The aim of this paper is Ships are exposed to assorted hydrodynamic forces originating from internal and external influences. The adverse effect of rolling caused by turning motion should be reduced with anti-rolling systems, to ensure safe navigation. If this effect is not eliminated, it may prevent the ship from keeping its course safely. In this study, fin stabilizer system the computational analysis of the roll motion formed by the turning motion and wave effect is included in fin stabilizer system. The rudder motion that allows the ship to have the desired maneuvering angle; calculations of the fin system, which decreases the excessive roll moment, and the roll motion caused by these two effects are examined using MATLAB software. The analysis period has been determined as 300 seconds, which is the time to reach the desired turning angle of the ship. Linear quadratic tracking (LQT) algorithm has been used to solve partially unknown continuous-time problems such as roll motion in this study.
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