Five Order Consensus-based Distributed Spherical Simplex Radial Cubature Information Filter for Orbit Determination
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摘要: 为了提高多手持终端信息融合实时定轨的精度和系统容错性,该文提出一种基于五阶球面单纯形-径向容积准则的多终端一致分布式容积信息滤波(CD-SSRCIF)定轨算法。分别使用n维单纯形顶点和矩匹配法计算球面和径向积分,得到适用于系统状态维数n7时的五阶球面单纯形-径向容积准则。利用统计线性误差传播方法将此五阶容积准则嵌入扩展信息滤波器,将集中式变量展开得到多源集中式五阶容积信息滤波器。进而,利用平均一致性算法对集中式滤波中多源信息累加进行分布式等价表示,构成上下两层级联滤波器,下层滤波器执行平均一致性算法融合邻居节点的信息,输出虚拟量测值。上层滤波器利用该量测值执行五阶容积信息滤波,实时输出轨道状态估计值。仿真实验结果表明,五阶CD-SSRCIF算法无需信息融合中心,且具有比三阶算法更高的定轨精度。
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关键词:
- 手持终端 /
- 五阶球面单纯形-径向准则 /
- 分布式滤波 /
- 实时定轨
Abstract: A Consensus-based Distributed Spherical Simplex Radial Cubature Information Filter (CD-SSRCIF) is proposed to improve the real time orbit determination accuracy and fault tolerance of multiple handheld terminals. N-simplex vertices and the moment matching method are used respectively to calculate the spherical and radial integral, and a five order spherical simplex radial rule suitable for system state dimension n7 is obtained. Statistical linear error propagation method is used to embed the above rule into Extended Information Filter (EIF) to achieve centralized five order cubature information filter. Then, average consistency algorithm is used to obtain the distributed equivalent expression of multi-source information accumulation in centralized filter, and constitute cascade filter. The lower filter performs an average consistency algorithm to fuse information from neighbor nodes, and output virtual measurement value. The upper filter performs five order cubature information filter with the above measurement value to output orbit state estimation in real time. The simulation results show that the five order CD-SSRCIF algorithm does not need information fusion center, and has a higher orbit determination accuracy than the three order algorithm.
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