CN102175266A - Fault diagnosis method for mobile gyroscope inertia subassembly - Google Patents

Fault diagnosis method for mobile gyroscope inertia subassembly Download PDF

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CN102175266A
CN102175266A CN 201110040473 CN201110040473A CN102175266A CN 102175266 A CN102175266 A CN 102175266A CN 201110040473 CN201110040473 CN 201110040473 CN 201110040473 A CN201110040473 A CN 201110040473A CN 102175266 A CN102175266 A CN 102175266A
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gyro
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CN102175266B (en
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沈毅
王振华
王强
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Harbin Institute of Technology
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Abstract

The invention discloses a fault diagnosis method for a mobile gyroscope inertia subassembly, and specifically relates to a health monitoring technology of the mobile gyroscope inertia subassembly based on equivalence relation and empirical mode decomposition. The fault diagnosis method is used for solving the problem that a conventional equivalence relation method generally only has the ability of separating single sensor faults and a health monitoring method based on signal processing has large amount of calculations. The method provided by the invention comprises the following steps of: step 1, detecting whether the gyroscope inertia subassembly has fault through the equivalence relation method; step 2, when fault is detected, acquiring N data points of an output signal of each gyroscope sensor in the gyroscope inertia subassembly as a fault data input signal of the gyroscope inertia subassembly, performing empirical mode decomposition on the fault data input signal to obtain a first-order IMF component, and taking the first-order IMF component as a fault characteristic signal of the gyroscope inertia subassembly; step 3, processing the first-order IMF component with summation CUSUM of statistical test to judge whether the gyroscope sensor has fault and finish the health monitoring on the gyroscope inertia subassembly.

Description

Fault diagnosis method for moving body gyroscope inertia assembly
Technical Field
The invention relates to a fault diagnosis method for a moving body gyroscope inertia assembly, in particular to a health monitoring technology for the moving body gyroscope inertia assembly based on equivalence relation and empirical mode decomposition.
Background
The inertial gyro component is composed of a plurality of gyro sensors, the number of the gyro sensors is generally 2-4 according to different tasks, the gyro sensors are used for measuring the angular velocity of a moving body, particularly a space vehicle and an ocean aircraft relative to an inertial reference system, the gyro sensors are important components for measuring the attitude of the moving body, and the working performance and the health state of the gyro sensors directly influence the attitude measurement of the whole moving body, and the attitude control precision and the reliability of the moving body.
Because the gyro sensor belongs to a high-precision and relatively vulnerable part, the gyro sensor is easy to have health problems of failure, performance reduction and the like after being subjected to complex environment and violent movement of a moving body. At present, when the health condition of an inertial gyro component is monitored, in view of the fact that the traditional equivalence relation method generally only has the capability of separating single sensor faults, two approaches are generally adopted: the method is characterized in that internal test equipment is used for monitoring certain state quantities such as temperature, current, voltage and the like in the gyroscope in real time, and whether the gyroscope has faults or not is judged according to the parameters. On the other hand, the method is only effective under the condition that the attitude sensor system forms the redundancy relation; on the other hand, the working condition of the redundant sensor needs to be considered.
In recent years, modern signal processing methods are increasingly used for extracting sensor health condition characteristic information. For example, if researchers apply wavelet transformation to fault diagnosis and classification of gyro sensors, good effects are obtained. The sensor health monitoring based on the signal processing method has the advantages that health characteristic information can be directly extracted from sensor output, and the limitation of redundancy relation can be overcome. And, in the case of a plurality of sensors simultaneously failing, the detection and isolation of the failure can still be achieved. On the other hand, compared with the method based on hardware redundancy or analytic redundancy, the health monitoring method based on signal processing often requires more operations and processing, and the calculation amount is relatively large.
Disclosure of Invention
The invention aims to solve the problem that the traditional equivalence relation method only has the capacity of separating single sensor faults generally and the calculation amount of a health monitoring method based on signal processing is relatively large, and provides a fault diagnosis method for a moving body gyro inertia assembly.
The invention discloses a fault diagnosis method of a moving body gyro inertia assembly, which comprises the following steps:
the method comprises the following steps that firstly, hardware redundancy of a moving body inertial gyro component is utilized, and whether the inertial gyro component breaks down or not is detected through an equivalence relation method;
the process for detecting whether the inertial gyro component has a fault is as follows:
step 11, constructing an equivalence relation by utilizing hardware redundancy configuration of the moving body inertial gyro component, and calculating an equivalence vector of the equivalence relation;
step 12, judging whether the norm of the equivalent vector is smaller than a fault detection threshold value,
if the judgment result is yes, the inertial gyro component is considered to be not in fault; and if the judgment result is negative, the inertial gyro component is considered to be in fault.
