Reduction of major and minor hysteresis loops in a piezoelectric actuator

This paper addresses the compensation of major and minor hysteresis loops using an operator termed a phaser, which shifts the phase of a periodic signal by an amount φ. For periodic inputs, hysteresis can be approximated by a phaser with a negative phase shift opening the possibility of cascade compensation. Since in actual hysteresis the phase shift varies according to the size of the input, giving rise to minor loops, the possibility exists to handle the compensation of minor loops by using phasors which vary the phase shift according to the magnitude of the input in an inverse fashion. In this paper, this technique is applied to the compensation of a piezoelectric actuator