On the adaptive control of systems preceded by saturated hysteresis

For the systems preceded by smart actuators which exhibit hysteresis nonlinearities with saturation property, the main task is to develop a control approach to mitigate effects caused by these saturated hysteresis nonlinearities. As an illustration, by adopting a saturated-type Prandtl-Ishlinskii model combined by play operator to describe these saturated hysteresis phenomena, a model adaptive reference control approach is proposed in this paper to show the access of mitigating the effects of the preceded saturated hysteresis. The global boundedness of the closed-loop system and tracking a desired trajectory with proper precision are achieved. The effectiveness of the proposed control approach is demonstrated through simulation example.