Adaptive Control for 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 the output of the hysteresisis described by Preisach model is discussed. Furthermore, the adaptive control for the discrete time 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. Simulation results show the effectiveness of the proposed algorithms.