Abstract
Friction phenomenon can be described as two parts, which are the pre-sliding and sliding regions. In the motion of the sliding region, the friction force depends on the velocity of the system and consists of the Coulomb, stick-slip, Streibeck effect and viscous frictions. The friction force in the pre-sliding region, which occurs before the breakaway, depends on the position of the system. In the case of the motion of the friction in the sliding region, the LuGre model describes well the friction phenomenon and is used widely to identify the friction model, but the motion of the friction in the pre-sliding such as hysteresis phenomenon cannot be expressed well. In this paper, a modified friction model for the motion of the friction in the pre-sliding region is suggested which can consider the hysteresis phenomenon as the Preisach model. In order to show the effectiveness of the proposed friction model, the sliding mode controller (SMC) with hysteresis friction compensator is synthesized for a ball-screw servo system.
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References
Armstrong, B., Dupont, P. and Canudas, C., 1994, “A Survey of Models, Analysis Tools and Compensation Methods for the Control of Machines with Friction,”Automatica, Vol. 30, No. 7, pp. 1083–1138.
Awabdy, B. A., Shih, W. C. and Auslander, M., 1998, “Nanometer Positioning of Linear Motion Stage Under Static Loads,”IEEE/ ASME Transaction on Mechatronics, Vol. 3, No. 2, pp. 113–119.
Canudas, C., Olsson, H., Astrom, K. and Lischinsky, P., 1995, “A New Model for Control of Systems with Friction,”IEEE Transaction Automatic Control, Vol. 40, No. 3, pp. 419–425.
Cincotti, S. and Daneri, I., 1999, “A Non-linear Circuit Model of Hysteresis,”IEEE Transactions on Magnetics, Vol. 35, No. 3, pp. 1247- 1250.
Dahl, P., 1968, “A Solid Friction Model,” The Aerospace Corporation, El Segundo, CA, Tech. Rep. TOR-0158, pp. 3107–3118.
Dupont, P., Hayward, V., Armstrong, B. and Altpeter, F., 2002, “Single State Elastoplastic Friction Models,”IEEE Transaction on Automatic Control, Vol. 47, No. 5, pp 787–792.
Erbatur, K., Kaynak, M. and Sabanovic, A., 1999, “A Study of Robustness Property of Sliding Mode Controllers: A Novel Design and Experimental Investigation,”IEEE Transactions of Industrial Electronics, Vol. 46, No. 5, pp. 1012- 1018.
Ge, P. and Jouaneh, M., 1995, “Modeling Hysteresis in Piezoceramic Actuators,”Precision Engineering, Vol. 17, No. 3, pp. 211–221.
Lampaert, V. and Swevers, J., 2001, “On-line Identification of Hysteresis Functions with Nonlocal Memory,”IEEE IASME International Conference on Advanced Intelligent Mechatronics Proceedings, Como, Italy, pp. 833–837. Mayergoyz, I. D., 1991,Mathematical Models of Hysteresis, Springerverlag.
Sjostrom, M., Djukic, D. and Duoit, B., 2000, “Parameterized Hystersis Model for High-Temperature Super conductors,”IEEE Transactions on Applied Superconductivity, Vol. 10, No. 2, pp. 1585–1592.
Yu, Y., Xiao, Z., Lin, E. B. and Naganathan, N., 2000, “Analytic and Experimental Studies of a Wavelet Identification of Preisach Model of Hysteresis,”Journal of Magnetism and Magnetic Materials, Vol. 208, pp. 255–263.
Yu, Y., Xiao, Z., Naganathan, N. G. and Dukkipati, R. V., 2002, “Dynamic Preisach modeling of Hysteresis for the Piezoceramic Actuator System,”Mechanism and Machine Theory, Vol.37, pp. 75–89.
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Choi, J.J., Kim, J.S. & Han, S.I. Pre-sliding friction control using the sliding mode controller with hysteresis friction compensator. KSME International Journal 18, 1755–1762 (2004). https://doi.org/10.1007/BF02984324
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DOI: https://doi.org/10.1007/BF02984324