Robust control theory, a generalization of optimal control theory, has been
proposed as an effective technique when control algorithms are sensitive t
o a broad class of external disturbances. In [6], a general framework for t
he robust control of the Navier-Stokes equations in finite time horizon was
developed. In this article the robust boundary control for the Kuramoto-Si
vashinsky equation is considered in the same spirit: a robust boundary cont
rol problem is formulated, and the existence and uniqueness for the robust
control problem are proved. A data assimilation problem corresponding to th
e Kuramoto-Sivashinsky equation is considered, existence and uniqueness of
solution are derived. This approach is also applicable as well to other equ
ations with a structure similar to that of the Kuramoto-Sivashinsky equatio
n.