The ever-increasing need for larger energy production and for a reduction of dependency on fossil fuels, in favor of renewable energies, has led to the pursuit of new concepts that can exploit natural resources efficiently. In this scenario, offshore wind-wave hybrid platforms have been recently promoted: sharing facilities, infrastructure, and grid connections, gives them the potential to increase energy production at a lower cost. However, an efficient realisation of these two combined technologies requires two potentially conflicting control objectives: on the one hand, for the wind turbine, a reduced movement of the platform is required, which essentially translates to enhanced stability of the structure, so that its behavior resembles standard onshore wind technologies.