Operator-based parallel compensation control for the plants with hysteresis

In this paper, operator-based parallel compensation control for the plants with hysteresis is considered. In order to describe the hysteresis, Prandtl-Ishlinskii hysteresis model with play hysteresis operators is applied. By using properties between play and stop hysteresis operators, a parallel compensator is constructed by the stop hysteresis operators. As a result, the hysteresis dynamics is compensated. According to operator-based right coprime factorization, a feedback stability controller and a tracking controller are designed to guarantee the stability and the output tracking performance. Finally, the numerical simulation results are presented to validate the effectiveness of the proposed method.