The fuzzy discrete-time robust regulation problem: A LMI approach

B. Castillo-Toledo; J. A. Meda-Campaña

The fuzzy discrete-time robust regulation problem: A LMI approach

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Resumen

This work is concerned with the design of a robust regulator, capable of achieving trajectory tracking for discrete-time nonlinear systems under parameter uncertainty. It is assumed that the behavior of the nonlinear system is described, at least locally, by a Takagi-Sugeno dynamic fuzzy model, an approach based in the combination of this fuzzy modelling and the regulator theory is presented. Condition for the existence of a robust regulator under this approach are then derived and extended to include the use of the LMI technique.

Idioma original	Inglés
Páginas (desde-hasta)	2159-2164
Número de páginas	6
Publicación	Proceedings of the IEEE Conference on Decision and Control
Volumen	2
Estado	Publicada - 2002
Publicado de forma externa	Sí
Evento	41st IEEE Conference on Decision and Control - Las Vegas, NV, Estados Unidos Duración: 10 dic. 2002 → 13 dic. 2002

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keywords = "Fuzzy systems, LMIs, Nonlinear discrete systems, Regulation theory, Takagi-Sugeno modelling",

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journal = "Proceedings of the IEEE Conference on Decision and Control",

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note = "41st IEEE Conference on Decision and Control ; Conference date: 10-12-2002 Through 13-12-2002",

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N2 - This work is concerned with the design of a robust regulator, capable of achieving trajectory tracking for discrete-time nonlinear systems under parameter uncertainty. It is assumed that the behavior of the nonlinear system is described, at least locally, by a Takagi-Sugeno dynamic fuzzy model, an approach based in the combination of this fuzzy modelling and the regulator theory is presented. Condition for the existence of a robust regulator under this approach are then derived and extended to include the use of the LMI technique.

AB - This work is concerned with the design of a robust regulator, capable of achieving trajectory tracking for discrete-time nonlinear systems under parameter uncertainty. It is assumed that the behavior of the nonlinear system is described, at least locally, by a Takagi-Sugeno dynamic fuzzy model, an approach based in the combination of this fuzzy modelling and the regulator theory is presented. Condition for the existence of a robust regulator under this approach are then derived and extended to include the use of the LMI technique.

KW - Fuzzy systems

KW - LMIs

KW - Nonlinear discrete systems

KW - Regulation theory

KW - Takagi-Sugeno modelling

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M3 - Artículo de la conferencia

AN - SCOPUS:0036990553

SN - 0191-2216

VL - 2

SP - 2159

EP - 2164

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

Y2 - 10 December 2002 through 13 December 2002

ER -

The fuzzy discrete-time robust regulation problem: A LMI approach

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