This work concerns the stability analysis of a non-linear system controlled by a fuzzy T-S control law. It is shown that the closed loop system is in general expressed by a T-S fuzzy system composed of rules with affine linear systems in their consequent parts. The stability of affine T-S systems is then investigated for a special case using as an example the regulation problem of single link robot arm. Stability conditions are derived using the indirect and direct Lyapunov method and simulation results are presented.
@article{urn:eudml:doc:39192,
title = {On the stability of T-S fuzzy control for non-linear systems.},
journal = {Mathware and Soft Computing},
volume = {7},
year = {2000},
pages = {125-137},
zbl = {1002.93531},
mrnumber = {MR1858050},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39192}
}
Doulgeri, Zoe; Theocharis, John B. On the stability of T-S fuzzy control for non-linear systems.. Mathware and Soft Computing, Tome 7 (2000) pp. 125-137. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39192/