Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 623426, 20 pages
http://dx.doi.org/10.1155/2012/623426
Research Article

Fault-Reconstruction-Based Cascaded Sliding Mode Observers for Descriptor Linear Systems

Jinyong Yu,1 Guanghui Sun,1 and Hamid Reza Karimi2

1Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China
2Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway

Received 25 May 2012; Accepted 8 July 2012

Academic Editor: Zidong Wang

Copyright © 2012 Jinyong Yu et al. 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

This paper develops a cascaded sliding mode observer method to reconstruct actuator faults for a class of descriptor linear systems. Based on a new canonical form, a novel design method is presented to discuss the existence conditions of the sliding mode observer. Furthermore, the proposed method is extended to general descriptor linear systems with actuator faults. Finally, the effectiveness of the proposed technique is illustrated by a simulation example.