Murdoch University Research Repository

Welcome to the Murdoch University Research Repository

The Murdoch University Research Repository is an open access digital collection of research
created by Murdoch University staff, researchers and postgraduate students.

Learn more

Control synthesis of uncertain Roesser-type discrete-time two-dimensional systems

Zhao, Y., Zhang, T., Zhao, D., Wang, C. and Li, M. (2014) Control synthesis of uncertain Roesser-type discrete-time two-dimensional systems. Mathematical Problems in Engineering, 2014 (art no. 490174). pp. 1-5.

Free to read: http://dx.doi.org/10.1155/2014/490174
*No subscription required

Abstract

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.

Item Type: Journal Article
Murdoch Affiliation: School of Engineering and Information Technology
Publisher: Hindawi Publishing Corporation
Copyright: © 2014 Yan Zhao et al.
URI: http://researchrepository.murdoch.edu.au/id/eprint/21951
Item Control Page Item Control Page