A projection scheme to stability analysis of discrete T-S fuzzy models. (Q1428714)
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scientific article; zbMATH DE number 2062935
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A projection scheme to stability analysis of discrete T-S fuzzy models. |
scientific article; zbMATH DE number 2062935 |
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A projection scheme to stability analysis of discrete T-S fuzzy models. (English)
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29 March 2004
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A class of nonlinear systems, which can be represented by discrete Takagi-Sugeno's fuzzy models, is considered. First, the stability criteria are recasted into the desiring inequality sets. Next, an algorithm for the analysis of the asymptotic stability is proposed. Its basic idea is that for a family of convex and closed sets, the sequentially alternating projections onto these sets converge to a point from the intersection of the family. Two illustrative examples are also presented.
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T-S fuzzy model
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alternating projection method
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numerical examples
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nonlinear systems
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discrete Takagi-Sugeno's fuzzy models
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algorithm
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asymptotic stability
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discrete fuzzy control
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quadratic stability
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