CN-121980527-A - Satellite operation capability guarantee index reduction method based on gray correlation analysis

CN121980527ACN 121980527 ACN121980527 ACN 121980527ACN-121980527-A

Abstract

The invention discloses a satellite operation capability guarantee index reduction method based on gray correlation analysis, which comprises the steps of firstly establishing a decision data table, determining gray correlation degree between each condition index and the decision index, taking the gray correlation degree as importance of the condition index relative to the decision index, calculating influence degree of one condition index on the other condition index, secondly judging overlap degree of two condition indexes for any two index conditions, and finally carrying out de-overlapping reduction treatment on the condition indexes according to the overlap degree of any two condition indexes. The method solves the technical problems of multi-dimensional index coupling interference, limited evaluation data sample size, atypical parameter distribution and the like existing in a satellite operation capacity guarantee index system.

Inventors

ZHANG TAO
Ruan Ningye
KONG XIANGHAO
Jia Hanwu
XU XINRUI
LI TING
LI XIAOJUAN
LIU TINGHAO
JIANG YU
LIU BIN

Assignees

中国空间技术研究院

Dates

Publication Date: 20260505
Application Date: 20251212

Claims (10)

1. A method for reducing a satellite operation capability guarantee index based on gray correlation analysis, comprising: Establishing a decision data table which contains condition indexes and decision index sample data of satellite operation capability guarantee; Carrying out normalization processing on the condition index sample data and the decision index sample data in the decision data table; Calculating association coefficients between each condition index and the decision index in different samples, and determining the gray association degree between each condition index and the decision index and taking the gray association degree as the importance degree of the condition index relative to the decision index; calculating influence coefficients between any two condition indexes in different samples to obtain the influence degree of one condition index on the other condition index; For any two index conditions, determining the overlapping degree of the two index conditions according to the importance degree of each obtained index condition relative to the decision index and the influence degree of the two index conditions; and performing de-overlapping reduction processing on the condition indexes according to the overlapping degree of any two condition indexes.
2. The method for reducing satellite operation capability guarantee index based on gray correlation analysis according to claim 1, wherein the decision data table uses four tuples The representation of the composition, wherein, Is a non-empty finite set of decision objects, which refers to the guarantee of satellite operation capability; is an index set, and the index set is a set of indexes, , Refers to the evaluation of the corresponding condition index, Is a decision index; a value range set which is an index; Representation of And (3) a map that illustrates the values obtained by the satellite under the current index conditions.
3. The method for reducing the satellite operation capability guarantee index based on gray correlation analysis according to claim 1, wherein the normalization processing is performed on the condition index sample data and the decision index sample data in the decision data table, specifically: normalization processing is carried out on the income type data: normalizing the cost type data: In the formula, To normalize the index value, max (a i (j)) is the maximum value inside the index value, a i (j) is the value inside the dataset, and min (a i (j)) is the minimum value inside the index value.
4. The method for reducing satellite operation ability assurance indicator based on gray correlation analysis according to claim 1, wherein the method comprises the steps of Medium condition index And decision index Correlation coefficient between : In the formula, For the minimum value of the difference between the decision index value and the conditional index value at the same sample, Is the maximum of the difference; Is the first Sample number The value of the individual condition index is, For the decision index value, , ; Is the resolution factor.
5. The method for reducing satellite operation capability assurance indicator based on gray correlation analysis of claim 1, wherein the condition indicator is calculated And decision index Gray correlation of (2) : In the formula, Is the first The conditional index value is at the first Normalized equal weight vectors in the individual samples, 。
6. The method for reducing the satellite operation capability assurance indicator based on gray correlation analysis according to claim 1, wherein the influence coefficient between any two condition indicators in different samples is calculated: In the formula, To at the first Condition index in sample For condition index Is a coefficient of influence of (a); Is a condition index Index of condition The minimum of the difference at the same sample, Is the maximum of the difference; , ; is the resolution factor.
7. The method for reducing the satellite operation capability guarantee index based on gray correlation analysis according to claim 6, wherein the method for calculating the influence degree of one condition index on the other condition index is as follows: In the formula, Representative condition index For condition index The extent of influence of (1) When it is, then represent And (3) with Irrelevant, condition index For condition index Has no influence when When the condition index is expressed For condition index Has a full degree of influence when When the condition index is expressed For condition index Has an effect but cannot completely affect the condition index 。
8. The method for ensuring the satellite operation capability and index reduction based on gray correlation analysis according to claim 1, wherein for any two index conditions, the overlapping degree of the two condition indexes is determined according to the importance degree of each obtained condition index relative to the decision index and the influence degree of the two condition indexes, specifically: If the importance of the two condition indexes relative to the decision index is the same and the influence degree between the two condition indexes is 1, the two condition indexes are determined to be completely overlapped; If the influence degree between the two condition indexes is 0, the two condition indexes are determined to be completely non-overlapped; If the influence degree between the two condition indexes is more than 0 and less than 1, the two condition indexes are determined to have the overlapping or not to reach the complete overlapping.
9. The method for reducing the satellite operation capability assurance indicator based on gray correlation analysis according to claim 1, wherein if there is an overlap between two condition indicators and a complete overlap is not achieved, the degree of overlap between the two condition indicators is: In the formula, Is a condition index For condition index Is used for controlling the degree of influence of (a), Is a condition index For condition index Is a degree of influence of (a); Is a condition index Relative decision index Is of importance in terms of (a) the importance of (c), Is a condition index Relative decision index Is of importance of (2); Is a condition index For condition index Is a degree of overlap of (2).
10. The method for reducing the satellite operation capability guarantee index based on gray correlation analysis according to claim 9, wherein if one condition index and a plurality of condition indexes have an overlapping relationship, the absolute importance of the index after the condition index is de-overlapped is: In the formula, Is a condition index For decision index Is used for determining the absolute importance of the index of (c), For all and condition indexes The number of conditional indicators in which there is an overlapping relationship.

