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control for 2-D singular delayed systems

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  • Huiling Xu
  • Yun Zou

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.

Suggested Citation

  • Huiling Xu & Yun Zou, 2011. "control for 2-D singular delayed systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(4), pages 609-619.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:4:p:609-619
    DOI: 10.1080/00207720902974728
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