Fractional-order observability analysis method for pulsar navigation system

A pulsar navigation and analysis method technology, applied in the field of fractional-order observability analysis for pulsar navigation systems, can solve problems such as inability to give, different analysis results, etc., to achieve convenient implementation, saving system resources, and small calculation amount Effect

Inactive Publication Date: 2016-11-09
WUHAN UNIV OF SCI & TECH
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Therefore, for different orbitals, neither the traditional condition nu

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  • Fractional-order observability analysis method for pulsar navigation system
  • Fractional-order observability analysis method for pulsar navigation system
  • Fractional-order observability analysis method for pulsar navigation system

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Embodiment Construction

[0047] The technical scheme of the invention can adopt computer software to support the automatic operation process. The technical solution of the present invention will be described in detail below in conjunction with the drawings and embodiments.

[0048] Firstly, the present invention constructs a fractional order measurement matrix, so that historical measurement information can be fully utilized. Then, combined with the state transition matrix, the fractional observability matrix is ​​constructed. Finally, an exponential weighted condition number is proposed, which synthesizes the condition number that changes in a period into a value, and uses this value to evaluate the accuracy of the navigation system.

[0049] The embodiment of the present invention uses a Mars probe, and the navigation pulsars are PSR B0531+21, B1821-24, and B1937+21. The orbits of the Martian satellites involved are shown in Table 1.

[0050] Table 1 Initial orbit parameters of Venus Express

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Abstract

The invention provides a fractional-order observability analysis method for a pulsar navigation system. The method comprises a preparation stage and a system observability analysis stage; the preparation stage comprises establishing a spacecraft orbit kinetic model and a pulsar navigation model which are demanded by navigation filtering; and the system observability analysis stage comprises working out the fractional differential of time by a measurement module, obtaining a measurement matrix of fractional order, constructing an observability analysis matrix, rearranging the condition number, calculating the condition number of exponential weighting, so as to obtain the observability analysis result. The observability analysis result obtained according to the technical scheme of the invention is relatively accurate, past measurement information is fully utilized, influence of orbit elements on navigation precision can be embodied, calculation is simple and the method is convenient to achieve, system resource is saved and analysis results can be efficiently obtained.

Description

technical field [0001] The invention belongs to the field of spacecraft autonomous navigation, in particular to a fractional-order observability analysis method for pulsar navigation systems. Background technique [0002] In the field of spacecraft autonomous navigation, system observability analysis is crucial. Observability analysis results can reflect spacecraft navigation performance. This is reflected in the following aspects: (1) If the observability matrix is ​​full rank, the autonomous navigation system can work normally; otherwise, the system cannot work normally. (2) The condition number of the observability matrix can reflect the quality of the system, that is, the performance of the navigation system is poor when the condition number is large, otherwise the performance is good. [0003] The observability analysis method can be divided into two steps: the construction of the observability matrix, and the calculation of the condition number. Scholars have propos...

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Application Information

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IPC IPC(8): G01C21/02G01C21/24
CPCG01C21/025G01C21/24
Inventor 刘劲吴谨李娟邓慧萍王文武朱磊
Owner WUHAN UNIV OF SCI & TECH
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