Duhem Modeling of Friction-Induced Hysteresis

IEEE Control Systems

Volumn 28, Issue 5, 2008, Pages 90-107

  Padthe, Ashwani K ^a   Drincic, Bojana ^b   Oh, Jinhyoung ^a   Fassois, Spilios D ^c   Bernstein, Dennis S ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^c UNIVERSITY OF PATRAS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54749085854     PISSN: 1066033X     EISSN: None     Source Type: Journal    
DOI: 10.1109/MCS.2008.927331     Document Type: Article

References (32)

1. B. Armstrong-Helouvry, Control of Machines with Friction. Boston, MA: Kluwer, 1991.
2. B. Armstrong-Helouvry, P. Dupont, and C. Canudas 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,” Aypl. Mech. Rev., vol. 51, no. 5, pp. 321-341,1998.
4. M.A. Krasnoselskii and A.V. Pokrovskii, Systems with Hysteresis. New York: Springer-Verlag, 1980.
5. J.W. Macki, P. Nistri, and P. Zecca, “Mathematical models for hysteresis,” SIAM Rev., vol. 35, no. 1, pp. 94-123,1993.
6. P. Dahl, “Solid friction damping of mechanical vibrations,” AIAA J., vol. 14, no. 2, pp. 1675-1682,1976.
7. 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.
8. F. Al-Bender, V. Lampaert, and J. Swevers, “The generalized Maxwell-slip model: A novel model for friction simulation and compensation,” IEEE Trans. Autom. Contr., vol. 50, no. 11, pp. 1883-1887,2005.
9. 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.
10. C. Canudas de Wit, H. Olsson, K.J. Astrom, and P. Lischinsky, “A new model for control of systems with friction,” IEEE Trans. Autom. Contr., vol. 40, no. 3, pp. 419-425,1995.
11. 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.
12. 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.
13. 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, G. Radons and R. Neugebauer, Eds. Weinheim: Wiley, 2004, pp. 349–367.
14. G. Ferretti, G. Magnani, and P. Rocco, “Single and multistate integral friction models,” IEEE Trans. Autom. Contr., vol. 49, no. 12, pp. 2292–2297, 2004.
15. 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.
16. S.C. Southward, C.J. Radcliffe, and C.R. MacCluer, “Robust nonlinear stick-slip friction compensation,” J. Dynam. Syst. Meas. Contr., vol. 113, no. 4, pp. 639-645,1991.
17. S.-W. Lee and J.-H. Kim, “Robust adaptive stick-slip friction compensation,” IEEE Trans. Ind. Electron., vol. 42, no. 5, pp. 474-479,1995.
18. R.-H. Wu and P.-C. Tung, “Studies of stick-slip friction, presliding displacement, and hunting,” J. Dynam. Syst., Meas. Contr., vol. 124, no. 1, pp. 111–117, 2002.
19. M. Marques, Differential Inclusions in Nonsmooth Mechanical Problems: Shocks and Dry Friction. Cambridge, MA: Birkhauser, 1993.
20. S.P. Bhat and D.S. Bernstein, “Finite-time stability of continuous autonomous systems,” SIAM J. Contr. Optimiz., vol. 38, pp. 751–766, 2000.
21. S.P. Bhat and D.S. Bernstein, “Continuous finite-time stabilization of the translational and rotational double integrators,” IEEE Trans. Autom. Contr., vol. 43, no. 5, pp. 678-682,1998.
22. J. Oh and D.S. Bernstein, “Step convergence analysis of nonlinear feedback hysteresis models,” in Proc. American Control Conf., Portland, OR, 2005, pp. 697–702.
23. D. Angeli and E.D. Sontag, “Multi-stability in monotone input/output systems,” Sys. Contr. Lett., vol. 51, pp. 185–202, 2004.
24. D. Angeli, J.E. Ferrell, and E.D. Sontag, “Detection of multistability, bifurcations, and hysteresis in a large class of biological positive feedback systems,” in Proc. Nat. Academy Science, 2004, vol. 101, no. 7, pp. 1822–1827.
25. J. Oh and D.S. Bernstein, “Semilinear Duhem model for rateindependent and rate-dependent hysteresis,” IEEE Trans. Autom. Contr., vol. 50, no. 5, pp. 631–645, 2005.
26. A. Visintin, Differential Models of Hysteresis. New York: Springer-Verlag, 1994.
27. P.A. Bliman, “Mathematical study of the Dahl's friction model,” Euro. J. Mech. Solids, vol. 11, no. 6, pp. 835-848,1992.
28. Y.Q. Ni, Z.G. Ying, J.M. Ko, and W.Q. Zhu, “Random response of integrable Duhem hysteretic systems under non-white excitation,” Int. J. Non-Linear Mech., vol. 37, no. 8, pp. 1407–1419, 2002.
29. N. Barabanov and R. Ortega, “Necessary and sufficient conditions for passivity of the LuGre friction model,” IEEE Trans. Autom. Contr., vol. 45, no. 4, pp. 830–832, 2000.
30. J. Swevers, F. Al-Bender, C. Ganseman, and T. Projogo, “An integrated friction model structure with improved presliding behavior for accurate fric-tion compensation,” IEEE Trans. Autom. Contr., vol. 45, no. 4, pp. 675–686, 2000.
31. F. Altpeter, “Friction modeling, identification and compensation,” Ph.D. dissertation, Ecole Polytechnique Federale de Lausanne, 1999 [Online]. Avail-able:http://biblion.epfl.ch/EPFL/theses/ 1999/1988/EPFL_TH1988.pdf.
32. S.L. Lacy, D.S. Bernstein, and S.P. Bhat, “Hysteretic systems and step-convergent semistability,” in Proc. American Control Conf., Chicago, IL, June 2000, pp. 4139–4143.