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Journal of Systems Science and Complexity

, Volume 31, Issue 5, pp 1206–1226 | Cite as

Observability Analysis and Navigation Algorithm for Distributed Satellites System Using Relative Range Measurements

  • Qiya Su
  • Yi Huang
Article
  • 51 Downloads

Abstract

The problem of navigation for the distributed satellites system using relative range measurements is investigated. Firstly, observability for every participating satellites is analyzed based on the nonlinear Keplerian model containing J2 perturbation and the nonlinear measurements. It is proven that the minimum number of tracking satellites to assure the observability of the distributed satellites system is three. Additionally, the analysis shows that the J2 perturbation and the nonlinearity make little contribution to improve the observability for the navigation. Then, a quasi-consistent extended Kalman filter based navigation algorithm is proposed, which is quasi-consistent and can provide an online evaluation of the navigation precision. The simulation illustrates the feasibility and effectiveness of the proposed navigation algorithm for the distributed satellites system.

Keywords

Distributed satellites system (DSS) navigation observability quasi-consistent extended Kalman filter (QCEKF) relative range 

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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Beijing Institute of Remote Sensing EquipmentBeijingChina
  2. 2.Key Laboratory of Systems and Control, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina
  3. 3.School of Mathematical SciencesUniversity of Chinese Academy of SciencesBeijingChina

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