压电陶瓷执行器的类Hammerstein模型及其参数辨识  

Hammerstein-based model of piezoceramic actuator and its identification

作　　者：赖志林[1] 刘向东[1] 耿洁[1] 

机构地区：[1]北京理工大学自动化学院复杂系统智能控制与决策重点实验室,北京100081

出　　处：《光学精密工程》2012年第9期2087-2094,共8页Optics and Precision Engineering

基　　金：国家自然科学基金资助项目(No.10872030);国家重点基础研究发展计划(973计划)资助项目(No.2012CB720000);北京市自然科学基金资助项目(No.4122066)

摘　　要：针对压电陶瓷执行器的迟滞非线性对压电陶瓷精密定位的影响,提出了应用类Hammerstein模型对压电陶瓷执行器进行建模的方法。建立了压电陶瓷执行器的迟滞模型并且描述其频率相关性。利用类Hammerstein模型把压电陶瓷执行器看成静态迟滞模型和动态二阶系统的串联,其中静态模型由分类排序的Preisach模型进行描述,二阶系统应用遗传算法辨识其参数。实验结果表明:加入二阶系统后,类Hammerstein模型对频率的相关性有较大增强,其误差相应地大幅降低,在800Hz时平均绝对误差为0.339 2μm;而由Preisach建立的迟滞模型的误差随着频率的增大而大幅增大,在800Hz为0.888 1μm。For the effect of hysteretic linearity of a piezoceramic actuator on nano-positioning system, a modeling method based on Hammerstein model was proposed. The Hammerstein-based model for the piezoceramic actuator was established and its frequency dependence was described. By using the Ham- merstein model, the piezoceramic actuator was taken as a static hysteretic model couple with a dyamie second-order system, and the former was described by the Preisach model and the latter was identified by the genetic algorithm. The experimental results show that the frequency dependence of the Ham- merstein-based model is improved after adding the second order system, correspondingly, the error is decreased greatly. In 800 Hz, the absolute average tracking error of the Hammerstein-based model is 0. 339 2 μm, which is less than that of the Preisach model in 0. 888 1 μm.

关 键 词：压电陶瓷执行器 迟滞非线性 HAMMERSTEIN模型 参数辨识 

分 类 号：TN384[电子电信—物理电子学] TP273.1[自动化与计算机技术—检测技术与自动化装置]