Study of Trajectory Filtering Methods for ADS-B Based on VSIMM-RSRCKF

Ruixin Li, Hongping Pu
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Abstract

In this paper, an advanced ADS-B trajectory filtering method combining Variable Structure Interactive Multi-Modeling (VSIMM) and Reduced Square Root Volume Kalman Filter (RSRCKF) is proposed. After deeply analyzing the operational characteristics of ADS-B system and the application requirements in the field of aviation, this paper aims to improve the accuracy of ADS-B trajectory tracking by this novel filtering method. In order to cope with the tracking performance problems that may be caused by the model set selection in the traditional interacting multi-model algorithm, the Variable Structure Interacting Multi-Model (VSIMM-RSRCKF) algorithm based on the Simplified Square Root Volume Kalman Filtering is adopted in this study for trajectory filtering. By constructing a comprehensive VSIMM model set to describe the dynamic system of maneuvering targets, the filtering method in this paper simplifies the computational process and reduces the computational complexity by squaring the covariance matrix in the iteration, and at the same time ensures the non-negative qualitative nature of the covariance matrix, which effectively avoids the divergence problem that may occur in the filtering process. The goal of this research is to significantly improve the positioning accuracy and reliability of aircraft using the ADS-B system.
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基于 VSIMM-RSRCKF 的 ADS-B 轨迹滤波方法研究
本文提出了一种结合可变结构交互多模型(VSIMM)和还原平方根卡尔曼滤波器(RSRCKF)的先进 ADS-B 轨迹滤波方法。在深入分析了ADS-B系统的运行特点和航空领域的应用需求后,本文旨在通过这种新型滤波方法提高ADS-B轨迹跟踪的精度。针对传统交互多模型算法中模型集选择可能导致的跟踪性能问题,本研究采用了基于简化平方根量卡尔曼滤波的可变结构交互多模型(VSIMM-RSRCKF)算法进行轨迹滤波。本文的滤波方法通过构建全面的 VSIMM 模型集来描述机动目标的动态系统,在迭代中对协方差矩阵进行平方处理,简化了计算过程,降低了计算复杂度,同时保证了协方差矩阵的非负定性,有效避免了滤波过程中可能出现的发散问题。这项研究的目标是大幅提高使用 ADS-B 系统的飞机的定位精度和可靠性。
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