Observation and identification of mechanical systems via second order sliding modes

International Journal of Control

Volumn 79, Issue 10, 2006, Pages 1251-1262

  Davila, J ^a   Fridman, L ^a   Poznyak, A ^b  

^a Department of Control   (Mexico)

^b DEPARTAMENTO DE FÍSICA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

IDENTIFICATION (CONTROL SYSTEMS); INVARIANCE; LEAST SQUARES APPROXIMATIONS; OBSERVABILITY; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; SLIDING MODE CONTROL;

FINITE TIME; MECHANICAL SYSTEMS; SECOND ORDER SLIDING MODES; TIME-INVARIANT PARAMETERS;

MECHANICAL CONTROL EQUIPMENT;

EID: 33746219711     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170600801635     Document Type: Article

References (25)

1. J. Alvarez, Y. Orlov and L. Acho, "An invariance principle for discontinuous dynamic systems with application to a Coulomb friction oscillator", J. Dyn. Sys., Meas., and Cont., 122, pp. 687-690, 2000.
2. J. Barbot and T. Floquet, "A sliding mode approach of unknown input observers for linear systems", in 43th IEEE Conference on Decision and Control, Atlantis, Paradise Island, Bahamas, pp. 1724-1729, 2004.
3. J. Barbot, T. Boukhobza and M. Djemai, "Sliding mode observer for triangular input form", in 35th IEEE Conference on Decision and Control, Kobe, Japan, pp. 1489-1490, 1996.
4. J.P. Barbot, M. Djemai and T. Boukhobza, "Sliding mode observers" in Sliding Mode Control in Engineering, W. Perruquetti and J.P. Barbot, Eds, pp. 103-130. Control Engineering, New York: Marcel Dekker. 2002.
5. G. Bartolini, A. Pisano, E. Punta and E. Usai, "A survey of applications of second-order sliding mode control to mechanical systems", Inter. J. Cont., 76, pp. 875-892, 2003.
6. J. Davila, L. Fridman and A. Levant, "Second-order sliding-mode observer for mechanical systems", IEEE Trans. Automat. Cont., 50, pp. 1785-1789, 2005.
7. C. Edwards and S.K. Spurgeon, Sliding Mode Control, London: Taylor and Francis, 1998.
8. C. Edwards, S.K. Spurgeon and Chee Pin Tan, "On development and applications of sliding mode observers", in Variable Structure Systems: Towards XXIst Century, J. Xu and Y. Xu, Eds, Lecture Notes in Control and Information Science, Berlin, Germany: Springer-Verlag, 2002, pp. 253-282.
9. P. Eykhoff and P.C. Parks, "Identification and system parameter estimation; where do we stand now?", Automatica, 26, pp. 3-5, 1990.
10. A.F. Filippov, Differential Equations with Discontinuous Right-hand Sides, Dordrecht, The Netherlands: Kluwer Academic Publishers, 1988.
11. L. Fridman, "The problem of chattering: an averaging approach", in Variable Structure, Sliding Mode and Nonlinear Control, K.D. Young and U. Ozguner, Eds, Number 247, Lecture Notes in Control and Information Science, London: Springer-Verlag, 1999, pp. 363-386.
12. H. Hashimoto, V. Utkin, Jian Xin Xu, Hiroyuki Suzuki, F. Harashima, "Vss observer for linear time varying system" in Proceedings of IECON'90, Pacific Grove, CA, 1990, pp. 34-39.
13. G. Lei and H.F. Chen, Identification and Stochastic Adaptive Control, Boston: Birkhäuser, 1991.
14. A. Levant, "Robust exact differentiation via sliding mode technique", Automatica, 34, pp. 379-384, 1998.
15. A. Levant, "High-order sliding modes: differentiation and output-feedback control", Inter. J. Cont., 76, pp. 924-941, 2003.
16. L. Ljung, "Asymptotic behavior of the extended kalman filter as a parameter estimator for linear systems", IEEE Trans. Automat. Cont., 24, pp. 37-50, 1979.
17. L. Ljung and S. Gunnarsson, "Adaptation and tracking in system identification - a survey", Automatica, 26, pp. 7-21, 1990.
18. Y. Orlov, "Sliding mode observer-based synthesis of state derivative-free model reference adaptive control of distributed parameter systems", ASME J. Dyn. Sys., Meas. and Cont., 122, pp. 725-731, 2000.
19. A. Pisano and E. Usai, "Output-feedback control of an underwater vehicle prototype by higher-order sliding modes", Automatica, 40, pp. 1525-1531, 2004.
20. A.S. Poznyak, "Stochastic output noise effects in sliding mode estimations", Inter. J. Cont., 76, pp. 986-999, 2003.
21. A.S. Poznyak and J. Medel, "Matrix forgetting factor", Int. J. Syst. Sci., 30, pp. 165-174, 1999.
22. Y.B. Shtessel, I.A. Shkolnikov and M.D.J. Brown, "An asymptotic second-order smooth sliding mode control", Asian J. Cont., 5, pp. 498-504, 2003.
23. T. Soderstrom and P. Stoica, System Identification, Cambridge, Great Britain: Prentice Hall International, 1989.
24. V.I. Uktin, Sliding Modes in Control and Optimization, Berlin, Germany: Springer-Verlag, 1992.
25. V. Utkin, J. Guldner and J. Shi, Sliding Modes in Electromechanical Systems, London: Taylor and Francis, 1999.