Control for unknown linear systems preceded by hysteresis represented by preisach model

In this paper, an implicit inversion of the hysteresis described by Preisach model is introduced to avoid difficulties of the directly inverse construction for this kind of complex hysteresis models. Based on this inversion, the adaptive control for unknown linear dynamical systems preceded with hysteresis described by Presaich model is formulated. The stability of the controlled systems is analyzed and zero output tracking error can be eventually achieved. Finally, the proposed algorithm is applied to the position control of the nano-stage driven by magnetostrictive actuator.