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http://dx.doi.org/10.5391/IJFIS.2006.6.3.184

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)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.6, no.3, 2006 , pp. 184-189 More about this Journal
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.
Keywords
balanced model reduction; coprime factorization; T-S fuzzy system; linear matrix inequality;
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Times Cited By KSCI : 1  (Citation Analysis)
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