A model for asymmetric hysteresis of piezoelectric actuators

作者：Qiu Jin Hao^*; Chen Hai Rong; Chen Yuan Sheng; Du Jian Zhou

来源：Nanotechnology and Precision Engineering, 2012, 10(3): 189-197.

• Asymmetric hysteresis
• Feed-forward controllers
• Feedback controller
• Feedforward and feedback control
• Hysteresis compensation
• Hysteresis modeling
• Input and outputs
• Inverse models
• Maxwell models
• New model
• PID
• Program optimization
• Symmetry properties
• Tracking errors

To compensate for the asymmetric hysteresis of piezoelectric actuators, a modified Maxwell model was proposed. The classic Maxwell model developed by Goldfarb is a linear superstition of many single elasto-silde elements, which inherits the symmetry property of the element. To describe the asymmetric hysteresis of piezoelectric actuators, a new model with modified element was proposed for hysteresis modeling. The loop formed by a single elasto-silde element is symmetric, but the modified element shows an asymmetry loop like trapezoid. Two triangle operators which are equal to one modified element were designed for program optimization. To validate the proposed model, a series of experiments were performed on a piezoelectric stage. A feedforward controller based on the new model was designed to compensate for the hysteresis of the stage, and a feedback controller was designed to reduce the tracking error. The results show that the maximum of relative tracking error was 0.53% with feedforward and feedback control, but it was 1.56% with feedforward control and 7.37% without control. It indicates that the proposed model can accurately describe the asymmetric hysteresis of piezoelectric actuators, and that the relationship between input and output is linearized by the inverse model.

• 出版日期2012
• 单位南京航空航天大学