Piezoelectric-driven stick slip actuators have been drawn more and more attention in the nano- positioning application due to the high accuracy and theoretical unlimited displacement. However, the hysteresis of piezoelectric actuator (PEA) and the nonlinear friction force between the end- effector and the stage make control of piezoelectric-driven stick slip actuator challenge. This paper presents the development of an autoregressive exogenous (ARX)-based proportional-integral-derive (PID)-sliding mode control (SMC) for the velocity tracking control of the piezoelectric-driven stick slip actuator. Stability is guaranteed by rigorously choosing the appropriate PID parameters and the zero steady state error is achieved. To verify the effectiveness of the proposed method, experiments were carried out on a commercially-available piezoelectric-driven stick slip actuator. The tracking errors were compared with the traditional PID controller, illustrating that in spite of existing of modeling error, the ARX-based PID-SMC is able to better improve the velocity tracking performance of piezoelectric-driven stick slip actuator, compared with the traditional PID controller.
Shiratori, H., Takizawa, M., Irie, Y., Hirata, S. and Aoyama, H. (2012) Development of the Miniature Hemispherical Tilt Stage Driven by Stick-Slip Motion Using Piezoelectric Actuators. Mechatronics-REM, Paris, 21-23 November.
Zhang, Q.S., Chen, X.B. Yang, Q. and Zhang, W.J. (2012) Development and Characterization of a Novel Piezoelectric-Driven Stick-Slip Actuator with Anisotropic-Friction Surfaces. International Journal of Advanced Manufacture Technology, 61, 1029-1034. http://dx.doi.org/10.1007/s00170-011-3771-y
Rakotondrabe, M., Haddab, Y. and Lutz, P. (2008) Voltage/Frequency Proportional Control of Stick-Slip Micropositioning Systems. IEEE Transactions on Control System Technology, 16, 1316-1322.
Breguet, J.M. and Clavel, R. (1998) Stick and Slip Actuators: Design, Control, Performances and Applications. International Symposium on Micromechatronics and Human Sciences, Nagoya, 25-28 November 1998, 89-95.
Liawa, H.C., Shirinzadeh, B. and Smith, J. (2007) Enhanced Sliding Mode Motion Tracking Control of Piezoelectric Actuators. Sensors and Actuators, A138, 194-202. http://dx.doi.org/10.1016/j.sna.2007.04.062
Wang, S., Habibi, S., Burton, R. and Sampson, E. (2006) Sliding Mode Control of an Electrohydraulic Actuator System with Discontinuous Nonlinear Friction. Proceedings of the Institution of Mechanical Engineers, 222, Part I:J, Systems and Control Engineering.
Peng, J.Y. and Chen, X.B. (2014) Integrated PID-Based Sliding Mode State Estimation and Control for Piezoelectric Actuators. IEEE/ASME Transactions on Mechatronics, 19, 88-99. http://dx.doi.org/10.1109/TMECH.2012.2222428
Cao, Y. and Chen, X.B. (2014) Disturbance Observer Based Sliding Mode Control for a Three-DOF Nano-Positioning Stage. IEEE/ASME Transactions on Mechatronics, 19, 924-931. http://dx.doi.org/10.1109/TMECH.2013.2262802
Cao, Y. and Chen, X.B. (2012) A Novel Discrete ARMA-Based Model for Piezoelectric Actuator Hysteresis. IEEE/ ASME Transactions on Mechatronics, 17, 737-744. http://dx.doi.org/10.1109/TMECH.2011.2128339
Chen, X.B., Zhang, Q.S., Kang, D. and Zhang, W.J. (2008) On the Dynamics of Piezoelectric Positioning Systems. Review of Scientific Instrument, 79, Article ID: 116101. http://dx.doi.org/10.1063/1.2982238