The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Cette étude analyse la stabilité absolue des systèmes de contrôle à logique floue de type P et PD avec des installations linéaires certaines et incertaines. L'analyse de stabilité comprend l'entrée de référence, le gain de l'actionneur et les paramètres de l'usine à intervalles. Pour certaines installations linéaires, la stabilité (c'est-à-dire les équilibres d'erreur stables) dans les types P et PD est analysée avec les méthodes de Popov ou de linéarisation sous diverses entrées de référence et gains d'actionneur. Les erreurs en régime permanent des systèmes de contrôle flou sont également abordées dans le plan des paramètres. Le critère paramétrique robuste de Popov pour la stabilité paramétrique absolue basé sur les systèmes de Lur'e est également appliqué à l'analyse de stabilité des systèmes de contrôle flou de type P avec des installations incertaines. Le contrôleur à logique floue de type PD dans notre approche est un contrôleur à logique floue à entrée unique et est transformé en type P pour l'analyse. Dans notre travail, l'analyse de stabilité absolue des systèmes de contrôle flou est donnée par rapport à une entrée de référence non nulle et à une installation linéaire incertaine avec le critère de Popov paramétrique robuste contrairement aux travaux précédents. De plus, un circuit RC contrôlé par courant flou est conçu avec les modèles PSPICE. Des simulations numériques et PSPICE sont fournies pour vérifier les résultats analytiques. De plus, le mécanisme d'oscillation dans les systèmes de contrôle flou est spécifié avec différents points de vue d'équilibre dans l'exemple de simulation. Enfin, les comparaisons sont également données pour montrer l’efficacité de la méthode d’analyse.
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Bing-Fei WU, Li-Shan MA, Jau-Woei PERNG, "The Absolute Stability Analysis in Fuzzy Control Systems with Parametric Uncertainties and Reference Inputs" in IEICE TRANSACTIONS on Fundamentals,
vol. E92-A, no. 8, pp. 2017-2035, August 2009, doi: 10.1587/transfun.E92.A.2017.
Abstract: This study analyzes the absolute stability in P and PD type fuzzy logic control systems with both certain and uncertain linear plants. Stability analysis includes the reference input, actuator gain and interval plant parameters. For certain linear plants, the stability (i.e. the stable equilibriums of error) in P and PD types is analyzed with the Popov or linearization methods under various reference inputs and actuator gains. The steady state errors of fuzzy control systems are also addressed in the parameter plane. The parametric robust Popov criterion for parametric absolute stability based on Lur'e systems is also applied to the stability analysis of P type fuzzy control systems with uncertain plants. The PD type fuzzy logic controller in our approach is a single-input fuzzy logic controller and is transformed into the P type for analysis. In our work, the absolute stability analysis of fuzzy control systems is given with respect to a non-zero reference input and an uncertain linear plant with the parametric robust Popov criterion unlike previous works. Moreover, a fuzzy current controlled RC circuit is designed with PSPICE models. Both numerical and PSPICE simulations are provided to verify the analytical results. Furthermore, the oscillation mechanism in fuzzy control systems is specified with various equilibrium points of view in the simulation example. Finally, the comparisons are also given to show the effectiveness of the analysis method.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E92.A.2017/_p
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@ARTICLE{e92-a_8_2017,
author={Bing-Fei WU, Li-Shan MA, Jau-Woei PERNG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={The Absolute Stability Analysis in Fuzzy Control Systems with Parametric Uncertainties and Reference Inputs},
year={2009},
volume={E92-A},
number={8},
pages={2017-2035},
abstract={This study analyzes the absolute stability in P and PD type fuzzy logic control systems with both certain and uncertain linear plants. Stability analysis includes the reference input, actuator gain and interval plant parameters. For certain linear plants, the stability (i.e. the stable equilibriums of error) in P and PD types is analyzed with the Popov or linearization methods under various reference inputs and actuator gains. The steady state errors of fuzzy control systems are also addressed in the parameter plane. The parametric robust Popov criterion for parametric absolute stability based on Lur'e systems is also applied to the stability analysis of P type fuzzy control systems with uncertain plants. The PD type fuzzy logic controller in our approach is a single-input fuzzy logic controller and is transformed into the P type for analysis. In our work, the absolute stability analysis of fuzzy control systems is given with respect to a non-zero reference input and an uncertain linear plant with the parametric robust Popov criterion unlike previous works. Moreover, a fuzzy current controlled RC circuit is designed with PSPICE models. Both numerical and PSPICE simulations are provided to verify the analytical results. Furthermore, the oscillation mechanism in fuzzy control systems is specified with various equilibrium points of view in the simulation example. Finally, the comparisons are also given to show the effectiveness of the analysis method.},
keywords={},
doi={10.1587/transfun.E92.A.2017},
ISSN={1745-1337},
month={August},}
Copier
TY - JOUR
TI - The Absolute Stability Analysis in Fuzzy Control Systems with Parametric Uncertainties and Reference Inputs
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2017
EP - 2035
AU - Bing-Fei WU
AU - Li-Shan MA
AU - Jau-Woei PERNG
PY - 2009
DO - 10.1587/transfun.E92.A.2017
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E92-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2009
AB - This study analyzes the absolute stability in P and PD type fuzzy logic control systems with both certain and uncertain linear plants. Stability analysis includes the reference input, actuator gain and interval plant parameters. For certain linear plants, the stability (i.e. the stable equilibriums of error) in P and PD types is analyzed with the Popov or linearization methods under various reference inputs and actuator gains. The steady state errors of fuzzy control systems are also addressed in the parameter plane. The parametric robust Popov criterion for parametric absolute stability based on Lur'e systems is also applied to the stability analysis of P type fuzzy control systems with uncertain plants. The PD type fuzzy logic controller in our approach is a single-input fuzzy logic controller and is transformed into the P type for analysis. In our work, the absolute stability analysis of fuzzy control systems is given with respect to a non-zero reference input and an uncertain linear plant with the parametric robust Popov criterion unlike previous works. Moreover, a fuzzy current controlled RC circuit is designed with PSPICE models. Both numerical and PSPICE simulations are provided to verify the analytical results. Furthermore, the oscillation mechanism in fuzzy control systems is specified with various equilibrium points of view in the simulation example. Finally, the comparisons are also given to show the effectiveness of the analysis method.
ER -