Global stability of Takagi-Sugeno (T-S) fuzzy model is presented. First, stability conditions for T-S fuzzy model presented by Tanaka and Sugeno are reviewed. Second, new theorems for the stability of the general form of T-S model is derived in the sense of Lyapunov.
The T-S model we studied includes a linear equation with a constant parameter in the consequent part of each rule while other authors have analyzed the model with no constant term, which does not represent a real system. This in turn will impose restrictions on the stability conditions derived in this field. An example is presented to illustrate the new suggested condition.
@article{urn:eudml:doc:39167,
title = {On the global stability of Takagi-Sugeno general model.},
journal = {Mathware and Soft Computing},
volume = {6},
year = {1999},
pages = {293-304},
zbl = {0959.93037},
mrnumber = {MR1774573},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39167}
}
Matía, Fernando; Al-Hadithi, Basil M.; Jiménez, Agustín. On the global stability of Takagi-Sugeno general model.. Mathware and Soft Computing, Tome 6 (1999) pp. 293-304. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39167/