Modeling and H∞ composite control of the coupled hysteretic dynamics in piezoelectric micro-displacement systems

This paper investigates the modeling and H_∞ composite control of the coupled hysteretic dynamics in a piezoelectric micro-displacement system (PMS). First, the coupled multi-field hysteretic dynamics with physical meanings is presented for PMS. Next, the composite control analysis of the hysteretic dynamics is proposed. Then, a H_∞ synthesis controller is designed by using the simplified hysteretic dynamics. To enhance the H_∞ performance, the inversion-based feedforward compensation is augmented. The proposed H_∞ feedback control and the inversion-based feedforward can be designed separately. Finally, the experimental studies are provided to demonstrate the proposed H_∞ composite control approach.