Abstract and Applied Analysis
Volume 2013 (2013), Article ID 961870, 12 pages
http://dx.doi.org/10.1155/2013/961870
Research Article

Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous Switching

Shipei Huang,1 Zhengrong Xiang,1 and Hamid Reza Karimi2

1School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China
2Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway

Received 22 February 2013; Accepted 14 April 2013

Academic Editor: Jun Hu

Copyright © 2013 Shipei Huang 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 is concerned with the problem of robust stabilization for a class of uncertain two-dimensional (2D) discrete switched systems with state delays under asynchronous switching. The asynchronous switching here means that the switching instants of the controller experience delays with respect to those of the system. The parameter uncertainties are assumed to be norm-bounded. A state feedback controller is proposed to guarantee the exponential stability. The dwell time approach is utilized for the stability analysis and controller design. A numerical example is given to illustrate the effectiveness of the proposed method.