconstruction from scalar time series of periodically driven phase-locked loop system

This work aims to develop a technique for identification of the equations of the phase-locked loop system with band pass filter under periodic external driving using a scalar time series. To provide high resistance against measurement noise we suggest to reconstruct a time-integrated model rather than the original system. The proposed approach was shown to be much more efficient than previously developed ones, in particular, it allows robust identification of the system and precise enough estimation of some its parameters even when 10% from RMS measurement noise is present.