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

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.