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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
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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.

Publication 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
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