802
Views
154
CrossRef citations to date
0
Altmetric
Original Articles

Observation and identification of mechanical systems via second order sliding modes

, &
Pages 1251-1262 | Received 24 Nov 2005, Accepted 31 May 2006, Published online: 20 Feb 2007

References

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

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.