压电陶瓷作动器的率相关迟滞建模与内模控制  

Modeling of Rate-dependent Hysteresis and Internal Model Control of Piezoelectric Ceramic Actuators

作　　者：贾高欣 王贞艳[1] JIA Gaoxin;WANG Zhenyan(school of Electronical and Information Engineering,Taiyuan University of Science and Technology,Shanxi 030024,Chain)

机构地区：[1]太原科技大学电子信息工程学院,山西太原030024

出　　处：《压电与声光》2019年第1期130-134,共5页Piezoelectrics & Acoustooptics

基　　金：山西省青年科技研究基金资助项目(No.201701D221108);山西省研究生教育改革基金资助项目(No.2017JG77)

摘　　要：针对压电陶瓷作动器的率相关迟滞特性,建立了基于广义Bouc-Wen模型的Hammerstein率相关迟滞非线性模型,分别以广义Bouc-Wen模型和自回归历遍模型来代表Hammerstein模型中的静态非线性部分和线性动态部分,并辨识模型参数。在此基础上,得到Hammerstein模型的逆模型,通过构造其正、逆模型设计了内模控制方案,最后在试验平台上对控制方案进行了验证。实验结果表明,对100Hz以内期望信号的跟踪控制相对误差均小于9%,证明了所提出的模型和内模控制策略的有效性。Aiming at the rate-dependent hysteresis characteristics of piezoelectric ceramic actuators, a Hammerstein rate-dependent hysteresis nonlinear model based on the generalized Bouc-Wen model is established. The generalized Bouc-Wen model and the autoregressive exogenous model are used to represent the static nonlinear part and the linear dynamic part in the Hammerstein model respectively, and the model parameters are identified. On this basis, the inverse model of Hammerstein model is obtained, and the internal model control scheme is designed by constructing its forward and inverse models. Finally, the control scheme is verified on the experimental platform. The experimental results show that the relative error of tracking control for the desired signal in the range of 100 Hz is less than 9%, which proves the effectiveness of the proposed model and internal model control strategy.

关 键 词：压电陶瓷作动器 率相关迟滞非线性 HAMMERSTEIN模型 广义Bouc-Wen模型 内模控制 

分 类 号：TN384[电子电信—物理电子学] TN384