Secondly, when the inertial gyro component is detected to be in fault, collecting N data points of output signals of each gyro sensor in the inertial gyro component as fault data input signals of the gyro sensor, carrying out empirical mode decomposition on the fault data input signals, and taking an obtained first-order IM F component as a fault characteristic signal of the gyro sensor;
the process of obtaining the first order IMF component is:
setting a fault data input signal as x (t), t 1, 2, N,
step 21, initializing an IMF decomposition process: n is 1 and satisfies the relation rn-1(t) x (t) holds, where rn-1(t) is a trend function after the (n-1) th decomposition;
step 22, initializing the screening process, wherein k is 1 and satisfies the relation hn(k-1)(t)=rn-1(t) is true, wherein hn(k-1) (t) is a residual function after the (k-1) th screening in the nth empirical mode decomposition;
step 23, obtaining the residual function h after the k-th screening according to the screening programnk(t);
Obtaining a residual function hnkThe process of (t) is:
231, obtaining a residual function h of the fault data input signal x (t) after k-1 times of screening in nth empirical mode decomposition by utilizing a cubic spline functionn(k-1) (t),
step 232, calculating the residual function hn(k-1) (t) mean value of upper and lower envelope curves at each t
Figure BDA0000047175070000021
Step 233, obtaining the residual function of the fault data input signal x (t) after the k-time screening in the n-time empirical mode decomposition <math><mrow><msub><mi>h</mi><mi>nk</mi></msub><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>=</mo><msub><mi>h</mi><mrow><mi>n</mi><mrow><mo>(</mo><mi>k</mi><mo>-</mo><mn>1</mn><mo>)</mo></mrow></mrow></msub><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>-</mo><msub><mover><mi>m</mi><mo>&OverBar;</mo></mover><mrow><mi>n</mi><mrow><mo>(</mo><mi>k</mi><mo>-</mo><mn>1</mn><mo>)</mo></mrow></mrow></msub><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>.</mo></mrow></math>
Step 24, judging the residual function h obtained in the step 23 by adopting a standard deviation criterionnk(t) whether the condition of the intrinsic mode function IMF is satisfied, i.e.Whether or not it is less than threshold HSD,0.2≤HSD≤0.3;
If yes, step 25 is executed, if no, k is k +1, and then step 23 is executed,
step 25, extracting a first-order IMF component: c. C1(t)=h1k(t)。
And step three, performing cumulative summation CUSUM processing of statistical test on the first-order IM F component obtained by each gyro sensor in the step two to judge whether the gyro sensor has a fault, and further separating the gyro sensor with the fault from the inertial gyro component to complete the health monitoring of the inertial gyro component.
Step 31, obtaining a CUSUM calculation result W of a single data point in the first-order IMF component according to the following formulai
Wi=Wi-1+|Xi|,
Wherein i is 1, 2, … N, Wi-1Calculate the result for CUSUM for the i-1 th data point, and let W0=0,XiThe first order IMF value at the ith data point,
step 32, judging the CUSUM calculation result W of the Nth data pointNWhether or not it is greater than a diagnostic threshold epsilonI
If yes, the gyro sensor has a fault, and if not, the gyro sensor does not have a fault.
The invention has the advantages that:
1) the health monitoring method provided by the invention monitors the fault of the moving body inertial gyroscope component by an equivalence relation method, and simultaneously separates the fault gyroscope by using an empirical mode decomposition method, so that the calculated amount can be effectively reduced compared with a fault diagnosis method which only adopts signal processing.
2) The health monitoring method provided by the invention not only utilizes the hardware redundancy of the gyro component, but also effectively utilizes the self output information of the gyro sensor, thereby enhancing the fault diagnosis capability of the algorithm.
3) The health monitoring method provided by the invention is only used for fault diagnosis on the basis of the output signal of the gyro component, and does not need to utilize the information of other sensors, thereby avoiding introducing other potential fault sources and being beneficial to improving the effectiveness of the fault diagnosis method.
4) The health monitoring method provided by the invention is not limited to single-point fault assumption, can conveniently realize multi-fault diagnosis, and breaks through the limitation that other methods can only carry out single-point fault diagnosis generally.
