An adaptive inverse method of control for a piezoelectric actuator

Hysteresis hinders the wider applicability of piezoelectric actuators. In this paper, a mathematical model is proposed for describing hysteresis precisely. On the basis of the hysteresis model, an adaptive inverse control approach is presented, for reducing hysteresis. The weights of the inverse hysteresis model are identified by using a least-mean-squares algorithm. The realization of an adaptive inverse controller for the linearization of a piezoelectric actuator is formulated. Experiments were performed on a micropositioning system driven by piezoelectric actuators. The experimental results demonstrate that the maximum linearity error caused by hysteresis is lowered by about one order of magnitude.