Integral Tracking Control for a Piezoelectric Actuator System
We propose an integral tracking control method for a piezoelectric actuator system. The proposed method achieves the output tracking without requiring any hysteresis observer or schemes to compensate the hysteresis effect. With the proposed control law, the system is converted into the standard singularly perturbed model. Using Tikhonov-s theorem, we guarantee that the tracking error can be reduced to arbitrarily small bound. A numerical example is given to illustrate the effectiveness of our proposed method.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1078845Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1605
 K.K. Tan, A.S. Putra, "Piezo stack actuation control system for sperm injection," Proc. SPIE - The International Society for Optical Engineering, vol. 6048, 2005, pp. 60480O.1-60480O.10.
 J.K. Cuttino, A.C. Miller, D.E. Schinstock, "Performance Optimization of a Fast Tool Servo for Single-Point Diamond Turning Machines," IEEE/ASME, Trans Mechatronics, vol. 4, 1999, pp. 169-179
 G. Caruso, S. Galeani, L. Menini, "Active vibration control of an elastic plate using multiple piezoelectric sensors and actuators," Simulation Modelling Practice and Theory, vol. 11, 2003, pp. 403-419
 T.S. Low, W. Guo, "Modeling of a three-layer piezoelectric bimorph beam with hysteresis," Microelectromechanical Systems, Journal of, vol. 4, 1995, pp. 230-237
 M. Goldfarb, N. Celanovic, "Modeling piezoelectric stack actuators for control of micromanipulation," Control Systems, IEEE, vol. 17, 1997, pp. 69-79
 H.J.M.T.S. Adriaens, W.L. De Koning, R.a Banning, "Modeling piezoelectric actuators," Mechatronics, IEEE/ASME Transactions on, vol. 5, 2000, pp. 331-341
 Y.I. Somov, "Modelling physical hysteresis and control of a fine piezodrive," Physics and Control, 2003. Proceedings. 2003 International Conference, vol. 4, 2003, pp. 1189-1194
 Z. Tong, Y. Tan, X. Zeng, "Modeling hysteresis using hybrid method of continuous transformation and neural networks," Sensors and Actuators A: Physical, vol. 119, 2005, pp. 254-262
 I. Mayergoyz, "Mathematical models of hysteresis ," Magnetics, IEEE Transactions on, vol. 22, 1986, pp. 603-608
 D. Hughes, J. Wen, "Preisach modelling of piezoceramic and shape memory alloy hysteresis," Smart Materials and Structures, vol. 6, 1997, pp. 287-300
 M. Brokate, J. Sprekels, Hysteresis and phase transitions, New York: Springer, 1996.
 A. Visintin, Differential models of hysteresis, Berlin: Springer, 1994.
 C.-Y. Su, Q. Wang, X. Chen, S. Rakheja, "Adaptive variable structure control of a class of nonlinear systems with unknown Prandtl-Ishlinskii hysteresis," Automatic Control, IEEE Transactions on, vol. 50, 2005, pp. 2069-2074
 C.-J. Lin, S.-R. Yang, "Precise positioning of piezo-actuated stages using hysteresis-observer based control," Mechatronics, vol. 16, 2006, pp. 417- 426
 X. Chen, C.-Y. Su, T. Fukuda, "Adaptive Control for the Systems Preceded by Hysteresis," Automatic Control, IEEE Transactions on, vol. 53, 2008, pp. 1019-1025
 X.Y. Zhang, Y. Lin, "Adaptive tracking control for a class of purefeedback non-linear systems including actuator hysteresis and dynamic uncertainties," IET Control Theory & Applications, vol. 21, 2011, pp. 1541-1561
 H. Ghafarirad, S.M. Rezaei, A. Abdullah, M. Zareinejad, M. Saadat, "Observer-based sliding mode control with adaptive perturbation estimation for micropositioning actuators," Precision Engineering, vol. 35, 2011, pp. 271-281
 H. K. Khalil, Nonlinear Systems, Upper Saddle River, NJ: Prentice-Hall, 1996.