TY - JOUR
T1 - Dynamical analysis of a reaction-diffusion system with Brusselator kinetics under feedback control
AU - Karafyllis, Iasson
AU - Christofides, Panagiotis D.
AU - Daoutidis, Prodromos
PY - 1997
Y1 - 1997
N2 - 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.
AB - 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.
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M3 - Conference article
AN - SCOPUS:0030688319
SN - 0743-1619
VL - 4
SP - 2213
EP - 2217
JO - Proceedings of the American Control Conference
JF - Proceedings of the American Control Conference
T2 - Proceedings of the 1997 American Control Conference. Part 3 (of 6)
Y2 - 4 June 1997 through 6 June 1997
ER -