  We propose a method to stabilise a solution to equations describing the
interface of thin liquid films falling under gravity with a finite number of
actuators and restricted observations. As for many complex systems, full
observation of the system state is challenging in physical settings, so methods
able to take this into account are important. The Navier-Stokes equations
modelling the flow are a complex, highly nonlinear set of PDEs, so standard
control theoretical results are not applicable. Instead, we chain together a
hierarchy of increasingly idealised approximations, developing a control
strategy for the simplified model which is shown to be successfully applied to
simulations of the full system.
