2 Inputs — 2 outputs hysteresis model for piezoelectric actuators

Piezoelectrics devices are often employed in tasks, as micropositioning, vibration compensation, where an accurate modeling would improve the device performance. Modeling of macroscopic behavior is usually tackled by using 1-input 1-output operators (displacement vs electric field or voltage vs stress), while it is well known that piezos are smart materials and the 4 variables are all coupled. Therefore, a 2-inputs 2-outputs hysteresis model would provide benefit. In this paper, a recently 2-inputs 2-outputs model proposed for magnetostriction is extended to piezoelectric behavior. The model can be developed by using a modified simple play operators superposition and the concept of hysteresis potential. Comparison with experiments on a piezoelectric actuator confirms that such an approach is able to reproduce the macroscopic behavior with sufficient accuracy.