压电致动器Preisach模型的模糊插值算法及实现  

Fuzzy Interpolation Algorithm and Realization of Preisach Model for Piezo Actuator

作　　者：张建华[1] 葛红宇[1] 李宏胜[1] 方力[1] 

机构地区：[1]南京工程学院自动化学院,江苏南京211167

出　　处：《南京理工大学学报》2011年第6期780-785,共6页Journal of Nanjing University of Science and Technology

基　　金：江苏省自然科学基金(BK2009350);江苏省高校自然科学基金(09KJB460005);南京工程学院校级科研基金(KXJ07004)

摘　　要：为获得运算复杂度、速度、精度均较为理想的迟滞特性建模方法,便于微细精密运动的实时控制,提出了一种新的模糊插值算法。根据压电致动器迟滞特性曲线的几何特征,将其划分为上凸与下凹两类。利用相邻4个等分点的模糊插值模拟曲线的理想输出,分别给出该两类曲线的模糊插值方法。利用上述方法求取位移变化量,得到压电致动器Preisach模型的模糊插值算法。通过标准C语言完成了该算法并在ARM处理器三星S3C2410平台上进行了对比实验。结果表明:传统插值法误差为-0.512～0.073μm、标准差为0.184;压电致动器Preisach模型的模糊插值法误差为-0.347～0.094μm、标准差为0.139,该算法适于基于嵌入式处理器的实时精密控制。To achieve a hysteresis modeling method with ideal computational complexity,velocity and accuracy for real-time control of micro precision motion,a new fuzzy interpolation algorithm is proposed.According to the geometrical characteristics of hysteretic characteristic curves for piezo actuators,the curves are classified into two categories of convex section and notching section.The fuzzy interpolation methods of the two kinds of curves are proposed using the ideal outputs of the fuzzy interpolation simulation curves for four neighboring divided points.A fuzzy interpolation algorithm of Preisach model is developed by calculating displacement variations with the above-mentioned methods.The algorithm is done by standard C Language and the contrast test is done by using an experimental platform of ARM processor Samsung S3C2410.The results show that the error and the standard deviation of the traditional interpolation algorithm are from-0.512 μm to 0.073 μm and 0.184,and those of the fuzzy algorithm are from-0.347 μm to 0.094 μm and 0.139.The algorithm is fit for the real-time precision control of embedded processors.

关 键 词：压电致动器 模糊插值 迟滞特性 传统插值 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]