High order sliding modes observer

We first recall some definitions of the high order sliding mode in ideal and real cases. Secondly, on a simple example with simulations we show the application of these techniques to resolve the observation problem. After these, we generalise the high order observer design to the single output injection form. Finally, we give some concluding remarks and perspectives.

[1]  Antonella Ferrara,et al.  Real-Time Output Derivatives Estimation by Means of Higher Order Sliding Modes , 1998 .

[2]  G. Bartolini,et al.  Control of nonlinear variable structure systems , 1986 .

[3]  Salvatore Monaco,et al.  A combinatorial approach of the nonlinear sampling problem , 1990 .

[4]  J. Barbot,et al.  Sliding mode observer for triangular input form , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[5]  S. V. Emel'yanov,et al.  Higher-order sliding modes in binary control systems , 1986 .

[6]  S. Drakunov Sliding-mode observers based on equivalent control method , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[7]  A. Levant Higher order sliding: Collection of design tools , 1997, 1997 European Control Conference (ECC).

[8]  A. Levant Sliding order and sliding accuracy in sliding mode control , 1993 .

[9]  S. V. Emel'yanov,et al.  High-order sliding modes in control systems , 1996 .

[10]  H. Sira-Ramírez On the dynamical sliding mode control of nonlinear systems , 1993 .

[11]  P. Borne,et al.  A note on sliding observer and controller for generalized canonical forms , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[12]  Jean-Pierre Barbot,et al.  Nonlinear Sliding Observer for Systems in Output and Output Derivative Injection Form , 1996 .

[13]  Arie Levant,et al.  Higher order sliding modes as a natural phenomenon in control theory , 1996 .

[14]  V. Utkin,et al.  Sliding mode observers. Tutorial , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.