Abstract
This paper presents a neural-repetitive approach to the precision control of piezo-actuated systems. Two neural controllers are used in the proposed control scheme. The first controller is a standard neural adaptive controller using a radial basis function network as a baseline for motion control. To eliminate non-zero periodic errors originating in the deterministic reference signals, an additional neural controller containing a discrete-time repetitive controller was added by introducing solutions of a transformed feedforward control problem constrained by a deterministic internal model. The proposed neural-repetitive controllers were applied to a piezo-actuated system to track periodic and complex motion profiles. The experimental results demonstrate that the proposed neural-repetitive controller improves control performance, showing good robustness pertaining to variations in plant parameters.
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Croft D., Shed G., Devasia S.: Creep hysteresis, and vibration compensation for piezoactuators: atomic force microscopy application. Trans. ASME J. Dyn. Syst., Meas. Control 123(1), 35–43 (2001)
Ge P., Jouaneh M.: Tracking control of a piezoceramic actuator. IEEE Trans. Control Syst. Technol. 4(3), 209–216 (1996)
Song G., Zhao J., Zhou X., Abreu-GarcÃ-a J.A.D.: Tracking control of a piezoceramic actuator with hysteresis compensation using inverse preisach model. IEEE/ASME Trans. Mechatron. 10(2), 198–209 (2005)
Shan, Y.; Leang, K.K.: Repetitive control with Prandtl–Ishlinskii hysteresis inverse for piezo-based nanopositioning. In: Proceedings of the American Control Conference, pp. 301–306 (2009)
Ku S.S., Pinsopon U., Cetinkunt S., Nakajima S.: Design, fabrication, and real-time neural network control of a three-degrees-of-freedom nanopositioner. IEEE/ASME Trans. Mechatron. 5, 273–280 (2000)
Lin F.J., Shieh H.J., Huang P.K.: Adaptive wavelet neural network control with hysteresis estimation for piezo-positioning mechanism. IEEE Trans. Neural Netw. 17(2), 432–444 (2006)
Jha R., Rower J.: Experimental investigation of active vibration control using neural networks and piezoelectric actuators. Smart Mater. Struct. 11(1), 115–121 (2002)
Kim B., Li J., Tsao T.: Two-parameter robust repetitive control with application to a novel dual-stage actuator for noncircular machining. IEEE/ASME Trans. Mechatron. 9(4), 644–652 (2004)
Francis B.A., Wonham W.M.: The internal model principle of control theory. Automatica 12(5), 457–465 (1976)
Lin C.Y., Chen P.Y.: Hysteresis compensation and high performance tracking control of piezoelectric actuators. J. Syst. Control Eng. 226(8), 1050–1059 (2012)
Lin, C.Y.: Neural network adaptive control and repetitive control for high performance precision motion control. In: Proceedings of the SICE Annual Conference, Taipei, pp. 2843–2844 (2010)
White, D.A.; Sofge, D.A.: Handbook of Intelligent Control: Neural, Fuzzy, and Adaptive Approaches. Van Nostrand Reinhold, New York (1992)
Haykin S.: Neural Networks: A Comprehensive Foundation. Prentice-Hall, USA (1999)
Lin, C.Y.; Tsao, T.C.: Adaptive control with internal model for high precision motion control. In: Proceedings of the ASME Conference, Seattle, pp. 1021–1029 (2007)
Tomizuka M.: Zero phase error tracking algorithm for digital control. Trans. ASME J. Dyn. Syst. Meas. Control. 109(1), 65–68 (1987)
Tsao T.C.: Optimal feed-forward digital tracking controller design. Trans. ASME J. Dyn. Syst. Meas. Control. 116(4), 583–592 (1994)
Skogestad S., Postlethwaite I.: Multivariable Feedback Control: Analysis and Design. Wiley, New York (1996)
Levy E.C.: Complex curve fitting. IRE Trans. Autom. Control. 4, 37–44 (1959)
Lin, C.Y.; Chen, P.Y.: Precision motion control of a nano stage using repetitive control and double-feedforward compensation. In: Proceedings of the SICE Annual Conference, Taipei, pp. 22–29 (2010)
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Lin, CY., Li, CY. A Neural-Repetitive Control Approach for High-Performance Motion Control of Piezo-Actuated Systems. Arab J Sci Eng 39, 4131–4140 (2014). https://doi.org/10.1007/s13369-014-1008-8
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DOI: https://doi.org/10.1007/s13369-014-1008-8