A Fractional Model Reduction for T-S Fuzzy Systems with State Delay | Zendy

Seog-Hwan Yoo | Zendy; Byung-Jae Choi | Zendy

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A Fractional Model Reduction for T-S Fuzzy Systems with State Delay

Author(s) -

Seog-Hwan Yoo,

Byung-Jae Choi

Publication year - 2006

Publication title -

international journal of fuzzy logic and intelligent systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.296

H-Index - 9

eISSN - 2093-744X

pISSN - 1598-2645

DOI - 10.5391/ijfis.2006.6.3.184

Subject(s) - observability , controllability , mathematics , coprime integers , realization (probability) , control theory (sociology) , state space , reduction (mathematics) , factorization , state space representation , fuzzy logic , state (computer science) , fuzzy control system , upper and lower bounds , discrete mathematics , mathematical analysis , algorithm , computer science , control (management) , statistics , geometry , artificial intelligence

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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