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

Author

Castillo-Toledo, Bernardino ; Meda-Campaña, Jesús A.

Author_Institution

Centro de Investigacion y de Estudios Avanzados del IPN, Guadalajara, Mexico

Volume

12

Issue

3

fYear

2004

fDate

6/1/2004 12:00:00 AM

Firstpage

360

Lastpage

367

Abstract

This paper is concerned with the design of a robust regulator capable of achieving trajectory tracking for discrete-time nonlinear systems under parameter uncertainty. By assuming 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 modeling and the regulator theory is presented. Conditions for the existence of a robust regulator under this approach are then derived and extended to include the use of the linear matrix inequality (LMI) technique.

Keywords

control system synthesis; discrete time systems; fuzzy control; fuzzy systems; linear matrix inequalities; nonlinear control systems; robust control; Takagi Sugeno dynamic fuzzy model; discrete time nonlinear systems; linear matrix inequality; nonlinear system; parameter uncertainty; robust regulator; trajectory tracking; Control systems; Equations; Fuzzy systems; Linear matrix inequalities; Nonlinear dynamical systems; Nonlinear systems; Regulators; Robustness; Trajectory; Uncertain systems; Fuzzy systems; LMIs; T–S; Takagi–Sugeno; linear matrix inequalities; modeling; nonlinear discrete systems; regulation theory;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/TFUZZ.2004.825996

Filename

1303606