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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  );
  • 초록

    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.


  • 주제어

    balanced model reduction .   coprime factorization .   T-S fuzzy system .   linear matrix inequality.  

  • 참고문헌 (12)

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    9. Wu, F. and Jaramillo, J.: Numerical algorithm for model reduction of polytopic uncertain linear systems, Proceedings of the American Control Conference, Anchorage, AK, May 8-10 (2002) 1748-1752 
    10. Voo, S.H. and Choi, B.J.: A balanced model reduction for fuzzy systems with time varying delay, International Journal of fuzzy logic and intelligent systems, Vol.4, no.1 (2004) 1-6     
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