Drawings
FIG. 1 is a flow chart of a method for diagnosing a fault of a gyro inertial component of a moving body based on equivalence relation and empirical mode decomposition;
FIG. 2 is a flow chart of empirical mode decomposition;
FIG. 3 is a schematic view of an experimental verification apparatus;
FIG. 4 is an equivalent vector when a constant drift increase fault occurs;
FIG. 5 is a first order IMF signal when a constant drift increase fault occurs;
FIG. 6 is an equivalent vector when a noise level increase fault occurs;
FIG. 7 is a first order IMF signal when a noise level increase fault occurs;
FIG. 8 is an equivalent vector when the X-axis gyro and the S-axis gyro simultaneously have sudden change failures;
fig. 9 is a first-order IMF signal when the X-axis gyro and the S-axis gyro simultaneously have sudden change failures.
Detailed Description
The first embodiment is as follows: the present embodiment will be described below with reference to fig. 1 and 2.
In order to effectively utilize a signal processing method to monitor the health of the sensor and reduce the calculation amount of the algorithm to a certain extent, the patent provides a sensor health monitoring method based on equivalence relation and Empirical Mode Decomposition (EMD), which is used for monitoring the health of an inertial gyro component.
The empirical Mode decomposition method was proposed by tsuba of National Aeronautics and astronautics Administration (NASA) in 1998, which uses the variation of the internal time scale of the signal to perform energy and frequency analysis and develop the signal into a finite number of internal solid Mode functions (IMFs). Unlike the conventional method using a fixed morphology window as the bounding basis function, the basis function of the EMD is extracted from the signal, i.e., IMF is used as the basis. Whereas IMF must satisfy the following conditions:
1) in the whole function, the number of the extreme points is equal to or different from the number of the zero crossing points by 1;
2) at any instant, the envelope defined by the local extremum envelope has a local mean of zero. Wherein the first condition is similar to the narrow bandwidth requirement in the conventional gaussian smoothing process. The second condition is a new idea: the global requirement is changed to a local requirement so that the instantaneous frequency does not cause unnecessary jitter due to the presence of an asymmetric waveform. The EMD constructed by the two conditions is considered to be an adaptive method for solving nonlinear and non-stationary signals powerfully, is a great breakthrough to traditional signal analysis methods such as Fourier transform and the like in recent years, and is widely applied.
Considering that the change of the characteristics of the gyro output signal caused by the fault of the gyro sensor, the method decomposes the gyro output signal into signal superposition of IMF components from high frequency to low frequency by an EMD method, and provides a reasonable approach for the characteristic quantity selection in the health monitoring process.
The method for diagnosing the fault of the gyro inertia assembly of the moving body in the embodiment comprises the following steps of:
the method comprises the following steps that firstly, hardware redundancy of a moving body inertial gyro component is utilized, and whether the inertial gyro component breaks down or not is detected through an equivalence relation method;
secondly, when the inertial gyro component is detected to be in fault, collecting N data points of output signals of each gyro sensor in the inertial gyro component as fault data input signals of the gyro sensor, carrying out empirical mode decomposition on the fault data input signals, and taking an obtained first-order IM F component as a fault characteristic signal of the gyro sensor;
and step three, performing cumulative summation CUSUM processing of statistical test on the first-order IM F component obtained by each gyro sensor in the step two to judge whether the gyro sensor has a fault, and further separating the gyro sensor with the fault from the inertial gyro component to complete the health monitoring of the inertial gyro component.
The process of detecting whether the inertial gyro component fails through an equivalence relation method in the first step is as follows:
step 11, constructing an equivalence relation by utilizing hardware redundancy configuration of the moving body inertial gyro component, and calculating an equivalence vector of the equivalence relation;
step 12, judging whether the norm of the equivalent vector is smaller than a fault detection threshold value,
if the judgment result is yes, the inertial gyro component is considered to be not in fault; and if the judgment result is negative, the inertial gyro component is considered to be in fault.
Fault detection threshold epsilon D8 sigma to 12 sigma, wherein sigma is the standard deviation of gyro noise. Theoretically,. epsilonDThe detection accuracy probability when taking 4 σ is already very close to 1, but to reduce the false alarm rate, the fault detection threshold is increased to 8 σ to 12 σ.