Description

Satellite operation capability guarantee index reduction method based on gray correlation analysis Technical Field The invention relates to a satellite operation capability guarantee index reduction method based on gray correlation analysis, and belongs to the technical field of aerospace system engineering evaluation. Background Satellites face various challenges in complex space environments, such as space debris impact, thermal control failure, and the like. In the satellite in-orbit operation guarantee scene, the comprehensive assessment of the capability state is a key for ensuring continuous propulsion of tasks such as communication, remote sensing, navigation and the like. However, the scene faces a plurality of complex challenges (such as space debris impact, thermal control failure and the like), satellite indexes are wide in sources and heterogeneous in types, the problems of coupling interference are prominent due to the fact that quantitative and qualitative data, multiple dimensions and redundant or conflicting association relations are covered, meanwhile, the number of times of newly-researched satellite tests is small, extreme working condition data are scarce, part of indexes need to be accumulated for a long time and the like, so that the sample size of evaluation data is severely limited, and in addition, parameter distribution often presents atypical characteristics and does not accord with typical distribution assumptions of traditional statistics. Therefore, in the task execution process, the satellite platform accurately quantifies the effectiveness of the multidimensional operation guarantee measures, identifies key guarantee parameters, eliminates the core problems of redundant information in an evaluation index system and the like. The traditional evaluation method has obvious limitation in coping with the problems, the single-dimension method cannot integrate multi-source information, the statistical learning method is limited by sample size and data distribution, and the expert scoring rule is easily influenced by subjective deviation. The evaluation system constructed based on the gray correlation analysis theory can pertinently solve the technical problems by virtue of the advantages of quantitative index correlation in a lean information and uncertain system without depending on large samples and typical distribution assumptions, and provides effective support for accurate and reliable evaluation of the satellite on-orbit capability, thereby guaranteeing the continuity of tasks. Disclosure of Invention The technical problems of multi-dimensional index coupling interference, limited evaluation data sample size, atypical parameter distribution and the like in a satellite operation capacity guarantee index system are solved by overcoming the defects of the prior art and providing a method for reducing the satellite operation capacity guarantee index based on gray correlation analysis. The technical scheme of the invention is as follows: a method for reducing a satellite operation capability guarantee index based on gray correlation analysis, comprising: Establishing a decision data table which contains condition indexes and decision index sample data of satellite operation capability guarantee; Carrying out normalization processing on the condition index sample data and the decision index sample data in the decision data table; Calculating association coefficients between each condition index and the decision index in different samples, and determining the gray association degree between each condition index and the decision index and taking the gray association degree as the importance degree of the condition index relative to the decision index; calculating influence coefficients between any two condition indexes in different samples to obtain the influence degree of one condition index on the other condition index; For any two index conditions, determining the overlapping degree of the two index conditions according to the importance degree of each obtained index condition relative to the decision index and the influence degree of the two index conditions; and performing de-overlapping reduction processing on the condition indexes according to the overlapping degree of any two condition indexes. Further, the four-element group for the decision data tableThe representation of the composition, wherein,Is a non-empty finite set of decision objects, which refers to the guarantee of satellite operation capability; is an index set, and the index set is a set of indexes, ,Refers to the evaluation of the corresponding condition index,Is a decision index; a value range set which is an index; Representation of And (3) a map that illustrates the values obtained by the satellite under the current index conditions. Further, the normalization processing is carried out on the condition index sample data and the decision index sample data in the decision data table, specifically: normalizatio