Modeling and identification of piezoelectric hysteresis by an asymmetric Bouc-Wen model

详细信息    查看官网全文

• 英文论文题名：Modeling and identification of piezoelectric hysteresis by an asymmetric Bouc-Wen model
• 论文作者：Geng Wang ; Shuaiqi Wang ; Fuzhong Bai
• 英文论文作者：Geng Wang ; Shuaiqi Wang ; Fuzhong Bai ; School of Mechanical and Power Engineering ; Henan Polytechnic University ; College of Mechanical Engineering ; Inner Mongolia University of Technology
• 年：2017
• 作者机构：School of Mechanical and Power Engineering,Henan Polytechnic University;College of Mechanical Engineering,Inner Mongolia University of Technology;
• 英文论文关键词：Asymmetric hysteresis ; particle swarm optimization ; Bouc-Wen model ; piezoelectric actuator
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（B）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
• 语种：英文
• 分类号：TN384
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：6
• 文件大小：240k
• 原文格式：D
• 会议级别：全国

摘要

The motion performance of piezoelectric actuator is restricted by its hysteresis nonlinearity in the application of precision positioning. A novel hysteresis modeling method based on Bouc-Wen model is proposed to describe the asymmetric hysteresis nonlinearity of piezoelectric actuator. Considering the fact that the classical Bouc-Wen model is only a symmetric model, the proposed model is developed for describing the asymmetric hysteresis characteristic of piezoelectric actuator. Different from the commonly used approach for developing asymmetric Bouc-Wen model by introducing parameters to modify the nonlinear component, the proposed model only modified the linear component by introducing a general input function. By this way, the proposed model not only has a relatively simple mathematical form, but also has fewer parameters to characterize the asymmetric hysteresis characteristic. Particle swarm optimization is used to identify the parameters of the proposed model, and different experiments are conducted on a piezoelectric actuator to validate the developed model. Experimental results demonstrate that the asymmetric hysteresis characteristic of hard piezoelectric material can be effectively described by the proposed model.
The motion performance of piezoelectric actuator is restricted by its hysteresis nonlinearity in the application of precision positioning. A novel hysteresis modeling method based on Bouc-Wen model is proposed to describe the asymmetric hysteresis nonlinearity of piezoelectric actuator. Considering the fact that the classical Bouc-Wen model is only a symmetric model, the proposed model is developed for describing the asymmetric hysteresis characteristic of piezoelectric actuator. Different from the commonly used approach for developing asymmetric Bouc-Wen model by introducing parameters to modify the nonlinear component, the proposed model only modified the linear component by introducing a general input function. By this way, the proposed model not only has a relatively simple mathematical form, but also has fewer parameters to characterize the asymmetric hysteresis characteristic. Particle swarm optimization is used to identify the parameters of the proposed model, and different experiments are conducted on a piezoelectric actuator to validate the developed model. Experimental results demonstrate that the asymmetric hysteresis characteristic of hard piezoelectric material can be effectively described by the proposed model.