The process of obtaining the first-order IM F component in the second step is as follows:
setting a fault data input signal as x (t), t 1, 2, N,
step 21, initializing an IMF decomposition process: n is 1 and satisfies the relation rn-1(t) x (t) holds, where rn-1(t) is a trend function after the (n-1) th decomposition;
step 22, initializing the screening process, wherein k is 1 and satisfies the relation hn(k-1)(t)=rn-1(t) is true, wherein hn(k-1)(t) is a residual function after (k-1) screening in the nth empirical mode decomposition;
step 23, obtaining the residual function h after the k-th screening according to the screening programnk(t);
Step 24, judging the residual function h obtained in the step 23 by adopting a standard deviation criterionnk(t) whether the condition of the intrinsic mode function IMF is satisfied, i.e.
Figure BDA0000047175070000051
Whether or not it is less than threshold HSD,0.2≤HSD≤0.3;
If yes, step 25 is executed, if no, k is k +1, and then step 23 is executed,
step (ii) of25. Extracting a first order IMF component: c. C1(t)=h1k(t)。
Obtaining the residual function h in step 23nkThe process of (t) is:
231, obtaining a residual function h of the fault data input signal x (t) after k-1 times of screening in nth empirical mode decomposition by utilizing a cubic spline functionn(k-1)(t) the upper and lower envelopes of (t),
step 232, calculating the residual function hn(k-1)(t) mean value of upper and lower envelope curves at each t
Figure BDA0000047175070000061
Step 233, obtaining the residual function of the fault data input signal x (t) after the k-time screening in the n-time empirical mode decomposition <math><mrow><msub><mi>h</mi><mi>nk</mi></msub><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>=</mo><msub><mi>h</mi><mrow><mi>n</mi><mrow><mo>(</mo><mi>k</mi><mo>-</mo><mn>1</mn><mo>)</mo></mrow></mrow></msub><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>-</mo><msub><mover><mi>m</mi><mo>&OverBar;</mo></mover><mrow><mi>n</mi><mrow><mo>(</mo><mi>k</mi><mo>-</mo><mn>1</mn><mo>)</mo></mrow></mrow></msub><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>.</mo></mrow></math>
In the third step, the process of performing summation CUSUM processing of statistical test on the first-order IM F component to judge whether the gyro sensor has a fault is as follows:
step 31, obtaining a CUSUM calculation result W of a single data point in the first-order IMF component according to the following formulai
Wi=Wi-1+|Xi|,
Wherein i is 1, 2, … N, Wi-1Calculate the result for CUSUM for the i-1 th data point, and let W0=0,XiThe first order IMF value at the ith data point,
step 32, judging the CUSUM calculation result W of the Nth data pointNWhether or not it is greater than a diagnostic threshold epsilonI
If yes, the gyro sensor has a fault, and if not, the gyro sensor does not have a fault.
If yes, the gyro sensor has a fault, and if not, the gyro sensor does not have a fault.
Diagnostic threshold εIObtained according to the following formula:
εIn σ, where σ is the standard deviation of the gyro noise.
The second embodiment is as follows: the present embodiment is different from the first embodiment in that a failure detection threshold value epsilonDIs 10 σ, and the other is the same as in the first embodiment.
The third concrete implementation mode: the present embodiment differs from the first embodiment in that H in step 24SDThe other is the same as in the first embodiment 0.25.
The fourth concrete implementation mode: the present embodiment is described below with reference to fig. 3 to 9, and the present embodiment provides a specific example: the schematic diagram of the test validation device is shown in fig. 3. The monitoring object is a three-upright-mounted one-inclined-mounted gyroscope inertia assembly composed of four single-axis fiber-optic gyroscopes VG951D, the motion of the moving body can be simulated by a three-axis turntable, the inertia gyroscope assembly is mounted on the three-axis turntable, and the measurement output of the inertia gyroscope assembly is the rotation angular velocity. The health monitoring processor adopts LPC2478 as a main controller, and LPC2478 is a microcontroller which is designed by NXP semiconductor company, has extremely high integration level and takes ARM7TDMI-S as an inner core.
Executing the step one: hardware redundancy of the inertial gyro component of the moving body is utilized, and whether the inertial gyro component fails or not is detected by an equivalence relation method.
