Method and apparatus for selecting condition indicators in determining the health of a component
First Claim
1. A method for ranking condition indicators used in determining a health indicator for a component comprising:
- receiving a first set of a plurality of said condition indicators and a whitening transformation matrix that whitens a covariance matrix of said first set of said plurality of condition indicators;
determining differences between expected values for a plurality of health classes used for a between health class scatter matrix;
determining a whitened transformation of said between health class scatter matrix using said whitening transformation matrix; and
selecting a portion of said plurality of condition indicators in accordance with those condition indicators which have a largest corresponding value in said whitened transformation of said between health class scatter matrix.
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Abstract
Disclosed are techniques used in connection with determining a health indicator (HI) of a component, such as that of an aircraft component. The HI is determined using condition indicators (CIs) which parameterize characteristics about a component minimizing possibility of a false alarm. Different algorithms are disclosed which may be used in determining one or more CIs. The HI may be determined using a normalized CI value. Techniques are also described in connection with selecting particular CIs that provide for maximizing separation between HI classifications. Given a particular HI at a point in time for a component, techniques are described for predicting a future state or health of the component using the Kalman filter. Techniques are described for estimating data values as an alternative to performing data acquisitions, as may be used when there is no pre-existing data.
50 Citations
42 Claims
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1. A method for ranking condition indicators used in determining a health indicator for a component comprising:
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receiving a first set of a plurality of said condition indicators and a whitening transformation matrix that whitens a covariance matrix of said first set of said plurality of condition indicators;
determining differences between expected values for a plurality of health classes used for a between health class scatter matrix;
determining a whitened transformation of said between health class scatter matrix using said whitening transformation matrix; and
selecting a portion of said plurality of condition indicators in accordance with those condition indicators which have a largest corresponding value in said whitened transformation of said between health class scatter matrix. - View Dependent Claims (2, 3, 31, 32, 33, 34, 35, 36)
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4. A method for ranking condition indicators used in determining a health indicator for a component comprising:
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determining a first set of a plurality of said condition indicators;
determining a covariance matrix corresponding to said plurality of condition indicators;
determining a whitening transformation matrix that whitens the covariance matrix;
using said whitening transformation matrix to determine differences between said first plurality of condition indicators and expected values for said condition indicators belonging to a health class, each health class having a corresponding health indicator;
selecting a portion of said plurality of condition indicators in accordance with those condition indicators which have the smallest of said differences; and
determining a measure of between class scatter, Sb, represented as;
where M0 is an expected value of all L classes, Mi represents an expected value of a particular class, and Pi is the probability of a class i. - View Dependent Claims (5, 6, 13, 14)
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7. A computer program product for ranking condition indicators used in determining a health indicator for a component comprising machine executable code for:
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receiving a first set of a plurality of said condition indicators and a whitening transformation matrix that whitens a covariance matrix of said first set of said plurality of condition indicators;
determining differences between expected values for a plurality of health classes for use in a between health class scatter matrix;
determining a whitened transformation of said between health class scatter matrix using said whitening transformation matrix; and
selecting a portion of said plurality of condition indicators in accordance with those condition indicators which have a largest corresponding value in said whitened transformation of said between health class scatter matrix. - View Dependent Claims (8, 9, 37, 38, 39, 40, 41, 42)
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10. A computer program product for ranking condition indicators used in determining a health indicator for a component comprising machine executable code for:
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determining a first set of a plurality of said condition indicators;
determining a covariance matrix corresponding to said plurality of condition indicators;
determining a whitening transformation matrix that whitens the covariance matrix;
using said whitening transformation matrix to determine differences between said first plurality of condition indicators and expected values for said condition indicators belonging to a health class, each health class having a corresponding health indicator;
selecting a portion of said plurality of condition indicators in accordance with those condition indicators which have the smallest of said differences; and
determining a measure of between class scatter, Sb, represented as;
where M0 is an expected value of all L classes, Mi represents an expected value of a particular class, and Pi is the probability of a class i. - View Dependent Claims (11, 12, 24, 25)
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15. A method for selecting one or more condition indicators used in determining a health indicator corresponding to a health class for a component comprising:
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determining a first set of one or more condition indicators;
determining a covariance matrix for said first set of condition indicators;
determining a whitening transformation matrix that whitens the covariance matrix;
using said whitening transformation matrix that whitens the covariance matrix to normalize differences between mean values of different health classes producing a whitened between class scatter matrix; and
selecting a portion of said first set of condition indicators in accordance with corresponding diagonals of said whitened between class scatter matrix. - View Dependent Claims (16, 17, 18, 19)
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20. A method for ranking condition indicators used in determining a health indicator for a component comprising:
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determining a first set of a plurality of said condition indicators;
determining a covariance matrix for said plurality of condition indicators;
determining a whitening transformation matrix that whitens the covariance matrix;
using said whitening transformation matrix to determine differences between said first plurality of condition indicators and expected values for said condition indicators belonging to a health class, each health class having a corresponding health indicator; and
selecting a portion of said plurality of condition indicators in accordance with those condition indicators which have the smallest of said differences, wherein said whitening transformation matrix is represented as;
Λ
−
1/2Φ
T with a corresponding eigenvalue matrix Λ and
a corresponding eigenvector matrix Φ
for a matrix of said first set of a plurality of condition indicators. - View Dependent Claims (21)
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22. A computer program product for ranking condition indicators used in determining a health indicator for a component comprising machine executable code for:
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determining a first set of a plurality of said condition indicators;
determining a covariance matrix corresponding to said plurality of condition indicators;
determining a whitening transformation matrix that whitens the covariance matrix;
using said whitening transformation matrix to determine differences between said first plurality of condition indicators and expected values for said condition indicators belonging to a health class, each health class having a corresponding health indicator; and
selecting a portion of said plurality of condition indicators in accordance with those condition indicators which have the smallest of said differences wherein said whitening transformation matrix is represented as;
Λ
−
1/2Φ
T with a corresponding eigenvalue matrix Λ and
a corresponding eigenvector matrix Φ
for a matrix of said first set of a plurality of condition indicators. - View Dependent Claims (23)
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26. A computer program product for selecting one or more condition indicators used in determining a health indicator corresponding to a health class for a component comprising machine executable code for:
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determining a first set of one or more condition indicators;
determining a covariance matrix for said first set of condition indicators;
determining a whitening transformation matrix that whitens the covariance matrix;
using said whitening transformation matrix that whitens the covariance matrix to normalize differences between mean values of different health classes producing a whitened between class scatter matrix; and
selecting a portion of said first set of condition indicators in accordance with corresponding diagonals of said whitened between class scatter matrix. - View Dependent Claims (27, 28, 29, 30)
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Specification