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

Iasson Karafyllis, Panagiotis D. Christofides, Prodromos Daoutidis

Research output: Contribution to journalConference articlepeer-review

8 Scopus citations

Abstract

This paper 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.

Original languageEnglish (US)
Pages (from-to)2213-2217
Number of pages5
JournalProceedings of the American Control Conference
Volume4
StatePublished - Jan 1 1997
EventProceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA
Duration: Jun 4 1997Jun 6 1997

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