In the step, the failure of the gyro component is detected by adopting an equivalence relation method. In order to ensure the safety and reliability of the system, the gyro sensor system of the moving body inertial gyro component mostly adopts redundant configuration, so that an equivalence relation can be constructed, and an equivalence vector can be calculated for detecting and separating sensor faults. Assume the measurement equation for the system is:
m=Hx+w+f (1)
wherein,
Figure BDA0000047175070000071
is the output signal of the I sensors;
Figure BDA0000047175070000072
installing a matrix for the sensor;is the n-dimensional measured signal;
Figure BDA0000047175070000074
Figure BDA0000047175070000075
respectively measurement noise and additional fault signals.
If a matrix is selectedSatisfies the following conditions:
VH=0(l-n)×n (2)
VVT=Il-n (3)
i.e., the column vectors of H form an n-dimensional space and the row vectors of V form an (l-n) -dimensional orthogonal space of this space.
The equivalence vector is defined as:
p=Vm=V(w+f) (4)
the equivalent vector p is independent of the measured signal and is a function of the noise w and the fault f only. If the influence of noise is not considered, the equivalent vector p is the component of the fault vector f in the (l-n) -dimensional subspace spanned by V. Therefore, a certain threshold value can be set to detect a failure of the sensor system based on the norm of the equivalent vector p.
Inertial gyro components in a moving body are usually arranged in a three-orthogonal and one-inclined mode, and the effectiveness of the proposed fault diagnosis method is explained aiming at the gyro configuration.
The gyro component measurement matrix of the three-orthogonal one-inclined configuration mode is as follows:
H = 1 0 0 0 1 0 0 0 1 0.5774 0.5774 0.5774 - - - ( 5 )
obtaining a projection matrix satisfying the formulas (2) and (3) as
V=[0.4082 0.4082 0.4082 -0.707] (6)
The equivalent vectors are:
p=Vm (7)
the fault detection law is as follows:
Figure BDA0000047175070000081
wherein epsilonDFor the fault detection threshold, it is optionalIs 10 σ, σ is the standard deviation of the gyro noise. And detecting whether the gyro sensor group has a fault or not by an equivalence relation method.
And (5) executing the step two: when the inertial gyro component is detected to have a fault, collecting N data points of an output signal of each gyro sensor in the inertial gyro component as a fault data input signal of the gyro sensor, carrying out empirical mode decomposition on the fault data input signal, and taking an obtained first-order IM F component as a fault characteristic signal of the gyro sensor.
After the gyro assembly is detected to be out of order, collecting N-128 data points near the fault detection time, and carrying out empirical mode decomposition once. Since the first order IMF contains sufficient feature information, the EMD only needs to decompose the 1 st IMF component c1And (t) stopping after the processing, thereby effectively improving the processing speed and reducing the calculated amount.
And step three is executed: performing CUSUM operation on the obtained first-order IMF, and comparing the CUSUM operation with a passing threshold epsilonIAnd (4) diagnosing whether each axis gyro has a fault or not.
The effectiveness of the fault diagnosis method provided by the invention is verified by adopting the centralized typical inertial gyro component faults, the time interval adopted in the simulation is 0.025s, and the standard deviation of gyro noise is 1 multiplied by 10-6rad/s (i.e.. epsilon.)D=10σ=1×10-5rad/s,εI=Nσ=1.28×10-4rad/s). The three faults are respectively:
1) when t is 6s, the X-axis gyro sensor has constant drift increasing fault, and the mutation amplitude is-1 multiplied by 10-4rad/s, equivalent vector is shown in FIG. 4, and first order IMF signals are shown in FIG. 5. The CUSUM calculation result W of the Nth data point in the first-order IMF component of each axis gyro is calculatedNRespectively as follows: an X axis: 3.354X 10-4rad/s, Y-axis: 9.5566X 10-5rad/s, Z-axis: 9.5738X 10-5rad/S, S-axis: 8.7282X 10-5rad/s. Wherein, W of X axisNGreater than a diagnostic threshold epsilonI(1.28×10-4rad/s) and thus, the X-axis gyro generation can be determinedAnd (4) failure.
2) When t is 11s, the Z-axis gyro malfunctions, resulting in an increase in noise variance of 1 × 10-9rad/s, equivalent vector is shown in FIG. 6, and first order IMF signals are shown in FIG. 7. The CUSUM calculation result W of the Nth data point in the first-order IMF component of each axis gyro is calculatedNRespectively as follows: an X axis: 8.8193X 10-5rad/s, Y-axis: 9.8038X 10-5rad/s, Z-axis: 1.7X 10-3rad/S, S-axis: 9.2548X 10-5rad/s. Wherein, W of Z axisNGreater than a diagnostic threshold epsilonI(1.28×10-4rad/s) and thus, it can be determined that the Z-axis gyro is malfunctioning.
