Optimal actuator/sensor placement for nonlinear control of the Kuramoto-Sivashinsky equation

In this paper, we use a methodology that was recently proposed by Antoniades and Christofides to compute the optimal actuator/sensor locations for the stabilization, via nonlinear static output feedback control, of the zero solution of the Kuramoto–Sivashinsky equation (KSE) for values of the instability parameter for which this solution is unstable. The theoretical results are illustrated through computer simulations of the closed-loop system using a high-order discretization of the KSE.