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

In this work, we use the methodology that was recently proposed by Antoniades et al. (2001) 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.