Duhem models for hysteresis in sliding and presliding friction

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 8132-8137

  Oh, JinHyoung ^a   Padthe, Ashwani K ^a   Bernstein, Dennis S ^a   Rizos, Demosthenis D ^b   Fassois, Spilios D ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b UNIVERSITY OF PATRAS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

FRICTION; LINEAR SYSTEMS; MATHEMATICAL MODELS;

DUHEM MODELS; MAXWELL SLIP FRICTION MODELS;

HYSTERESIS;

EID: 33847195420     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1583478     Document Type: Conference Paper

References (27)

1. B. Armstrong-Hélouvry, Control of Machines with Friction. Boston, MA: Kluwer, 1991.
2. B. Armstrong-Hélouvry, P. Dupont, and C. C. de Wit, "A survey of model, analysis tools and compensation methods for the control of machines with friction," Automatica, vol. 30, no. 7, pp. 1083-1138, 1994.
3. B. Feeny, A. Guran, N. Hinrichs, and K. Popp, "Historical review on dry friction and stick-slip phenomena," Applied Mechanics Reviews, vol. 51, no. 5, pp. 321-341, 1998.
4. P. Dahl, "Solid friction damping of mechanical vibrations," AIAA J., vol. 14, no. 2, pp. 1675-82, 1976.
5. D. D. Rizos and S. D. Fassois, "Presliding friction identification based upon the Maxwell slip model structure," Chaos, vol. 14, no. 2, pp. 431-445, 2004.
6. V. Lampaert, J. Swevers, and F. Al-Bender, "Modification of the Leuven integrated friction model structure," IEEE Trans. Autom. Contr., vol. 47, no. 4, pp. 683-687, 2002.
7. C. Canudas de Wit, H. Olsson, K. J. Åstrorn, and P. Lischinsky, "A new model for control of systems with friction," TAC, vol. 40, no. 3, pp. 419-425, 1995.
8. J. Swevers, F. Al-Bender, C. G. Ganseman, and T. Prajogo, "An integrated friction model structure with improved presliding behavior for accurate friction compensation," IEEE Trans. Autom. Contr., vol. 45, no. 4, pp. 675-686, 2000.
9. F. Al-Bender, V. Lampaert, and J. Swevers, "Modeling of dry sliding friction dynamics: From heuristic models to physically motivated models and back," Chaos, vol. 14, no. 2, pp. 446-445, 2004.
10. F. Al-Bender, V. Lampaert, S. D. Fassois, D. D. Rizos, K. Worden, D. Engster, A. Hornstein, and U. Parlitz, "Measurement and identification of pre-sliding friction dynamics," in Nonlinear Dynamics of Production Systems. Weinheim: Wiley, 2004, pp. 349-367.
11. J. Amin, B. Friedland, and A. Harnoy, "Implementation of a friction estimation and compensation technique," IEEE Contr. Sys. Mag., vol. 17, no. 4, pp. 71-76, 1997.
12. S. C. Southward, C. J. Radcliffe, and C. R. MacCluer, "Robust nonlinear stick-slip friction compensation," J. Dynamic Systems, Measurement and Control, vol. 113, no. 4, pp. 639-645, 1991.
13. S.-W. Lee and J.-H. Kim, "Robust adaptive stick-slip friction compensation," IEEE Trans. Industrial Electronics, vol. 42, no. 5, pp. 474-479, 1995.
14. R.-H. Wu and P.-C. Tung, "Studies of stick-slip friction, presliding displacement, and hunting," J. Dynamic Systems, Measurement and Control, vol. 124, no. 1, pp. 111-117, 2002.
15. M. Marques, Differential Inclusions in Nonsmooth Mechanical Problems: Shocks and Dry Friction. Boston, MA: Birkhauser, 1993.
16. J. Oh and D. S. Bernstein, "Step convergence analysis of nonlinear feedback hysteresis models," in Proc. Amer. Contr. Conf, Portland, OR, 2005, pp. 697-702.
17. D. Angeli and E. D. Sontag, "Multi-stability in monotone input/output systems," Sys. Contr. Lett., vol. 51, pp. 185-202, 2004.
18. D. Angeli, J. E. Ferrell, and E. D. Sontag, "Detection of multistability, bifurcations, and hysteresis in a large class of biological positive feedback systems," Proc. Nat. Academy Sci., vol. 101, no. 7, pp. 1822-1827, 2004.
19. J. Oh and D. S. Bernstein, "Semilinear Duhem model for rate-independent and rate-dependent hysteresis," IEEE Trans. Autom. Contr., vol. 50, no. 5, pp. 631-645, 2005.
20. P. Dupont, V. Hayward, B. Armstrong, and F. Altpeter, "Single state elasto-plastic friction models," IEEE Trans. Autom. Contr., vol. 47, no. 5, pp. 787-792, 2002.
21. I. D. Mayergoyz, "Dynamic vector models of hysteresis," J. Appl. Phys., vol. 69, pp. 4829-4834, 1991.
22. X. Tan and J. S. Baras, "Modeling and control of hysteresis in magnetostrictive actuators," Automatica, vol. 40, pp. 1469-1480, 2004.
23. J. W. Macki, P. Nistri, and P. Zecca, "Mathematical models for hysteresis," SIAM Review, vol. 35, no. 1, pp. 94-123, 1993.
24. I. D. Mayergoyz, Mathematical Models of Hysteresis. New York: Springer-Verlag, 1991.
25. A. Visintin, Differential Models of Hysteresis. New York: Springer-Verlag, 1994.
26. R. B. Gorbet, K. A. Morris, and D. W. L. Wang, "Control of hysteretic systems: A state space approach," in Learning, Control and Hybrid Systems. New York: Springer, 1998, pp. 432-451.
27. A. D. Nashif, D. I. G. Jones, and J. P. Henderson, Vibration Damping. New York: Wiley, 1985.