A Hammerstein-based Model for Rate-dependent Hysteresis in Piezoelectric Actuator

作     者：Zhenyan Wang 1,2 , Zhen Zhang 1 , Jianqin Mao 1 , Kemin Zhou 3 1.School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191,China 2. School of Electronical and Information Engineering, Taiyuan University of Science and Technology, Taiyuan, 030024, China 3. School of Electrical Engineering, Southwest Jiaotong University, Chengdu, 610031, China 

会议名称：《第24届中国控制与决策会议》

会议日期：2012年

学科分类：080903[工学-微电子学与固体电子学] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 080501[工学-材料物理与化学] 0805[工学-材料科学与工程（可授工学、理学学位）] 080502[工学-材料学] 

基　　金：supported by the state Key-Program of National Natural Science Foundation of P.R.China under Grant 91016006 the Fundamental Research Funds for the Central Universities of China 

关 键 词：Hammerstein Bouc-Wen Rate-dependent Piezoelectric actuator 

摘      要：Most smart materials used in engineering applications have rate-dependent hysteresis nonlinearity. In this paper, a Hammerstein-based model is proposed to describe the dynamic characteristics of rate-dependent hysteresis in piezoelectric actuator. A Bouc-Wen model is used to approximate the static nonlinear characteristic while a linear dynamic model is constructed to capture the rate-dependent property of the hysteresis. Firstly, Bouc-Wen model parameters are optimized with particle swarm optimization （PSO） algorithm to model the static hysteresis nonlinearity. Based on this constructed static hysteresis nonlinear model, a recursive least squares （RLS） algorithm is utilized to identify the dynamic linear model parameters of Hammerstein model according to the input-output data with rich frequency information. Finally, the experimental results of applying the proposed method to the modeling of rate-dependent hysteresis in a piezoelectric actuator are presented with a 100Hz sinusoidal scanning signal. The model generation capability is verified in the given frequency range from 1Hz to100Hz when the excitation voltage are 40V, 80V, 120V, respectively.