On improvement of stability conditions for continuous Mamdani-like fuzzy systems

On improvement of stability conditions for continuous Mamdani-like fuzzy systems

This paper is concerned with continuous fuzzy systems with singleton consequents, called type II fuzzy systems. It first introduces the canonical form of an unforced type II fuzzy system and its stability theorem presented in the previous study. Then, improving the stability theorem, it gives necess...

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Veröffentlicht in:IEEE transactions on cybernetics 2004-02, Vol.34 (1), p.120-131
Hauptverfasser: Sugeno, M., Taniguchi, T.
Format: Artikel
Sprache:eng
Schlagworte:
Control system synthesis
Control systems
Control theory
Fuzzy control
Fuzzy systems
Lyapunov method
Nonlinear systems
Stability analysis
Sufficient conditions
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Zusammenfassung:This paper is concerned with continuous fuzzy systems with singleton consequents, called type II fuzzy systems. It first introduces the canonical form of an unforced type II fuzzy system and its stability theorem presented in the previous study. Then, improving the stability theorem, it gives necessary and sufficient conditions such that a type II fuzzy system is stable with respect to a global quadratic Lyapunov function.
ISSN:1083-4419
2168-2267
1941-0492
2168-2275
DOI:10.1109/TSMCB.2003.809226