Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 146038, 17 pages
doi:10.1155/2011/146038
Research Article

Robust Sensor Fault Reconstruction for Lipschitz Nonlinear Systems

Department of Electrical Engineering, Sahand University of Technology, P.O. Box 51336-1996, Sahand, Tabriz, Iran

Received 29 December 2010; Revised 27 January 2011; Accepted 3 February 2011

Academic Editor: Oleg V. Gendelman

Copyright © 2011 M. J. Khosrowjerdi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We extend existing theory on robust nonlinear observer design to the class of nonlinear Lipschitz systems where the systems are subject to sensor faults and disturbances. The designed observer is used for robust reconstruction of fault signals. Allowing bounded unknown disturbances to model system uncertainties, it is shown that by adjusting a design parameter we can trade off between fault reconstruction and disturbance attenuation. An LMI procedure solvable using commercially available softwares is presented. Two examples are presented to illustrate the application of the results.