Li Lin, Sun Shiyan, Zhu Huimin, Zheng Chaobing, Zeng Yaqin
Department of Weaponry Engineering, Naval University of Engineering, Wuhan, China.
The School of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan, China.
PLoS One. 2025 Jun 2;20(6):e0323718. doi: 10.1371/journal.pone.0323718. eCollection 2025.
The prediction of aircraft manoeuvre trajectories is an important prerequisite for decision making. However, how to achieve real-time and scientific aircraft manoeuvre trajectory prediction using trajectory data needs to be addressed urgently. To solve this problem, we propose a hybrid algorithm based on Improved Beetle Antennae Search (BAS), Aircraft Manoeuvre Boundary Point Identification algorithm, Adaptive Dynamic Integration (ADI) and Volterra series, called ADIBAS-Volterra. Firstly, a large amount of trajectory sample data is trained to construct the BAS-Volterra algorithm suitable for predicting aircraft manoeuvre trajectories, which achieves a balance between global and local solutions. Secondly, in order to improve the accuracy of the online manoeuvre trajectory prediction of our proposed model in complex environments, the parameters of the whole prediction model based on the BAS-Volterra algorithm are adaptively updated according to the identification results of the aircraft manoeuvre boundary points, including the optimisation of the algorithmic weights and the optimisation of the parameters. Compared with the existing state-of-the-art methods, the newly proposed aircraft manoeuvre trajectory prediction algorithm adopts K-means clustering to initialise the tentacle position, which can flexibly adjust the search strategy at different stages and make the algorithm more reasonable. Four measures, Relative Root Mean Square Error (RRMSE), Mean Absolute Deviation (MAD), Mean Absolute Percentage Error (MAPE) and Normalised Mean Square Error (NMSE) were used to assess prediction accuracy. Finally, the scientific validity of the proposed algorithm is verified using Mackey Glass and Rossler datasets.
飞机机动轨迹预测是决策的重要前提。然而,如何利用轨迹数据实现实时、科学的飞机机动轨迹预测亟待解决。为解决这一问题,我们提出了一种基于改进甲虫触角搜索(BAS)、飞机机动边界点识别算法、自适应动态积分(ADI)和沃尔泰拉级数的混合算法,称为ADIBAS-Volterra。首先,对大量轨迹样本数据进行训练,构建适用于预测飞机机动轨迹的BAS-Volterra算法,该算法在全局解和局部解之间取得平衡。其次,为提高所提模型在复杂环境下在线机动轨迹预测的准确性,基于BAS-Volterra算法的整个预测模型的参数根据飞机机动边界点的识别结果进行自适应更新,包括算法权重的优化和参数的优化。与现有最先进方法相比,新提出的飞机机动轨迹预测算法采用K均值聚类初始化触角位置,能够在不同阶段灵活调整搜索策略,使算法更加合理。采用相对均方根误差(RRMSE)、平均绝对偏差(MAD)、平均绝对百分比误差(MAPE)和归一化均方误差(NMSE)四种指标评估预测精度。最后,利用Mackey Glass和Rossler数据集验证了所提算法的科学有效性。