On the global stability of Takagi-Sugeno general model.

Fernando Matía; Basil M. Al-Hadithi; Agustín Jiménez

Mathware and Soft Computing (1999)

  • Volume: 6, Issue: 2-3, page 293-304
  • ISSN: 1134-5632

Abstract

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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.

How to cite

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Matía, Fernando, Al-Hadithi, Basil M., and Jiménez, Agustín. "On the global stability of Takagi-Sugeno general model.." Mathware and Soft Computing 6.2-3 (1999): 293-304. <http://eudml.org/doc/39167>.

@article{Matía1999,
abstract = {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.},
author = {Matía, Fernando, Al-Hadithi, Basil M., Jiménez, Agustín},
journal = {Mathware and Soft Computing},
keywords = {Control difuso; Lógica difusa; Modelos matemáticos; fuzzy control; Takagi-Sugeno fuzzy models; asymptotic stability},
language = {eng},
number = {2-3},
pages = {293-304},
title = {On the global stability of Takagi-Sugeno general model.},
url = {http://eudml.org/doc/39167},
volume = {6},
year = {1999},
}

TY - JOUR
AU - Matía, Fernando
AU - Al-Hadithi, Basil M.
AU - Jiménez, Agustín
TI - On the global stability of Takagi-Sugeno general model.
JO - Mathware and Soft Computing
PY - 1999
VL - 6
IS - 2-3
SP - 293
EP - 304
AB - 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.
LA - eng
KW - Control difuso; Lógica difusa; Modelos matemáticos; fuzzy control; Takagi-Sugeno fuzzy models; asymptotic stability
UR - http://eudml.org/doc/39167
ER -

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