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中文摘要：
压电陶瓷因其具有的响应速度快,精度高等优点被广泛应用于微操作、微纳米定位等系统中,但是由于它具有迟滞特性对其应用的影响,针对压电陶瓷的迟滞特性提出了一种简单的数学建模方法,该模型建模简单,运算量比PI迟滞算子大大减小,拟合方法曲线较平滑,克服了PI迟滞算子拟合出现的毛刺问题,且拟合精度较高,拟合误差在1%左右,采用椭圆极坐标方式对迟滞特性进行建模.并通过实验验证了该建模方法的可行性和精确性.
英文摘要：
Piezoelectric ceramics are widely used as actuators in micro and nano positioning systems,due to their characteristics of fast frequency response and high positional precision.On the other hand,piezoelectric ceramics have the characteristics of hysteretic,and this limits the usefulness of piezoelectric ceramics in some applications.To deal with this problem,the authors developed a simple mathematical modeling method that makes use of polar coordinates.An advantage of this method is that it simplifies the identification procedure of its inverse model.Computational requirements are greatly reduced compared with the predictive informatics（PI） model,moreover,its fitting curve is smooth,overcoming the burr phenomena of the PI model.The proposed hysteresis model can provide high precision with a 1% fitting error.Experimental results indicated that the proposed model has very strong advantages,making it useful in many applications.
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