Graphical abstract The 2D numerical wave flume and boundary conditions. The incident surface wave propagates from the left and interacts with the floating platform. Most of the wave energy could be dissipated during the wave–structure interaction. Based on natural physics, when the incident wave reaches a permeable medium, part of the wave energy is reflected backward (reflected wave) and part is transferred to the medium (transmitted wave). Transmitted waves might result from dispersion of the incident waves. The incident wave energy causes structural oscillation which also causes reflected gravity waves and transmitted waves. This complex dynamic mechanism can be simplified into three sections which can then be solved by the method of separation of variables. Highlights ► An NN-based model is applied for a tension leg platform (TLP) system. ► A LDI state-space representation is constructed. ► Control performance is achieved by using the PDC scheme to ensure the stability of TLP systems. ► A simulation example based on practical data is given. ► The numerical experiments indicate the efficiency and robustness of the proposed NN based approach.