Proceedings of IEEE 5th International Fuzzy Systems
DOI: 10.1109/fuzzy.1996.552326
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On the approximation capabilities of the homogeneous Takagi-Sugeno model

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Cited by 138 publications
(71 citation statements)
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“…& Xu, W. L. (2000)) and reduces the number of rules in modelling higher order nonlinear systems (Takagi T. & Sugeno, M. (1985)) and (Gang, F. (2006)). T-S fuzzy models are proved to be universal function approximators as they are able to approximate any smooth nonlinear functions to any degree of accuracy in any convex compact region ( Fantuzzi, C. & Rovatti, R. (1996). ), (Johansen, T. A.;Shorten, R. & MurraySmith, R. (2000) ), (Ying, H. (1998)) and (Zeng, K.;Zhang, N. Y.…”
Section: Overview Of Identification and Estimation Of Fuzzy Systemsmentioning
confidence: 99%
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“…& Xu, W. L. (2000)) and reduces the number of rules in modelling higher order nonlinear systems (Takagi T. & Sugeno, M. (1985)) and (Gang, F. (2006)). T-S fuzzy models are proved to be universal function approximators as they are able to approximate any smooth nonlinear functions to any degree of accuracy in any convex compact region ( Fantuzzi, C. & Rovatti, R. (1996). ), (Johansen, T. A.;Shorten, R. & MurraySmith, R. (2000) ), (Ying, H. (1998)) and (Zeng, K.;Zhang, N. Y.…”
Section: Overview Of Identification and Estimation Of Fuzzy Systemsmentioning
confidence: 99%
“…). This fuzzy modelling method presents an alternative technique to represent complex nonlinear systems (Fantuzzi, C. & Rovatti, R. (1996). ), (Ying, H. (1998)) and (Zeng, K.;Zhang, N. Y.…”
Section: Overview Of Identification and Estimation Of Fuzzy Systemsmentioning
confidence: 99%
“…Moreover, the properties of fuzzy prototypes as universal approximators, and the 428 S. Simani identification capabilities of fuzzy output predictors have been investigated, e.g., by Simani et al (2003), Rovatti (1996), or Fantuzzi and Rovatti (1996).…”
Section: Actuatorsmentioning
confidence: 99%
“…in [19,20]. According to the TS modelling approach, the consequents become crisp functions of the input, while the antecedents remain fuzzy propositions, therefore the fuzzy rule takes the form of Eq.…”
Section: Fuzzy System Modellingmentioning
confidence: 99%