On the stability of T-S fuzzy control for non-linear systems.

Zoe Doulgeri; John B. Theocharis

Mathware and Soft Computing (2000)

  • Volume: 7, Issue: 2-3, page 125-137
  • ISSN: 1134-5632

Abstract

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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.

How to cite

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Doulgeri, Zoe, and Theocharis, John B.. "On the stability of T-S fuzzy control for non-linear systems.." Mathware and Soft Computing 7.2-3 (2000): 125-137. <http://eudml.org/doc/39192>.

@article{Doulgeri2000,
abstract = {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.},
author = {Doulgeri, Zoe, Theocharis, John B.},
journal = {Mathware and Soft Computing},
keywords = {Control difuso; Sistemas no lineales; Sistemas de control; Estabilidad},
language = {eng},
number = {2-3},
pages = {125-137},
title = {On the stability of T-S fuzzy control for non-linear systems.},
url = {http://eudml.org/doc/39192},
volume = {7},
year = {2000},
}

TY - JOUR
AU - Doulgeri, Zoe
AU - Theocharis, John B.
TI - On the stability of T-S fuzzy control for non-linear systems.
JO - Mathware and Soft Computing
PY - 2000
VL - 7
IS - 2-3
SP - 125
EP - 137
AB - 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.
LA - eng
KW - Control difuso; Sistemas no lineales; Sistemas de control; Estabilidad
UR - http://eudml.org/doc/39192
ER -

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