On the linear compensation of hysteresis

Compensation for hysteresis often relies on a precise system model. This makes controller design complicated and time consuming. In this paper, the Preisach hysteresis model is interpreted in terms of phase shift. This leads to a simple linear compensator design methodology. The closed-loop connection of a compensator that we call a phaser with a nonlinear system with hysteresis is shown to produce an almost linear response in a given operating range. The present method is advantageous for its simplicity and robustness and requires the identification of only one parameter. This result is experimentally applied to the control of a piezoceramic actuator.