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A method for determining the diagnosability of satellite control system sensors based on analytical redundancy
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A technology of satellite control system and redundant relationship, which is applied in the field of aerospace, and can solve the problems of not disclosing methods with complete practical significance
Active Publication Date: 2017-01-25
BEIJING INST OF CONTROL ENG
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[0003] For the satellite control system sensor fault diagnosability determination method based on the analytical redundancy relationship proposed by the present invention, there is no disclosed method with complete practical significance
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specific Embodiment approach
[0074] The measurement model of similar sensors is:
[0075] Y=HX
[0076] in, is the sensor output, is an unknown quantity, Install matrix for homogeneous sensors, n y is the number of sensors, n x is the number of variables.
[0077] According to the sensor measurement model, the process of constructing the analytical redundancy relationship is as follows:
[0078] (1) Randomly select two rows from the matrix H to form a matrix Correspondingly extract relevant rows from Y to form a matrix Then judge the matrix one by one Whether the rank of is 1, arrange all the matrices with rank 1 to get H 2 , and get the corresponding Y 2 . in, Indicates the i-th matrix formed by randomly taking two rows from the matrix H Represents the jth matrix formed by randomly taking two rows from the matrix Y
[0079] (2) Similar to step (1), judge in turn to take three or four lines until n y Various situations of the row, respectively, get What needs to be emphasi...
Embodiment approach
[0108] When considering the satellite attitude changes in a small range, the attitude kinematics equation is
[0109]
[0110] Among them, ω x ,ω y ,ω z is the component of the satellite rotational angular velocity ω along the principal inertial axis, θ, ψ are Euler angles, ω 0 is the orbital angular velocity of the satellite rotating around the central gravitational body.
[0111] The hybrid model based on the gyroscope component and the component measurement model is:
[0112]
[0113] According to the generation method of analytical redundant relations, two analytical redundant relations can be obtained:
[0114] A R R 1 = θ h - 1 s g 2
[0115]
[0116] Construct the analytical redundancy relationship and sensor fault correlation matrix shown in Table 2, and according to the diagnosability criterion given in step (1), the diagnosabi...
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Abstract
The invention discloses an analytical redundancy relationship-based diagnosability determination method for satellitecontrol system sensors. The method comprises the following steps of 1, generating an analytical redundancy relationship set according to a measurement model of similar sensors, constructing an association matrix of analytical redundancy relationships and part failures, and finishing determining the diagnosability of the similar sensors according to a diagnosability criterion; 2, if an undetectable failure set or an inseparable failure set is not null, establishing a hybrid model of different sensors according to a kinematic model, finishing determining the diagnosability of the different sensors according to an analytical redundancy relationship generation method, a construction method for the association matrix and the diagnosability criterion in the first step, and updating diagnosability determination results; 3, obtaining the failure detectability and separability of failure modes and the detectability and separability of sensor failures based on the failure diagnosability determination results obtained in the second step by utilizing a diagnosability measurement index calculation method.
Description
technical field [0001] The invention relates to a method for determining the diagnosability of a sensor of a satellitecontrol system, in particular to a method for determining the diagnosability of a sensor of a satellitecontrol system based on an analytical redundancy relationship, which belongs to the field of aerospace. Background technique [0002] Satellite control system sensors mainly include angle measurement sensors (infrared earth sensors, star sensors, etc.) and angular velocity measurement sensors (such as gyroscopes), which play a vital role in attitude measurement and determination, and they are A component in a system with a high probability of failure. At present, in order to improve the fault response ability of the satellite control system, scholars at home and abroad pay more attention to the research of fault diagnosis methods, while ignoring one of the basic problems - the determination of fault diagnosability, which is the optimal design of measuring ...
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