  We consider the problem of designing a controller for an unknown bilinear
system using only noisy input-states data points generated by it. The
controller should achieve regulation to a given state setpoint and provide a
guaranteed basin of attraction. Determining the equilibrium input to achieve
that setpoint is not trivial in a data-based setting and we propose the design
of a controller in two scenarios. The design takes the form of linear matrix
inequalities and is validated numerically for a Cuk converter.
