Modeling of Rate-Dependent Hysteresis in Piezoelectric Actuators Using a Hammerstein-Like Structure with a Modified Bouc-Wen Model

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• 关键词：Piezoelectric actuator ; Rate ; dependent hysteresis ; Bouc ; Wen model ; Hammerstein ; like structure
• 刊名：Lecture Notes in Computer Science
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：9834
• 期：1
• 页码：672-684
• 全文大小：2,022 KB
• 参考文献：1.Yong, Y.K., Moheimani, S.O.R., Kenton, B.J., Leang, K.K.: Invited review article: high-speed flexure-guided nanopositioning: mechanical design and control issues. Rev. Sci. Instrum. 83(12), 121101 (2012)CrossRef
  2.Xu, Q.S., Li, Y.M.: Dahl model-based hysteresis compensation and precise positioning control of an XY parallel micromanipulator with piezoelectric actuation. ASME J. Dyn. Syst. Meas. Control 132(4), 041011 (2010)CrossRef
  3.Tian, Y.L., Zhang, D.W., Shirinzadeh, B.: Dynamic modelling of a flexure-based mechanism for ultra-precision grinding operation. Precis. Eng. 35(4), 554–565 (2011)CrossRef
  4.Gu, G.-Y., Zhu, L.-M., Su, C.-Y., Ding, H., Fatikow, S.: Modeling and control of piezo-actuated nanopositioning stages: a survey. IEEE Trans. Autom. Sci. Eng. 13(1), 313–332 (2016)CrossRef
  5.Fleming, A.J., Leang, K.K.: Charge drives for scanning probe microscope positioning stages. Ultramicroscopy 108(12), 1551–1557 (2008)CrossRef
  6.Li, C.-X., Gu, G.-Y., Yang, M.-J., Zhu, L.-M.: High-speed tracking of a nanopositioning stage using modified repetitive control. IEEE Trans. Autom. Sci. Eng. PP(99), 1–11 (2015)
  7.Gu, G.-Y., Zhu, L.-M., Su, C.-Y.: Modeling and compensation of asymmetric hysteresis nonlinearity for piezoceramic actuators with a modified Prandtl-Ishlinskii model. IEEE Trans. Ind. Electron. 61(3), 1583–1595 (2014)CrossRef
  8.Li, Z., Su, C.-Y., Chai, T.: Compensation of hysteresis nonlinearity in magnetostrictive actuators with inverse multiplicative structure for preisach model. IEEE Trans. Autom. Sci. Eng. 11(2), 613–619 (2014)CrossRef
  9.Rakotondrabe, M.: Bouc-Wen modeling and inverse multiplicative structure to compensate hysteresis nonlinearity in piezoelectric actuators. IEEE Trans. Autom. Sci. Eng. 8(2), 428–431 (2011)CrossRef
  10.Zhu, W., Wang, D.-H.: Non-symmetrical Bouc-Wen model for piezoelectric ceramic actuators. Sens. Actuat. A Phys. 181, 51–60 (2012)CrossRef
  11.Zhu, W., Rui, X.-T.: Hysteresis modeling and displacement control of piezoelectric actuators with the frequency-dependent behavior using a generalized bouc-wen model. Precis. Eng. 43, 299–307 (2016)CrossRef
  12.Wang, G., Chen, G., Bai, F.: Modeling and identification of asymmetric Bouc-Wen hysteresis for piezoelectric actuator via a novel differential evolution algorithm. Sens. Actuat. A Phys. 235, 105–118 (2015)CrossRef
  13.Gomis-Bellmunt, O., Ikhouane, F., Montesinos-Miracle, D.: Control of a piezoelectric actuator considering hysteresis. J. Sound Vibr. 326(3), 383–399 (2009)CrossRef
  14.Wang, Z., Zhang, Z., Mao, J., Zhou, K.: A hammerstein-based model for rate-dependent hysteresis in piezoelectric actuator. In: 2012 24th Chinese Control and Decision Conference (CCDC), pp. 1391–1396. IEEE (2012)
  15.Gu, G.-Y., Li, C.-X., Zhu, L.-M., Su, C.-Y.: Modeling and identification of piezoelectric-actuated stages cascading hysteresis nonlinearity with linear dynamics. IEEE/ASME Trans. Mechatron. 21(3), 1792–1797 (2016)CrossRef
  16.Bouc, R.: Forced vibration of mechanical systems with hysteresis. In: Proceedings of the Fourth Conference on Non-linear Oscillation, Prague, Czechoslovakia (1967)
  17.Wen, Y.-K.: Method for random vibration of hysteretic systems. J. Eng. Mech. Div. 102(2), 249–263 (1976)
  18.Li, C.-X., Gu, G.-Y., Yang, M.-J., Zhu, L.-M.: Design, analysis and testing of a parallel-kinematic high-bandwidth XY nanopositioning stage. Rev. Sci. Instrum. 84(12), 125111 (2013)CrossRef
  
• 作者单位：Chun-Xia Li (17)
  Lin-Lin Li (17)
  Guo-Ying Gu (17)
  Li-Min Zhu (17)
  
  17. State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China
  
• 丛书名：Intelligent Robotics and Applications
• ISBN：978-3-319-43506-0
• 刊物类别：Computer Science
• 刊物主题：Artificial Intelligence and Robotics
  Computer Communication Networks
  Software Engineering
  Data Encryption
  Database Management
  Computation by Abstract Devices
  Algorithm Analysis and Problem Complexity
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1611-3349
• 卷排序：9834

文摘

This paper presents a modified Bouc-Wen (MBW) model based Hammerstein-like structure to describe the hysteresis in piezoelectric actuators (PEAs) with asymmetric and rate-dependent characteristics. Firstly, a MBW model with a third-order input function is proposed to characterize the hysteresis with asymmetric feature. Then, to describe the rate-dependent behavior of the hysteresis in PEAs, the MBW model is cascaded with a linear dynamics model as a Hammerstein-like model structure. To derive the parameters of this model structure, three identification steps are performed with different input signals: (i) the delay time of the PEA-actuated nanopositioning stage is tested with a step signal input; (ii) the linear dynamics model is identified with a low-amplitude white noise input; (iii) with the identified delay time and linear dynamics model, nonlinear least squares optimization method is adopted to derive the parameters of the MBW model using a multiple-amplitude triangular signal input with low frequency. Finally, to evaluate the Hammerstein-like model structure, experiments are carried out on a PEA-actuated nanopositioning stage. The experimental results verify that the predicted responses of the MBW model based Hammerstein-like structure well match the system responses.