Adaptive control for continuous-time systems preceded by hysteresis

In this paper, an implicit inversion of the hysteresis described by Prandtl-Ishlinskii 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 hysteresis is described by Prandtl-Ishlinskii model is discussed. Furthermore, the adaptive control for the continuous-time linear dynamical systems preceded with hysteresis described by Prandtl-Ishlinskii model is formulated. The stability of the controlled systems are analyzed and the output tracking errors can be controlled to be zero. Simulation results show the effectiveness of the proposed algorithms.

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