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SCIENCE CHINA Information Sciences, Volume 64, Issue 1: 119201(2021) https://doi.org/10.1007/s11432-018-9725-1

A local observability analysis method for a time-varying nonlinear system and its application in the continuous self-calibration system

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  • ReceivedJul 22, 2018
  • AcceptedDec 12, 2018
  • PublishedMar 11, 2020

Abstract

There is no abstract available for this article.


Acknowledgment

The work was supported by National Natural Science Foundation of China (Grant No. 61503392), Natural Science Foundation of Shaanxi Province (Grant No. 2015JQ6213), Aeronautical Science Foundation of China (Grant No. 201501U8001), and Aerospace Innovation Foundation of China (Grant No. 2015CASC187).


Supplement

Appendix A.


References

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[5] Andrew D J. Continuous calibration and alignment techniques for an all-attitude inertial platform. In: Proceedings of AIAA Guidance and Control Conference, Key Biscayne, 1973. 20--22. Google Scholar

  • Table 1   Simulation results
    Error coefficientsRelative observable degreesConvergence time (s)Relative error (%)
    Scheme 10.6252$-$0.0050
    ${k_g}_{13y}$Scheme 20.47500.0042
    Scheme 31.4436$-$0.0021
    Scheme 10.0016480$-$8.88
    ${\Delta~_{sx}}$Scheme 20.51320$-$3.96
    Scheme 30.31280$-$6.03
    Scheme 1$2.2~\times~{10^{~-~6}}$500$-$11.21
    ${k_a}_{0z}$Scheme 20.000552702.94
    Scheme 30.0014200$-$1.58
    ${k_g}_{11x}$89.61960.0040
    Scheme 2${k_g}_{11y}$71.731200.0016
    ${k_g}_{11z}$96.04500.0009
    ${\Delta~_{sx}}$0.31270$-$0.94
    Scheme 3${\Delta~_{sy}}$0.581800.11
    ${\Delta~_{sz}}$0.422800.16

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