Application of Memristor-Based Controller for Loop Filter Design in Charge-Pump Phase-Locked Loops

Abstract

In this work, a monotonic increasing piecewise-linear (PWL) memristor-based proportional-integral (PI) controller is analyzed. A periodic rectangular pulse current source is used as the input signal, and the proportionality constant of the PWL memristor-based PI controller is varied according to the amount of charge that passes through the memristor. A circuit is proposed to achieve zero net-charge injection for the memristor so that the memristance of the PWL memristor can be varied in the subsequent period. The proposed PWL memristor-based PI controller can be used in the design of the loop filter for the charge-pump phase-locked loop for achieving a faster dynamical response from an unlocked state to a locked state compared to conventional fixed proportional constant PI controllers.