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http://dx.doi.org/10.5370/JEET.2008.3.3.401

A Method of Hysteresis Modeling and Traction Control for a Piezoelectric Actuator  

Sung, Baek-Ju (System Engineering Research Division, Korea Institutive of Machinery & Material)
Lee, Eun-Woong (Dept. of Electrical Engineering, Chungnam National University)
Lee, Jae-Gyu (Production/R&D General Division, Tata Daewoo Commercial Vehicle Company Limited)
Publication Information
Journal of Electrical Engineering and Technology / v.3, no.3, 2008 , pp. 401-407 More about this Journal
Abstract
The dynamic model and displacement control of piezoelectric actuators, which are commercially available materials for managing extremely small displacements in the range of sub-nanometers, are presented. Piezoceramics have electromechanical characteristics that transduce energy between the electrical and mechanical domains. However, they have hysteresis between the input voltage and output displacement, and this behavior is very demanding and complicated. In this paper, we propose a method of designing the control algorithm, and present the dynamic modeling equations that represent the hysteretic behavior between input voltage and output displacement. For this process, the piezoelectric actuator is treated as a second-order linear dynamic system and system constants are determined by the system identification method. Also, a classical PID controller is designed and used to regulate the output displacement of the actuator. To evaluate the performance of the proposed method, numerical simulation results are presented.
Keywords
Hysteresis modeling; Piezoelectric actuator; PID control; System identification;
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1 Croft, D and Devasia, S., Hysteresis and vibration compensation for piezoactuators: Precision Eng., Vol.17, pp.211-221, 1995   DOI   ScienceOn
2 B. J. Lazan, Damping of Materials and Members in Structural Mechanics: Pergamon Press, London, 1968
3 Goldfarb, M., and Celanovic, N., 1997, Modeling Piezoelectric Stack Actuators for Control of Micromanipulation: IEEE Control Syst. Mag., 17, pp.69-79   DOI   ScienceOn
4 Georgiou, H. M. S. and Ben Mrad, R., Electromechanical Modeling of Piezoceramic Actuators for Dynamic Loading Applications: Journal of Dynamic Systems, Measurement, and Control, September 2006. Vol.128, Issue 3, pp.558-567   DOI   ScienceOn
5 Norman S. Nise., Control Systems Engineering: John Wiley & Sons, Fourth Ch. 6, 2004
6 The Mathworks, Optimization Toolbox for Matlab: Tutorial for Users, 2004
7 T. D. Leigh and D. C. Zimmerman, An Implicit Method for the Nonlinear Modeling and Simulation of Piezoceramic Actuators Displaying Hysteresis: ASME Smart Structure and Materials. AD-Vol.24, pp.57-63, 1991
8 Hagood, N. W., Chung, W. H., and von Flotow, A., Modeling of Piezoelectric Actuator Dynamics for Active Structural Control: Journal of Intelligent Materials. Systems and Structures. Vol.1, pp.327-354, July 1990   DOI
9 Ge, P., and Jouaneh, M., 1995, Modeling Hysteresis in Piezoceramic Actuators: Precision Eng., Vol.17. pp.211-221, 1995   DOI   ScienceOn
10 Ben Mrad, R., and Hu, H., 2002, A Model for Voltageto- Displacement Dynamics in Piezoelectric Actuators Subject to Dynamic-Voltage Excitation: IEEE/ASME Trans. Mechatron., 7, pp.479-489
11 IEEE, 1987, An American National Standard: IEEE Standard on Piezoelectricity, Standards Committee of IEEE Ultrasonics, Ferroelectrics, and Frequency Control Society, The Institution of Electrical and Electronics Engineers: ANSI/IEEE Std. 176-1987, New York
12 Lennart Ljung, System Identification Toolbox: The Mathwoks, User's Guide, Version 6, 2005
13 Adriaens, H. J. M. T. A., de Koning, W. L., and Banning, R., 2000, Modeling Piezoelectric Actuators: IEEE/ASME Trans. Mechatron, 5, pp.331-341