| The ship to sail on the water, due to the extreme complexity of the environment may lead to non-linear movement occurs to a ship. Such non-linear movement of the extreme environment is a serious threat to the safety of personnel and equipment, a serious non-linear movement can easily lead to ship sunk due to loss of stability. The most non-linear movement is amplitude roll motion, so how to reduce the roll motion of the increased stability of the ship has an important significance.This paper describes the status of the ship movement in the study and summarizes the current limitations of the theory of ship motion, then established a mathematical model of the dynamics of ship motion. We introduce the three degree of freedom characteristics of surface ships from kinematics and dynamics. We show the horizontal and vertical plane in the space ship equations of motion, but because non-linear motion will show many phenomena such as multi-valued, bifurcation,common anti-rolling manner can not guarantee the ship safety in catastrophe phenomenon, so we use catastrophe theory.Then we carry out a systematic analysis to the ship movition in extreme environments, and equations of motion are derived and extract the mutation model of potential fuction. We get the non-linear ship motion approximate analytic solution of steady-state through the analysis of the model, and the catastrophe theory is applied to establish cusp catastrophe model of rolling. We describe the catastrophe reason of the ship collapse from a new perspective .The last, in order to control the movement of the ship due to the impact of non-linear. It was proposed the potential function model is applied in ship non-linear rolling control and state feedback controller is designed to reduce catastrophe and ensure the stability of the ship, then we use the simulation test the control. Through the comparion with other ship roll stabilization methods can get the result that the use of the potential function model and the use of fin stabilizer can be more effective to ensure the safety of ship operation. |