引文

[1]Yuxin Peng,Yulong Peng,Xiaoyi Gu,Jian Wang,Haoyong Yu.A review of long range piezoelectric motors using frequency leveraged method.Sensors and Actuators A:Physical.2015,235:240-255.
    [2]Geng Wang,Chunlin Guan,Xiaojun Zhang,Hong Zhou and Changhui Rao,Precision control of piezo-actuated optical deflector with nonlinearity correction based on hysteresis model.Optics&Laser Technology 2014,57:26-31.
    [3]Geng Wang and Changhui Rao,Adaptive control of piezoelectric fast steering mirror for high precision tracking application.Smart Materials and Structures 2015,24(3):035019
    [4]A.J.Fleming and S.O.Reza Moheimani,Control orientated synthesis of high-performance piezoelectric shunt impedances for structural vibration control IEEE Trans.Contr.Syst.Technol.2005,13 98-112
    [5]C.H.Ru and L.N.Sun,Improving positioning accuracy of piezoelectric actuators by feedforward hysteresis compensation based on a new mathematical model,Rev.Sci.Instrum.,2005,76(9):095111
    [6]M.A.Krasnosel’skii and A.V.Pokrovskii,Systems with hysteresis Berlin,Germany:Springer-Verlag,1989
    [7]M.Brokate and J.Sprekles Hysteresis and phase transitions.New York:Springer-Verlag 1996
    [8]G.Ping and J.Musa,Generalized Preisach model for hysteresis nonlinearity of piezoceramic actuators Precision Eng.1997,20:99–111
    [9]Zhang A.B.and Wang B.L,The influence of Maxwell stresses on the fracture mechanics of piezoelectric materials Mechanics of Materials,2014,68:64-69
    [10]Ikhouane F,Ma?osa V,Rodellar J.Dynamic properties of the hysteretic Bouc-Wen model.Systems&Control Letters,2007,56(3):197-205.
    [11]Zhenyan Wang,Zhen Zhang and Jianqin Mao,Precision tracking control of piezoelectric actuator based on Bouc-Wen hysteresis compensator.Electronics letters.2012,48(23):1459–1460
    [12]Micky Rakotondrabe,Bouc–Wen Modeling and Inverse Multiplicative Structure to Compensate Hysteresis Nonlinearity in Piezoelectric Actuators,IEEE Transactions on Automation Science and Engineering,2011,8,2:428-431
    [13]Yung-Tien Liu,Kuo-Ming Chang,Wen-Zen Li,Model reference adaptive control for a piezo-positioning system,Precision Engineering,2010,34:62–69
    [14]Didace HABINEZA,Micky Rakotondrabe and Yann Le Gorrec,Modeling,identification and feedforward control of multivariable hysteresis by combining Bouc-Wen equations and the inverse multiplicative structure,Proceedings of the American Control Conference,2014,June 4-6,.Portland,Oregon,USA[15]
    [15]Guo-Ying Gu,Li-Min Zhu and Chun-Yi Su,2014,Modeling and Compensation of Asymmetric Hysteresis Nonlinearity for Piezoceramic Actuators with a Modified Prandtl–Ishlinskii Model,IEEE Transactions on Industrial Electronics,61,3:1583-1595
    [16]Gorka Aguirre,Thierry Janssens et al.,Asymmetric-hysteresis compensation in piezoelectric actuators.Mechanical Systems and Signal Processing,2012,30:218–231
    [17]Zhu Wei,Bian Lei Xiang,Rui Xiao Ting,Online parameter identification of the asymmetrical Bouc-Wen model for piezoelectric actuators,Precision Engineering,2014,38:921–927.
    [18]A.Dominguez,R.Sedaghati,I.Stiharu,Modeling and application of MR dampers in semi-adaptive structures,Computers and Structures 86(3-5)(2008)407–415.
    [19]K.Liao,Y.Wen,D.A.Foutch,Evaluation of 3D steel moment frames under earthquake excitations.I:modeling,Journal of Engineering Mechanics 133(3)(2007)462–470.
    [20]D.Laxalde,F.Thouverez,J.J.Sinou,Dynamics of a linear oscillator connected to a small strongly non-linear hysteretic absorber,International Journal of Nonlinear Mechanic 41(8)(2006)969–978.
    [21]ólafsson,Símon,Remseth S,Sigbj?rnsson R.Stochastic models for simulation of strong ground motion in Iceland[J].Earthquake Engineering&Structural Dynamics,2001,30(9):1305-1331.
    [22]Aguirre G,Janssens T,Brussel H V,et al.Asymmetric-hysteresis compensation in piezoelectric actuators[J].Mechanical Systems&Signal Processing,2012,30(7):218-231.
    [23]Kwok N M,Ha Q P,Nguyen M T,et al.Bouc–Wen model parameter identification for a MR fluid damper using computationally efficient GA[J].Isa Transactions,2007,46(2):167.
    [24]N.M.Kwok,Q.P.Ha,T.H.Nguyen,J.Li and B.Samali.A novel hysteretic model for magnetorheological fluid dampers and parameter identification using particle swarm optimization.Sensors and Actuators A:Physical,2006,132(2):441-451
    [25]Junho Song and Armen Der Kiureghian,Generalized Bouc-Wen model for highly asymmetric hysteresis.Journal of Engineering Mechanics-ASCE,2006,132(6):610–618
    [26]Wei Zhu and Dai-hua Wang.Non-symmetrical Bouc–Wen model for piezoelectric ceramic actuators.Sensors and Actuators A:Physical.2012,181:51-60
    [27]Bouc R.,Forced vibration of mechanical systems with hysteresis.Proc.of 4th Conf.on Nonlinear Oscillations,1967,Prague,Chechoslovakia,
    [28]Wen Y.K.,Method for random vibration of hysteresis systems,Eng.Mech.,,1976,102(2),249–263
    [29]Qingsong Xu,Identification and Compensation of Piezoelectric Hysteresis Without Modeling Hysteresis Inverse.IEEE Transactions on Industrial Electronics,2013,60(9):3927–3937
    [30]Shunli Xiao and Yangmin Li,Dynamic compensation and H-inf control for piezoelectric actuators based on the inverse Bouc–Wen model.Robotics and Computer-Integrated Manufacturing,2014,30:47–54
    [31]Low T.S.and Guo W.,Modeling of a three-layer piezoelectric bimorph beam with hysteresis,J.Microelectromech.Syst.,1995,4(4):230–237
    [32]M.Jouaneh and H.Tian,Accuracy enhancement of a piezoelectric actuators with hysteresis,ASME Japan/USA Symposium on Flexible Automation,1992:631–637.
    [33]Bester G,Wu X,Vanderbilt D,et al.Importance of Second-Order Piezoelectric Effects in Zinc-Blende Semiconductors[J].Physical Review Letters,2006,96(96).
    [34]S.Bashash and N.Jalili,A polynomial-based linear mapping strategy for feedforward compensation of hysteresis in piezoelectric actuators,J.Dyn.Syst.,Meas.Control,2008,130(3):1–10
    [35]Ping,Ge,and M.Jouaneh.Modeling hysteresis in piezoceramic actuators.Precision Engineering,1995,17(3):211-221.
    [36]Masayoshi Omura,H.Adachi and Y.Ishibashi.Simulations of Ferroelectric Characteristics Using a One-Dimensional Lattice Model.Japanese Journal of Applied Physics,1991,30:2384-2387.
    [37]Chen W,Lynch C S.A Model for Simulating Polarization Switching and AF-F Phase Changes in Ferroelectric Ceramics.Journal of Intelligent Material Systems&Structures,1998,9:427-431.
    [38]Chen X and Li Y.A modified PSO structure resulting in high exploration ability with convergence guaranteed.IEEE Transactions on Cybernetics,2007,37(5):1271–89
    [39]Ha JL,Kung YS,Fung RF,,Hsien SC A comparison of fitness functions for the identification of a piezoelectric hysteretic actuator based on the real-coded genetic algorithm.Sens.Actuator A-Phys.,2006 132(2):643–650.