Robust local state observers for nonlinear systems

This paper provides some new developments in the design of robust local unknown input observers for nonlinear systems based on first order Taylor approximation. The necessary and sufficient conditions for the existence of the observer are given. A numerical example is given to illustrate the attractiveness and the simplicity of the new design procedure.

[1]  M. Staroswiecki,et al.  Robust observer based fault diagnosis for a class of nonlinear systems with uncertainty , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[2]  Min-Shin Chen,et al.  Robust Nonlinear Observer for Lipschitz Nonlinear Systems Subject to Disturbances , 2007, IEEE Transactions on Automatic Control.

[3]  M. Staroswiecki,et al.  Fault estimation in nonlinear uncertain systems using robust/sliding-mode observers , 2004 .

[4]  Christopher Edwards,et al.  Nonlinear robust fault reconstruction and estimation using a sliding mode observer , 2007, Autom..

[5]  Hassan Hammouri,et al.  Failure diagnosis and nonlinear observer. Application to a hydraulic process , 2002, J. Frankl. Inst..

[6]  D. Maquin,et al.  Non-linear observer-based fault detection , 1994, 1994 Proceedings of IEEE International Conference on Control and Applications.

[7]  Bin Jiang,et al.  Link between high gain observer-based residual and parity space one , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[8]  Driss Boutat,et al.  An observation algorithm for nonlinear systems with unknown inputs , 2009, Autom..

[9]  Qing Zhao,et al.  LMI-based sensor fault diagnosis for nonlinear Lipschitz systems , 2007, Autom..

[10]  M. Saif,et al.  Unknown input observer design for a class of nonlinear systems: an LMI approach , 2006, American Control Conference.

[11]  J. Barbot,et al.  A new observation algorithm for nonlinear systems with unknown inputs , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.