Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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An H∞ Output Feedback Control for Uncertain Singularly Perturbed T-S Fuzzy Systems

  • Yoo, Seog-Hwan (Department of Electronic Engineering, Daegu University) ;
  • Wu, Xue-Dong (Department of Electronic Engineering, Daegu University)
  • 류석환 (대구대학교 대학원 전자공학과) ;
  • 오설동 (대구대학교 대학원 전자공학과)
  • Received : 2009.10.21
  • Accepted : 2009.12.05
  • Published : 2009.12.25
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Abstract

This paper deals with an $H_{\infty}$ output feedback controller design for uncertain singularly perturbed T-S fuzzy systems. Integral quadratic constraints are used to describe various kinds of uncertainties of the plant. It is shown that the $H_{\infty}$ norm of the uncertain singularly perturbed fuzzy system is less than $\gamma$ for a sufficiently small $\varepsilon$ > 0 if the $H_{\infty}$ norms of both the slow and fast subsystem are less than $\gamma$. Using this fact, we develop a linear matrix inequality based design method which is independent of the singular perturbation parameter $\varepsilon$. A numerical example is provided to demonstrate the efficacy of the proposed design method.

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References

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