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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 490174, 5 pages
Research Article

Control Synthesis of Uncertain Roesser-Type Discrete-Time Two-Dimensional Systems

1School of Renewable Energy, Shenyang Institute of Engineering, Shenyang, Liaoning 110136, China
2School of Engineering and Information Technology, Murdoch University, Perth, WA 6150, Australia

Received 15 January 2014; Accepted 8 February 2014; Published 19 March 2014

Academic Editor: Weichao Sun

Copyright © 2014 Yan Zhao 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.


This paper is concerned with control synthesis of uncertain Roesser-type discrete-time two-dimensional (2D) systems. The mathematical model of the 2D system’s parameter uncertainty, which may appear typically in many actual environment, is modeled as a convex bounded uncertain domain. By using the Lyapunov stability theory, stabilization conditions is proposed in with the purpose of ensuring the robust asymptotical stability of the underlying closed-loop uncertain Roesser-type discrete-time 2D systems. Furthermore, the obtained result of this paper is formulated in the form of linear matrix inequalities (LMIs), which can be easily solved via standard numerical software. Finally, a numerical example is also provided to demonstrate the effectiveness of the proposed result.