493
Views
55
CrossRef citations to date
0
Altmetric
Original Articles

Finite-time state observation for non-linear uncertain systems via higher-order sliding modes

, , &
Pages 1564-1574 | Received 17 Jun 2008, Accepted 29 Oct 2008, Published online: 18 Jun 2009

References

  • Ahmed-Ali , T , Floret , F and Lamnabhi-Lagarrigue , F . 2004 . Robust Identification and Control with Time-varying Parameter Perturbations . Mathematical and Computer Modelling of Dynamical Systems , 10 : 201 – 216 .
  • Ahmed-Ali , T , Kenne , G and Lamnabhi-Lagarrigue , F . 2007 . Nonlinear Systems Parameter Estimation using Neural Networks: Application to Syncronous Machines . Mathematical and Computer Modelling of Dynamical Systems , 13 : 365 – 382 .
  • Barbot , J , Djemai , M and Boukhobza , T . 2002 . “ Sliding Mode Observers ” . In Sliding Mode Control in Engineering, ser. Control Engineering , Edited by: Perruquetti , W and Barbot , J . 103 – 130 . New York : Marcel Dekker .
  • Davila , J , Fridman , L and Levant , A . 2005 . Second-order Sliding-mode Observer for Mechanical Systems . IEEE Transactions on Automatic Control , 50 : 1785 – 1789 .
  • Davila , J , Fridman , L and Poznyak , A . 2006 . Observation and Identification of Mechanical Systems via Second-order Sliding Modes . International Journal of Control , 79 : 1251 – 1262 .
  • Edwards , C and Spurgeon , S . 1998 . Sliding Mode Control , London : Taylor and Francis .
  • Edwards , C , Spurgeon , S and Tan , CP . 2002 . “ On Development and Applications of Sliding Mode Observers ” . In Variable Structure Systems: Towards 21st Century, ser. Lecture Notes in Control and Information Science , Edited by: Yu , X and Xu , J . 253 – 282 . Berlin, , Germany : Springer Verlag .
  • Filippov , A . 1988 . Differential Equations with Discontinuous Right-hand Sides , Dordrecht, , The Netherlands : Kluwer Academic Publishers .
  • Floquet , T and Barbot , J . 2006 . “ A Canonical Form for the Design of Unknown Input Sliding Mode Observers ” . In Advances in Variable Structure and Sliding Mode Control, ser. Lecture Notes in Control and Information Science , Edited by: Edwards , C , Fossas , E and Fridman , L . 271 – 292 . Berlin : Springer Verlag .
  • Fridman , L , Levant , A and Davila , J . 2007 . Observation of Linear Systems with Unknown Inputs via High-order Sliding-modes . International Journal of System Science , 38 : 773 – 791 .
  • Fridman , L , Shtessel , Y , Edwards , C and Yan , X . 2008 . Higher-order Sliding-mode Observer for State Estimation and Input Reconstruction in Nonlinear Systems . International Journal of Robust Nonlinear Control , 18 : 399 – 413 .
  • Gauthier , J , Hammouri , H and Othman , S . 1992 . A Simple Observer for Nonlinear Systems Applications to Bioreactors . IEEE Transactions on Automatic Control , 37 : 875 – 880 .
  • Haskara , I and Ozguner , U . 2000 . Stability Analysis of a Sliding Observer Based Robust Output Tracking Control Design for a Nonlinear System . Proceedings of the 39th IEEE Conference on Decision and Control . 2000 , Sydney, Australia. pp. 2186 – 2191 .
  • Isidori , A . 1996 . Nonlinear Control Systems , London : Springer-Verlag .
  • Levant , A . 2003 . High-order Sliding Modes: Differentiation and Output-feedback Control . International Journal of Control , 76 : 924 – 941 .
  • Levant , A . 2005 . Quasi-continuous High-order Sliding-mode Controllers . IEEE Transactions on Automatic Control , 50 : 1812 – 1816 .
  • Levant , A . 2006 . Homogeneous Quasi-continuous Sliding-mode Control . Lecture Notes in Control and Information Sciences , 334 : 143 – 168 .
  • Luenberger , DG . 1964 . Observing the State of a Linear System . IEEE Transactions on Military Electronics , MIL-8 ( 2 ) : 74 – 80 .
  • Poznyak , A . 2003 . Stochastic Output Noise Effects in Sliding Mode Estimations . International Journal of Control , 76 : 986 – 999 .
  • Rocha-Cozatl , E and Moreno , J . 2004 . “ Dissipativity and Design of Unknown Input Observers for Nonlinear Systems ” . In in Proceedings of the 6th IFAC-Symosium on Nonlinear Control Systems 615 – 620 . Stuttgart, , Germany
  • Rössler , O . 1976 . An Equation for Continuous Chaos . Physics Letters A , 57 : 397 – 8 .
  • 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.