699
Views
91
CrossRef citations to date
0
Altmetric
Original Articles

Sliding mode state observation for non-linear systems

&
Pages 118-127 | Accepted 01 Nov 2003, Published online: 19 Feb 2007

References

References

  • Amir-Moez , AR . 1956 . Extreme properties of eigenvalues of a Hermitian transformation . Duke Math Journal , 23 : 463 – 476 .
  • Dorling CM Zinober ASI 1983 A comparative study of the sensitivity of observers Proceedings of First IASTED Symposium on Applied Control and Identification Copenhagen 6.32–6.37
  • Edwards , C and Spurgeon , SK . 1994 . On the development of discontinuous observers . International Journal of Control , 59 : 1211 – 1229 .
  • Eising , R . 1984 . Between controllable and uncontrollable . Systems and Control Letters , 4 : 263 – 264 .
  • Green M Limebeer DJN 1995 Linear Robust Control New Jersey Prentice Hall
  • Lancaster , P . 1970 . Explicit solutions of linear matrix equations . SIAM Review , 12 : 544 – 566 .
  • Koshkouei , AJ and Zinober , ASI . 1998 . Sliding mode controller-observer design for SISO linear systems . International Journal of Systems Science , 12 : 1363 – 1373 .
  • Koshkouei , AJ and Zinober , ASI . 2000 a . Sliding mode controller-observer design for multivariable linear systems with unmatched uncertainty . Kybernetika , 36 : 95 – 115 .
  • Koshkouei AJ Zinober ASI 2000 b Adaptive output tracking backstepping sliding mode control of nonlinear systems Proceedings of IFAC ROCOND Conference Prague June 2000
  • Kou , SR , Elliott , DL and Tarn , TJ . 1975 . Exponential observers for nonlinear dynamic systems . Information and Control , 29 : 204 – 216 .
  • Patel RV Toda M 1980 Quantitative measures of robustness for multivariable systems Proceedings of Joint Automatic Control Conference San Francisco USA Paper TP8-A
  • Rajamani , R . 1998 . Observers for Lipschitz nonlinear systems . IEEE Transactions on Automatic Control , 43 : 397 – 401 .
  • Rajamani , R and Cho , YM . 1998 . Existence and design of observers for nonlinear systems: relation to distance to unobservability . International Journal of Control , 69 : 717 – 731 .
  • Shapiro , E . 1974 . On the Lyapunov matrix equation . IEEE Transactions on Automatic Control , 19 : 594 – 596 .
  • Sira-Ramírez , H and Spurgeon , SK . 1994 . On the robust design of sliding mode observers for linear systems . Systems and Control Letters , 23 : 9 – 14 .
  • Thau , FE . 1973 . Observing the state of nonlinear dynamical systems . International Journal of Control , 17 : 471 – 479 .
  • Utkin VI 1992 Sliding Modes in Control and Optimization Berlin Springer-Verlag
  • Walcott , BL and Żak , SH . 1987 . State observation of nonlinear uncertain dynamical systems . IEEE Transactions on Automatic Control , 32 : 166 – 170 .
  • Yaz , E and Azemi , A . 1993 . Variable structure observer with a boundary-layer for correlated noise/disturbance models and disturbance minimization . International Journal of Control , 57 : 1191 – 1206 .
  • Żak SH Walcott BL 1990 State observation of nonlinear control systems via the method of Lyapunov In A. S. I. Zinober (Ed.) Deterministic Control of Uncertain Systems London Peter Peregrinus pp. 333–350

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.