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

Research output: Contribution to journal › Conference article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	2159-2164
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	2
State	Published - 2002
Externally published	Yes
Event	41st IEEE Conference on Decision and Control - Las Vegas, NV, United States Duration: 10 Dec 2002 → 13 Dec 2002

Keywords

Fuzzy systems
LMIs
Nonlinear discrete systems
Regulation theory
Takagi-Sugeno modelling

Cite this

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abstract = "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.",

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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

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SN - 0191-2216

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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

Abstract

Keywords

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