Simulation Analysis of Stability for Fuzzy Systems Based on Efficient Maximal Overlapped-Rules Group

For relaxing the conservatism of stability analysis methods of fuzzy systems, this paper defines a concept of the efficient maximal overlapped-rules group (EMORG), then a theorem is proposed to reduce the difficulty of stability analysis for T-S fuzzy systems, which can guarantee the quadratic stabi...

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Bibliographic Details
Published inAdvanced Research on Electronic Commerce, Web Application, and Communication pp. 415 - 420
Main Author Zhang, Song-tao
Format Book Chapter
LanguageEnglish
Published Berlin, Heidelberg Springer Berlin Heidelberg
SeriesCommunications in Computer and Information Science
Subjects
EMORG
simulation analysis
stability condition
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Summary:For relaxing the conservatism of stability analysis methods of fuzzy systems, this paper defines a concept of the efficient maximal overlapped-rules group (EMORG), then a theorem is proposed to reduce the difficulty of stability analysis for T-S fuzzy systems, which can guarantee the quadratic stability of the open-loop T-S fuzzy systems globally. This theorem only requires finding a local common positive definite matrix in each EMORG. Finally, simulation studies for two illustrative examples are conducted to show the effectiveness of the proposed method.
ISBN:9783642203664
3642203663
ISSN:1865-0929
1865-0937
DOI:10.1007/978-3-642-20367-1_67