摘要
针对舰船运动的灰色特征,提出用改进的GM(1,1)模型对纵摇运动数据进行建模,改进的GM(1,1)模型是对服从非齐次指数增长规律的数据建模,克服了传统GM(1,1)模型指数规律的不足.首先给出改进GM(1,1)模型的微分方程形式及精确的离散化形式,考虑初值对模型的影响,建立优化灰色模型,提高了模拟精度.该模型为纵摇运动预报提供了一种新的方法.数值试验表明,这种方法较GM(1,1)模型效果好.
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 ac- curate 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.
出处
《哈尔滨工程大学学报》
EI
CAS
CSCD
北大核心
2009年第3期287-291,共5页
Journal of Harbin Engineering University
基金
国防基础科研基金资助项目(A2420061104-06)
关键词
改进GM(1
1)模型
初始条件
纵摇
预测
离散
improved GM （ 1,1 ） model
initialization
ship pitching
prediction
discrete
