Statistic model for LQG control of ship longitudinal motion

This article mainly focuses on the robustness analysis of LQG control for longitudinal motion of ship with random hydrodynamic parameters satisfying uniform distribution, and the statistic modeling is presented. The result of simulation shows that effect of LQG control submits to normal distribution under the hydrodynamic parameters of ship fluctuating, and the average of control effect has no remarkable changes compared with that without perturbation of hydrodynamic parameters. In some statistic sense, anti-pitch effect of LQG control is gained by proposed method