Adaptive output feedback control of uncertain nonlinear systems with hysteresis nonlinearity

IEEE Transactions on Automatic Control

Volumn 57, Issue 10, 2012, Pages 2627-2633

  Zhou, Jing ^a   Wen, Changyun ^b   Li, Tieshan ^c  

^a SWINBURNE UNIVERSITY OF TECHNOLOGY   (Australia)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^c DALIAN MARITIME UNIVERSITY   (China)

Author keywords

Adaptive control; backstepping; hysteresis; inverse; nonlinear systems

Indexed keywords

ADAPTIVE CONTROL; ADAPTIVE OUTPUT-FEEDBACK CONTROL; BACKSTEPPING TECHNIQUE; CONTROLLER DESIGNS; HYSTERESIS EFFECT; HYSTERESIS NONLINEARITY; INVERSE; INVERSE FUNCTIONS; TRANSIENT PERFORMANCE; UNCERTAIN DYNAMICS; UNCERTAIN NONLINEAR SYSTEMS;

ASYMPTOTIC STABILITY; CONTROLLERS; HYSTERESIS; NONLINEAR SYSTEMS;

BACKSTEPPING;

EID: 84866902219     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2012.2190208     Document Type: Article

References (29)

1. J. W. Macki, P. Nistri, and P. Zecca, "Mathematical models for hysteresis," Soc. Indust. Appl. Math., vol. 35, pp. 94-123, 1993. (Pubitemid 23644140)
2. I. D. Mayergoyz, The Preisach Model for Hysteresis. Berlin, Germany: Springer-Verlag, 1991.
3. M. A. Krasnosklskii and A. V. Pokrovskii, Systems With Hysteresis. Moscow, Russia: Nauka, 1983.
4. R. Bouc, "Forced vibration of mechanical systems with hysteresis," in Proc. 4th Conf. Nonlin. Oscill., Prague, Czechoslovakia, 1967, p. 315.
5. Y. K.Wen, "Method for random vibration of hysteretic systems," ASCE J. Eng. Mechan., vol. 102, no. 2, pp. 249-263, 1976.
6. M. C. Constantinou and M. A. Adnane, Dynamics of soil-base-isolated structure systems: Evaluation of two models for yielding systems Drexel Univ., Philadelphia, PA, 1987, Report to NSAF: Dep. Civil Eng.
7. F. Ma, H. Zhang, A. Bockstedte, G. C. Foliente, and P. Paevere, "Parameter analysis of the differential model of hysteresis," ASME J. Appl. Mech. , vol. 71, pp. 342-349, 2004. (Pubitemid 40122603)
8. G. Tao and P. V. Kokotovic, Adaptive Control of SystemsWith Actuator and Sensor Nonlinearities. New York: Wiley, 1996.
9. T. E. Pare and J. P. How, "Robust stability and performance analysis of systems with hysteresis nonlinearities," in Proc. Amer. Contr. Conf., 1998, pp. 1904-1908.
10. G. Tao, X. Ma, and Y. Ling, "Optimal and nonlinear decoupling control of systems with sandwiched backlash," Automatica, vol. 37, pp. 165-176, 2001. (Pubitemid 32029126)
11. G. Tao and P. V. Kokotovic, "Adaptive control of systems with unknown output backlash," IEEE Trans. Autom. Contr., vol. 40, pp. 326-330, 1995.
12. N. J. Ahmad and F. Khorrami, "Adaptive control of systems with backlash hysteresis at the input," in Proc. Amer. Contr. Conf., 1999, pp. 3018-3022. (Pubitemid 32079312)
13. J. Zhou, C. Zhang, and C. Wen, "Robust adaptive output control of uncertain nonlinear plants with unknown backlash nonlinearity," IEEE Trans. Autom. Control, vol. 52, no. 3, pp. 503-509, 2007.
14. C. Y. Su, Y. Stepanenko, J. Svoboda, and T. P. Leung, "Robust adaptive control of a class of nonlinear systems with unknown backlash- like hysteresis," IEEE Trans. Autom. Control, vol. 45, no. 12, pp. 2427-2432, 2000. (Pubitemid 32191014)
15. J. Zhou, C. Wen, and Y. Zhang, "Adaptive backstepping control of a class of uncertain nonlinear systems with unknown backlash-like hysteresis," IEEE Trans. Autom. Control, vol. 49, pp. 1751-1757, 2004.
16. C.-Y. Su, Q.Wang, X. Chen, and S. Rakheja, "Adaptive variable structure control of a class of nonlinear systems with unknown Prandtl-Ishlinskii hysteresis," IEEE Trans. Autom. Control, vol. 50, no. 12, pp. 2069-2074, 2005. (Pubitemid 43056322)
17. R. V. Iyer, X. Tan, and P. S. Krishnaprasad, "Approximate inversion of the Preisach hysteresis operator with application to control of smart actuators," IEEE Trans. Autom. Control, vol. 50, no. 6, pp. 798-810, 2005. (Pubitemid 40902704)
18. X. Chen, C.-Y. Su, and T. Fukuda, "Adaptive control for the systems preceded by hysteresis," IEEE Trans. Autom. Control, vol. 53, no. 4, pp. 1019-1025, 2008. (Pubitemid 351795863)
19. X. Chen, T. Hisayama, and C.-Y. Su, "Adaptive control for uncertain continuous-time systems using implicit inversion of Prandtl-Ishlinskii hysteresis representation," IEEE Trans. Autom. Control, vol. 55, no. 10, pp. 2357-2363, 2010.
20. F. Ikhouane, V. Manosa, and J. Rodellar, "Adaptive control of a hysteretic structural systems," Automatica, vol. 41, pp. 225-231, 2005. (Pubitemid 41536572)
21. J. Zhou, C. Wen, and W. Cai, "Adaptive control of a base isolated system for protection of building structures," ASME J. Vibr. Acoust., vol. 128, pp. 261-268, 2006.
22. M. Rakotondrabe, "Bouc-Wen modeling and inverse multiplicative structure to compensate hysteresis nonlinearity in piezoelectric actuators," IEEE Trans. Automat. Sci. Eng., vol. 8, no. 2, pp. 428-431, 2011.
23. M. Krstic, I. Kanellakopoulos, and P. V. Kokotovic, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
24. R. Marino and P. Tomei, Nonlinear Control Design: Geometric, Adaptive and Robust. New York: Prentice-Hall, 1995.
25. J. Zhou, C. Wen, and Y. Zhang, "Adaptive output control of nonlinear systems with uncertain dead-zone nonlinearity," IEEE Trans. Autom. Control, vol. 51, pp. 504-511, 2006.
26. Z. Jiang and L. Praly, "Design of robust adaptive controllers for nonlinear systems with dynamic uncertainties," Automatica, vol. 34, no. 7, pp. 825-840, 1998. (Pubitemid 128401031)
27. H. Khalil, Nonlinear Systems. Upper Saddle River, NJ: MacMillan, 1992.
28. J. Zhou, C. Wen, and C. J. Zhang, "Adaptive backstepping control of a piezo-positioning mechanism with hysteresis," Trans. Canad. Soc. Mechan. Eng., vol. 31, no. 1, pp. 97-110, 2007. (Pubitemid 47510663)
29. F. Lin, H. Shieh, and P. Huang, "Adaptive wavelet neural network control with hysteresis estimation for piezo-positioning mechanism," IEEE Trans. Neural Netw., vol. 17, no. 2, pp. 432-444, 2006. (Pubitemid 43380065)