A nonlinear filter based on GSK for relative navigation using relative orbital elements

IF 5 1区工程技术 Q1 ENGINEERING, AEROSPACE

Aerospace Science and Technology Pub Date : 2024-10-28 DOI:10.1016/j.ast.2024.109692

Bing Hua, Xue Gao, Xiaosong Wei

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引用次数: 0

Abstract

Due to the sensitivity of the relative orbital elements model to the measurement noise, the non-stationary heavy-tailed noise(NSHT) induced by the time-varying environment during the relative navigation usually leads to filter divergence. To address this problem, a new nonlinear filter based on Gaussian-Student's-Multivariate K(GSK) mixture distribution is proposed in this paper. A Dirichlet stochastic mixture vector fusing Gaussian, Student's t, and Multivariate K distributions is introduced, thus proposing a GSK mixture distribution modeling measurement likelihood; then the Kullback-Leibler Divergence (KLD) of the true posteriori probability density function(PDF) and the approximate posteriori PDF are minimized by a variational Bayesian(VB) technique to solve for the state and parameter approximate a posteriori estimations, and finally a new nonlinear filter based on the GSK mixture distribution is derived for angles-only relative navigation in time-varying environments. Simulation outcomes indicate that the filter can realize state estimation in non-stationary states effectively with 45.16% higher estimation accuracy than the existing advanced filters.

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基于 GSK 的非线性滤波器，用于利用相对轨道要素进行相对导航

由于相对轨道要素模型对测量噪声的敏感性，相对导航过程中由时变环境引起的非稳态重尾噪声（NSHT）通常会导致滤波器发散。针对这一问题，本文提出了一种基于高斯-学生-多变量 K（GSK）混合分布的新型非线性滤波器。本文引入了一种融合高斯分布、Student's t 分布和多元 K 分布的 Dirichlet 随机混合向量，从而提出了一种模拟测量似然的 GSK 混合分布；然后通过变异贝叶斯（VB）技术最小化真实后验概率密度函数（PDF）和近似后验概率密度函数（PDF）的库尔贝-莱布勒发散（KLD），求解状态和参数的近似后验估计值，最后推导出一种基于 GSK 混合分布的新型非线性滤波器，用于时变环境中的只角相对导航。仿真结果表明，该滤波器能有效实现非平稳状态下的状态估计，估计精度比现有的高级滤波器高 45.16%。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Aerospace Science and Technology 工程技术-工程：宇航

CiteScore

10.30

自引率

28.60%

发文量

654

审稿时长

54 days

期刊介绍： Aerospace Science and Technology publishes articles of outstanding scientific quality. Each article is reviewed by two referees. The journal welcomes papers from a wide range of countries. This journal publishes original papers, review articles and short communications related to all fields of aerospace research, fundamental and applied, potential applications of which are clearly related to: • The design and the manufacture of aircraft, helicopters, missiles, launchers and satellites • The control of their environment • The study of various systems they are involved in, as supports or as targets. Authors are invited to submit papers on new advances in the following topics to aerospace applications: • Fluid dynamics • Energetics and propulsion • Materials and structures • Flight mechanics • Navigation, guidance and control • Acoustics • Optics • Electromagnetism and radar • Signal and image processing • Information processing • Data fusion • Decision aid • Human behaviour • Robotics and intelligent systems • Complex system engineering. Etc.