  This paper is concerned with the local output feedback stabilization of a
nonlinear Kuramoto-Sivashinsky equation. The control is located at the boundary
of the domain while the measurement is selected as a Neumann trace. This choice
of system output requires the study of the system trajectories in $H^2$-norm.
Moreover, the choice of the actuation/sensing scheme is discussed and adapted
in function of the parameters of the plant in order to avoid the possible loss
of controllability/observability property of certain eigenvalues of the
underlying operator. This leads in certain cases to a multi-input multi-output
control design procedure. The adopted control strategy is finite dimensional
and relies on spectral reduction methods. We derive sufficient conditions
ensuring the local exponential stabilization of the plant. These control design
constraints are shown to be feasible provided the order of the controller is
selected to be large enough, ensuring that the reported control design
procedure is systematic.
