Vibration control of flexible arm with hysteresis of piezoelectric actuator

In this paper, nonlinear vibration control of flexible arm using piezoelectric actuator is proposed. The actuator is with hysteresis described by Prandtl-Ishlinskii (PI) model. Based on the concept of Lipschiz operators and robust right coprime factorization, nonlinear vibration controller is proposed. Further, a tracking operator design method is given to ensure the control system performance. Finally, simulation results are presented to support the effectiveness of the proposed design.