Stability of control for the Preisach hysteresis model

The motivation for this research arises from interest in actuators made from "smart materials" such as shape memory alloys and piezoceramics. One common characteristic among these new materials is that they exhibit complex hysteresis nonlinearities. The input-output nature of the Preisach model of hysteresis results in a simple model for which identification strategies are known, and implementation is straightforward both in simulation and real-time control. This paper examines the passivity of the Preisach model, and the stability of velocity feedback control for hysteretic actuators.