基于AE-LS-SVM的船舶操纵运动灰箱建模方法

    Grey-box modeling of ship maneuvering motion based on AE-LS-SVM

    • 摘要: 为提高船舶运动预测的准确性,本文提出了一种基于Alpha进化算法(AE)优化最小二乘支持向量机(LSSVM)的船舶运动灰箱建模方法(AE-LS-SVM)。该方法利用AE优秀的全局搜索能力对LS-SVM超参数进行寻优,在Abkowitz模型的基础上,构建包含操纵变量和船舶响应的三自由度船舶操纵运动灰箱模型。通过海洋模拟器进行船舶操纵试验获得数据集,将本研究所建立的灰箱模型与GWO-LS-SVM和PSO-LS-SVM建立的灰箱模型进行操纵试验对比分析。试验结果表明,AE-LS-SVM方法在模型输出结果的均方误差(MSE)上分别降低了约6%和4%,平均绝对百分比误差(MAPE)分别降低了约3.84%和1.96%,相关系数(CC)分别提高了0.13%和0.04%。此外,通过在训练数据集中引入不同水平的干扰以模拟系统测量误差,进一步验证了该方法的抗干扰性能。研究结果表明,AE-LS-SVM方法具有较高的建模精度和良好的抗干扰性,可以为船舶运动预测提供一定程度的支持。

       

      Abstract: This study aims to improve the accuracy of ship motion prediction by proposing a gray-box modeling method for ship maneuvering motion,termed AE-LS-SVM,which combines the Alpha Evolution(AE) algorithm to optimize the Least Squares Support Vector Machine(LS-SVM). The AE algorithm's superior global search capability was employed to optimize the hyperparameters of LS-SVM. The dataset in this study was obtained through ship maneuvering tests conducted using the Marine Systems Simulator(MSS). Based on the Abkowitz model,a three-Degree-of-Freedom(3-DOF) gray-box model of ship maneuvering motion was constructed,incorporating maneuvering variables and ship responses. The gray-box model established in this study was then subjected to comparative analysis with gray-box models developed using GWO-LS-SVM(Grey Wolf Optimizer) and PSO-LS-SVM(Particle Swarm Optimization) through maneuvering tests. Experimental results demonstrate that the AE-LS-SVM method achieves reductions in Mean Squared Error(MSE) of approximately 6% and 4%,reductions in Mean Absolute Percentage Error(MAPE) of 3. 84% and 1.96%,and improvements in correlation coefficient(CC) of 0.13% and 0.04%,respectively,compared to the two benchmark methods. Additionally,the anti-interference capability of the proposed method was validated by introducing varying levels of noise into the training dataset to simulate measurement errors. The findings indicate that the AE-LS-SVM method exhibits high modeling accuracy and robust noise resistance,offering valuable support for ship motion prediction.

       

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