“…where M = diag{m, m, I x , I z } is the inertia matrix and C(ν) is the Coriolis matrix. F(ν) is the known total drags are denoted by F(ν) = [F u , F v , F p , F r ] T , the details can be obtained in [2]. η = [x, y, ϕ, ψ] T is the position vector matrix of the earth-fixed frame, including the surge and sway position x, y, the roll and yaw angle ϕ, ψ. ν = [u, v, p, r] T is the bodyfixed frame velocity vector matrix, u,v,p,r are the surge, sway, roll and yaw velocity of the ACV respectively.…”