control for 2-D singular delayed systems

Huiling Xu and Yun Zou

International Journal of Systems Science, 2011, vol. 42, issue 4, 609-619

Abstract: This article considers the problem of H∞ control for two-dimensional (2-D) singular delayed systems in Roesser models. The problem to be addressed is the design of a state feedback controller such that the acceptability, internal stability and causality of the resulting closed-loop system is guaranteed and a prescribed H∞ performance level is ensured. In terms of a linear matrix inequality (LMI), a sufficient condition for the solvability of the problem is obtained. A desired state feedback controller can be designed by solving a certain LMI. A numerical example is provided to demonstrate the application of the proposed method.

Date: 2011
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DOI: 10.1080/00207720902974728

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