压电陶瓷片迟滞补偿建模及悬臂梁主动控制研究

摘要

为增强压电悬臂梁振动控制效果,提出一种基于最小二乘法的逆迟滞补偿控制算法.在不同电压下对压电陶瓷片位移进行实测,应用最小二乘法对其迟滞环进行多项式拟合建模,并利用压电片逆迟滞补偿模型对控制电压进行补偿.通过悬臂梁振动主动控制试验系统研究PID控制器在有、无逆迟滞补偿时的控制效果.结果表明:经过PID逆迟滞补偿后的主动控制效果比传统PID提高10.083 %.因此,该逆迟滞补偿方法能够有效增强压电陶瓷片的主动控制效果,对于压电悬臂梁振动主动控制具有重要参考价值.%In order to improve the vibration control effects of the piezoelectric cantilever beams,an inverse hysteresis compensation control method based on least squares algorithm is presented.The displacements of the lead zirconate titanate (PZT) patch under different voltages are measured, and the hysteresis loop model of the PZT patch is fitted with the polynomial via least squares algorithm. Using the inverse hysteretic compensation model of the PZT patch, the control voltage is compensated.Through the active vibration control experiments of the piezoelectric cantilever beam, the control effects of the PID controller with or without inverse hysteresis compensation are systematically studied.The results show that the active control effect of PID controller with inverse hysteresis compensation is 10.083 % higher than the traditional PID controller.Thus, the inverse hysteresis compensation method can effectively improve the active control effects of the PZT patch,which is of great reference value for active vibration control of piezoelectric cantilever beams.