Abstract
When a ship is sailing on the sea, the ship will have violent motions due to the influence of waves, and the roll is the most obvious influence. In order to further reduce roll, a design method of fin stabilizer based on Lyapunov stability theory is studied in this paper. The roll motion model of the ship is constructed, and the roll reduction is realized by state feedback controller. Here, Lyapunov stability theory is used to solve the feasible region of the controller. The controller gain is obtained by using the method of linear matrix inequality. Then, the controller parameter optimization based on optimal phase matching can be realized. The anti-rolling performance of the ship is evaluated by the simulation of zig-zag motion. When a ship is in a zig-zag motion, it will roll more violently than when it is in a straight course because it is constantly changing course. Therefore, it is more meaningful to use zig-zag motion shape to verify the performance of fin stabilizer. Compared with the existing methods, the roll reduction rate of the proposed method is significantly improved, which proves that the proposed method is effective.
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