I. Introduction
Ship’s roll motion is vital for navigational efficiency and marine safety. The prediction of ship roll is also necessary for ship operations such as maneuvering in rough sea and operating of air vehicles onboard the ship. However, ship roll motion in the sea is a complex process with time-varying dynamics and uncertainties which are caused by various influential factors [1]. Ship roll dynamics vary with changes of navigational status such as sailing speed, trim and loading conditions [2]. Moreover, variations are also influenced by environmental factors like winds [3], currents and waves [4]. Ship’s roll and other types of ship movements, such as heave [5] and pitch [6] motions are influenced and coupled with each other [7]. Therefore, the process of ship motion is complex and difficult to be precisely represented by deterministic models [8], [9]. To get precise predictions for real-time ship roll dynamics, an adaptive nonlinear model is crucially needed.