Prediction of ship pitching based on an improved Grey GM(1,1) model

Based on grey characteristics of ship movements,this paper puts forward a method for modeling ship pitching using an improved GM(1,1) model.The improved GM(1,1) model assumes the sequence of movements is analogous to the non-uniform exponential law,breaking the restricted zone of the traditional GM(1,1) model with an approximate exponential law.First,the differential equation of the improved GM(1,1) model and the accurate discrete model were given and the initial point's effect on the model was discussed,establishing the optimized grey model.The model can improve precision of simulations.It offers a novel method for the prediction of ship pitching.Test results imply that the method is better than the standard GM(1,1) model.