High-order fault-tolerant satellite orbit determination method based on polynomial expansion technology

A technology of polynomial expansion and satellite orbit, which is applied in the field of high-order fault-tolerant satellite orbit determination, and can solve problems such as random measurement errors and inability to accurately estimate satellite status

Pending Publication Date: 2021-02-26
NORTHWESTERN POLYTECHNICAL UNIV
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Problems solved by technology

[0004] The purpose of the present invention is to overcome the shortcomings of the nonlinear high-order extended Kalman filter in the above-mentioned prior art that cannot accurately estimate the state of the satellite at a certain moment due to random measurement errors, and provide a high-order filter based on polynomial expansion technology. Fault Tolerant Satellite Orbit Determination Method

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  • High-order fault-tolerant satellite orbit determination method based on polynomial expansion technology
  • High-order fault-tolerant satellite orbit determination method based on polynomial expansion technology
  • High-order fault-tolerant satellite orbit determination method based on polynomial expansion technology

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Embodiment 1

[0064] This example discloses a high-order fault-tolerant satellite orbit determination method based on polynomial expansion technology. The specific implementation steps are as follows:

[0065] Step 1: Establish the dimensionless satellite orbit state equation as

[0066]

[0067] in respectively represent the dimensionless time, the dimensionless position vector and the angular velocity value of the satellite, t, r, ω represent the corresponding dimensioned values, Indicates the norm of the satellite's dimensionless position vector; in addition, the nominal angular velocity of the satellite Indicates the average orbital angular velocity of the satellite running on the orbit with the semi-major axis a=8788km, μ e is the gravitational constant of the earth.

[0068] Step 2: Establish nonlinear measurement equations, including radial distance, right ascension and declination,

[0069]

[0070] where u=[u 1 , u 2 , u 3 ] T Represents the measurement noise vecto...

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Abstract

The invention discloses a high-order fault-tolerant satellite orbit determination method based on a polynomial expansion technology, and relates to the field of satellite orbit determination. By dynamically adjusting the measurement error covariance matrix in the estimation process, it is ensured that the measurement error covariance matrix is matched with the actual measurement error, so that thefiltering consistency of the nonlinear high-order fault-tolerant extended Kalman filter and the robustness of error measurement are improved, and the satellite orbit determination precision is improved. According to the method, nonlinear characteristics of a kinetic equation and a measurement equation are comprehensively considered, in the filter prediction stage, a high-order Taylor polynomial is adopted to approach a high-precision prediction satellite state, and under the condition that the estimation precision requirement is guaranteed, the updating requirement of a filter for measurementinnovation and the requirement of the filter for the measurement frequency can be better reduced; and the design of the fault-tolerant strategy further ensures the robustness of the filter. The method can be universally used for orbit determination of satellites, space debris and the like, the measurement burden of measurement equipment can be relieved, and the robustness of wrong measurement iskept.

Description

technical field [0001] The invention belongs to the field of satellite orbit determination, and relates to a high-order fault-tolerant satellite orbit determination method based on polynomial expansion technology. Background technique [0002] In recent years, with the refinement of space activities, the accuracy of on-orbit satellite orbit determination is required to increase continuously, resulting in the traditional orbit determination method needing to calculate a large amount of measurement data, which intensifies the contradiction with the limited observation system on the ground. Compared with traditional filters such as Kalman filter, extended Kalman filter, tasteless Kalman filter and particle filter, the nonlinear high-order extended Kalman filter based on Taylor polynomial expansion technology balances the filtering accuracy and computational efficiency. At the same time, since the nonlinear high-order extended Kalman filter uses high-order Taylor polynomials to...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01S19/50G01C21/00
CPCG01C21/00G01S19/50
Inventor 孙冲陈建林袁源
Owner NORTHWESTERN POLYTECHNICAL UNIV
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