Boundary control of the Korteweg-de Vries-Burgers equation: Further results on stabilization and well-posedness, with numerical demonstration

We consider the Korteweg-de Vries-Burgers (KdVB) equation on the interval [0,1], Motivated by simulations resulting in modest decay rates with recently proposed control laws by Liu and Krstic which keeps some of the boundary conditions as homogeneous, we propose a strengthened set of feedback boundary conditions. We establish stability properties of the closed-loop system, prove well-posedness and illustrate the performance improvement by a simulation example.