A Novel Mathematical Piezoelectric Hysteresis Model Based on Polynomial

In this paper, a novel mathematical piezoelectric hysteresis model based on polynomial is proposed. This model uses quadratic polynomial and linear equation to describe the relationship between input voltage and output displacement precisely. To describe the hysteresis characteristics, experiments are performed with three kinds of input triangular wave signals. The simulation results are compared with the experiment data to demonstrate the validity of this proposed model. The results show that the mathematical model can completely match the hysteresis of the piezoelectric actuator at lower errors.

[1]  Q. Yang,et al.  A Monolithic Compliant Piezoelectric-Driven Microgripper: Design, Modeling, and Testing , 2013, IEEE/ASME Transactions on Mechatronics.

[2]  S. Li-ning,et al.  Tracking control of piezoelectric actuator based on a new mathematical model , 2004 .

[3]  Yangmin Li,et al.  Dynamic compensation and H ∞ control for piezoelectric actuators based on the inverse Bouc-Wen model , 2014 .

[4]  Yanling Tian,et al.  Investigation of a 3-DOF micro-positioning table for surface grinding , 2006 .

[5]  Wei Zhu,et al.  Non-symmetrical Bouc–Wen model for piezoelectric ceramic actuators , 2012 .

[6]  U-Xuan Tan,et al.  Modeling Piezoelectric Actuator Hysteresis with Singularity Free Prandtl-Ishlinskii Model , 2006, 2006 IEEE International Conference on Robotics and Biomimetics.

[7]  K. Leang,et al.  Design and Control of a Three-Axis Serial-Kinematic High-Bandwidth Nanopositioner , 2012, IEEE/ASME Transactions on Mechatronics.

[8]  Yanling Tian,et al.  A flexure-based mechanism and control methodology for ultra-precision turning operation , 2009 .

[9]  M Grossard,et al.  Modeling and Robust Control Strategy for a Control-Optimized Piezoelectric Microgripper , 2011, IEEE/ASME Transactions on Mechatronics.

[10]  Y. Stepanenko,et al.  Intelligent control of piezoelectric actuators , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[11]  U-Xuan Tan,et al.  Tracking Control of Hysteretic Piezoelectric Actuator using Adaptive Rate-Dependent Controller. , 2009, Sensors and actuators. A, Physical.

[12]  Musa Jouaneh,et al.  Generalized preisach model for hysteresis nonlinearity of piezoceramic actuators , 1997 .

[13]  Ilya V. Kolmanovsky,et al.  Predictive energy management of a power-split hybrid electric vehicle , 2009, 2009 American Control Conference.

[14]  Chun-Yi Su,et al.  Robust adaptive control of a class of nonlinear systems with unknown backlash-like hysteresis , 2000, IEEE Trans. Autom. Control..

[15]  Liao Xiaozhong,et al.  Neural networks Preisach model and inverse compensation for hysteresis of piezoceramic actuator , 2010, 2010 8th World Congress on Intelligent Control and Automation.

[16]  Chun-Yi Su,et al.  A modified generalized Prandtl-Ishlinskii model and its inverse for hysteresis compensation , 2013, 2013 American Control Conference.

[17]  D. Jiles,et al.  Theory of ferromagnetic hysteresis (invited) , 1984 .

[18]  C. Su,et al.  An Analytical Generalized Prandtl–Ishlinskii Model Inversion for Hysteresis Compensation in Micropositioning Control , 2011, IEEE/ASME Transactions on Mechatronics.

[19]  J.A. De Abreu-Garcia,et al.  Tracking control of a piezoceramic actuator with hysteresis compensation using inverse Preisach model , 2005, IEEE/ASME Transactions on Mechatronics.