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Mathematical Problems in Engineering
Volume 2013, Article ID 537414, 6 pages
http://dx.doi.org/10.1155/2013/537414
Research Article

Observer-Based Sliding Mode Control for Stabilization of a Dynamic System with Delayed Output Feedback

1School of Applied Mathematics, University Electronic Science and Technology of China, Chengdu 610054, China
2School of Electrical and Information Engineering, Xihua University, Chengdu 610096, China
3School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, SA 5005, Australia
4College of Engineering and Science, Victoria University, Melbourne, VIC 8001, Australia
5Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway

Received 10 July 2013; Accepted 29 August 2013

Academic Editor: Rongni Yang

Copyright © 2013 Bo Wang 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 considers the sliding mode control problem for a kind of dynamic delay system. First by utilizing Lyapunov stability theory and a linear matrix inequality technique, an observer based on delayed output feedback is constructed. Then, an integral sliding surface is presented to realize the sliding mode control for the system with the more available stability condition. Finally, some numerical simulations are implemented to demonstrate the validity of the proposed control method.