Disturbance rejection using Takagi-Sugeno fuzzy model applied to an interconnected tank system

Author

Delmotte, Francois ; Guerra, Thierry-Marie ; Kamoun, A.

Volume

4

fYear

2003

fDate

5-8 Oct. 2003

Firstpage

3352

Abstract

This paper presents control and stabilization of an interconnected tank system that can be used in irrigation systems and chemical processes for mixing liquids. We propose a nonlinear controller with a state space representation based on Takagi-Sugeno fuzzy models [Takagi, T. and Sugeno, M., 1985]. This controller is based on an affine PDC (parallel distributed and compensation) control law and an augmented fuzzy observer to reject disturbances. Stability and stabilization of the closed loop is proved by a Lyapunov approach using a quadratic function. The whole conditions of stabilization can be put in the form of a LMI problem that can be conveniently solved.

Keywords

Lyapunov methods; fuzzy control; fuzzy set theory; interconnected systems; irrigation; linear matrix inequalities; nonlinear control systems; observers; stability; state-space methods; tanks (containers); LMI problem; Lyapunov approach; Takagi-Sugeno fuzzy model; augmented fuzzy observer; chemical processes; disturbance rejection; interconnected tank system; irrigation systems; nonlinear controller; quadratic function; stabilization; state space representation; Chemical processes; Control systems; Distributed control; Fuzzy control; Fuzzy systems; Irrigation; Liquids; Stability; State-space methods; Takagi-Sugeno model;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 2003. IEEE International Conference on

ISSN

1062-922X

Print_ISBN

0-7803-7952-7

Type

conf

DOI

10.1109/ICSMC.2003.1244407

Filename

1244407