基于五階球面單純形-徑向容積準(zhǔn)則的多終端一致分布式濾波定軌算法
doi: 10.11999/JEIT160431
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1.
(裝備學(xué)院研究生院 北京 101416) ②(裝備學(xué)院光電裝備系 北京 101416) ③(西安衛(wèi)星測控中心 西安 710043)
基金項目:
國家高技術(shù)研究發(fā)展計劃(2015AA7026085)
Five Order Consensus-based Distributed Spherical Simplex Radial Cubature Information Filter for Orbit Determination
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1.
(Company of Postgraduate Management, Academy of Equipment, Beijing 101416, China)
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2.
(Department of Optical and Electrical Equipment, Academy of Equipment, Beijing 101416, China)
Funds:
The National High Technology Research and Development Program of China (2015AA7026085)
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摘要: 為了提高多手持終端信息融合實時定軌的精度和系統(tǒng)容錯性，該文提出一種基于五階球面單純形-徑向容積準(zhǔn)則的多終端一致分布式容積信息濾波(CD-SSRCIF)定軌算法。分別使用n維單純形頂點和矩匹配法計算球面和徑向積分，得到適用于系統(tǒng)狀態(tài)維數(shù)n7時的五階球面單純形-徑向容積準(zhǔn)則。利用統(tǒng)計線性誤差傳播方法將此五階容積準(zhǔn)則嵌入擴(kuò)展信息濾波器，將集中式變量展開得到多源集中式五階容積信息濾波器。進(jìn)而，利用平均一致性算法對集中式濾波中多源信息累加進(jìn)行分布式等價表示，構(gòu)成上下兩層級聯(lián)濾波器，下層濾波器執(zhí)行平均一致性算法融合鄰居節(jié)點的信息，輸出虛擬量測值。上層濾波器利用該量測值執(zhí)行五階容積信息濾波，實時輸出軌道狀態(tài)估計值。仿真實驗結(jié)果表明，五階CD-SSRCIF算法無需信息融合中心，且具有比三階算法更高的定軌精度。
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關(guān)鍵詞:
- 手持終端 /
- 五階球面單純形-徑向準(zhǔn)則 /
- 分布式濾波 /
- 實時定軌
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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