• Journal of the Korean Institute of Intelligent Systems
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• v.7 no.3
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• pp.72-80
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• 1997

A new design method for Takagi-Sugeno (T-S in short) fuzzy controller which guarantees global asymptotic stability and satisfies a desired performance is proposed in this paper. The method uses LMI(Linear Matrix Inequality) approach to find the common symmetric positive definite matrix P and feedback fains K/sub i/, i= 1, 2,..., r, numerically. The LMIs for stability criterion which treats P and K'/sub i/s as matrix variables is derived from Wang et al.'s stability criterion. Wang et al.'s stability criterion is nonlinear MIs since P and K'/sub i/s are coupled together. The desired performance is represented as $ LMIs which place the closed-loop poles of $ local subsystems within the desired region in s-plane. By solving the stability LMIs and pole placement constraint LMIs simultaneously, the feedback gains K'/sub i/s which gurarntee global asymptotic stability and satisfy the desired performance are determined. The design method is verified by designing a T-S fuzzy controller for an inverted pendulum with a cart using the proposed method.

• Asian-Australasian Journal of Animal Sciences
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• v.16 no.5
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• pp.743-747
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• 2003

Applying simple random sampling in typical colony methods in the central area of habitat, 14 structural loci and 31 alleles in blood enzyme and other protein variations of Hu sheep population are examined. After collecting the same data of 11 loci about the 22 sheep colonies in China and other countries, it clusters the 23 sheep populations by fuzzy cluster analysis. The study proves that the phylogenetic relationship between Hu sheep population and Mongolia populations is relatively closed. This result obtained is shown to conform to the historical data.