Dynamical analysis of a reaction-diffusion system with Brusselator kinetics under feedback control

Author

Karafyllis, Iasson ; Christofides, Panagiotis D. ; Daoutidis, Prodromos

Author_Institution

Dept. of Chem. Eng. & Mater. Sci., Minnesota Univ., Minneapolis, MN, USA

Volume

4

fYear

1997

fDate

4-6 Jun 1997

Firstpage

2213

Abstract

Studies the dynamics of the reaction-diffusion (R-D) Brusselator model with Neumann boundary conditions, under nonlinear modal feedback control. The concentration of one of the reactants is chosen as the bifurcation parameter. A direct comparison of the dynamics of the open-loop and closed-loop systems establishes that the use of feedback control significantly suppresses the rich open-loop dynamics. The superiority of the nonlinear controller over a linear controller, in attenuating the effect of bifurcations on the output of the closed-loop system, is also established

Keywords

bifurcation; chemical technology; closed loop systems; control system analysis; dynamics; feedback; nonlinear control systems; process control; Brusselator kinetics; Neumann boundary conditions; bifurcation parameter; closed-loop systems; dynamical analysis; nonlinear controller; nonlinear modal feedback control; open-loop systems; reaction-diffusion system; Adaptive control; Bifurcation; Chaos; Chemical engineering; Control systems; Feedback control; Inductors; Kinetic theory; Nonlinear dynamical systems; Open loop systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.608935

Filename

608935