Adaptive control for a class of hysteretic systems

In this paper, the Generalized Prandtl-Ishlinskii model is used to design an adaptive controller for a class of nonlinear systems which contain hysteresis phenomenon in their internal dynamics. In contrast to the systems in which hysteresis appears in their input, the inverse based methods can not be applied to systems with hysteresis in their states. The proposed controller is able to cope with different kinds of hysteresis nonlinearity (saturated and unsaturated). The effectiveness of the proposed method is evaluated through simulated examples.