International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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A Fractional Model Reduction for T-S Fuzzy Systems with State Delay

  • Yoo Seog-Hwan (School of Electronic Engineering, Daegu University) ;
  • Choi Byung-Jae (School of Electronic Engineering, Daegu University)
  • Published : 2006.09.01
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Abstract

This paper deals with a fractional model reduction for T-S fuzzy systems with time varying delayed states. A contractive coprime factorization of time delayed T-S fuzzy systems is defined and obtained by solving linear matrix inequalities. Using generalized controllability and observability gramians of the contractive coprime factor, a balanced state space realization of the system is derived. The reduced model will be obtained by truncating states in the balanced realization and an upper bound of model approximation error is also presented. In order to demonstrate efficacy of the suggested method, a numerical example is performed.

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References

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