3) When t is 15S, the X-axis gyro and the S-axis gyro simultaneously have sudden change faults, and the fault sizes are both 6 multiplied by 10-5rad/s, equivalent vector is shown in FIG. 8, and first order IMF signals are shown in FIG. 9, respectively. The CUSUM calculation result W of the Nth data point in the first-order IMF component of each axis gyro is calculatedNRespectively as follows: an X axis: 2.1543X 10-4rad/s, Y-axis: 9.1255X 10-5rad/s, Z-axis: 8.149X 10-5rad/S, S-axis: 1.7414X 10-4rad/S, wherein W is in the X and S axesNAre all greater than a diagnostic threshold epsilonI(1.28×10-4rad/S) from which it can be determined that the X-axis gyro and the S-axis gyro are malfunctioning.
The method can effectively diagnose the faults under the condition that a plurality of faults occur simultaneously without information provided by other sensors.

Claims (9)

1. A fault diagnosis method for a gyro inertia assembly of a moving body is characterized by comprising the following steps:
the method comprises the following steps that firstly, hardware redundancy of a moving body inertial gyro component is utilized, and whether the inertial gyro component breaks down or not is detected through an equivalence relation method;
secondly, when the inertial gyro component is detected to be in fault, collecting N data points of output signals of each gyro sensor in the inertial gyro component as fault data input signals of the gyro sensor, carrying out empirical mode decomposition on the fault data input signals, and taking an obtained first-order IM F component as a fault characteristic signal of the gyro sensor;
and step three, performing cumulative summation CUSUM processing of statistical test on the first-order IM F component obtained by each gyro sensor in the step two to judge whether the gyro sensor has a fault, and further separating the gyro sensor with the fault from the inertial gyro component to complete the health monitoring of the inertial gyro component.
2. The method for diagnosing the failure of the moving body gyro inertia assembly as claimed in claim 1, wherein the process of detecting whether the inertia gyro assembly fails or not by the equivalence relation method in the first step is as follows:
step 11, constructing an equivalence relation by utilizing hardware redundancy configuration of the moving body inertial gyro component, and calculating an equivalence vector of the equivalence relation;
step 12, judging whether the norm of the equivalent vector is smaller than a fault detection threshold value,
if the judgment result is yes, the inertial gyro component is considered to be not in fault; and if the judgment result is negative, the inertial gyro component is considered to be in fault.
3. The method of claim 2, wherein the threshold value of failure detection ε is a threshold value of failure detectionD8 sigma to 12 sigma, wherein sigma is the standard deviation of gyro noise.
4. The method of claim 2, wherein the threshold value of failure detection ε is a threshold value of failure detectionDIs 10 σ, where σ is the standard deviation of the gyro noise.
5. The method for diagnosing the failure of the gyro inertia assembly of the moving body according to claim 1, wherein the process of obtaining the first-order IM F component in the second step is:
setting a fault data input signal as x (t), t 1, 2, N,
step 21, initializing an IMF decomposition process: n is 1 and satisfies the relation rn-1(t) x (t) holds, where rn-1(t) is a trend function after the (n-1) th decomposition;
step 22, initializing the screening process, wherein k is 1 and satisfies the relation hn(k-1)(t)=rn-1(t) is true, wherein hn(k-1)(t) is a residual function after (k-1) screening in the nth empirical mode decomposition;
step 23, obtaining the residual function h after the k-th screening according to the screening programnk(t);
Step 24, judging the residual function h obtained in the step 23 by adopting a standard deviation criterionnk(t) whether the condition of the intrinsic mode function IMF is satisfied, i.e.
Figure FDA0000047175060000021
Whether or not it is less than threshold HSD,0.2≤HSD≤0.3;
If yes, step 25 is executed, if no, k is k +1, and then step 23 is executed,
step 25, extracting a first-order IMF component: c. C1(t)=h1k(t)。
6. The method for diagnosing faults of a gyroscopic inertial assembly of a moving body according to claim 5, wherein the residual function h obtained in step 23 isnkThe process of (t) is:
231, obtaining a residual function h of the fault data input signal x (t) after k-1 times of screening in nth empirical mode decomposition by utilizing a cubic spline functionn(k-1)(t) the upper and lower envelopes of (t),
step 232, calculating the residual function hn(k-1)(t) mean value of upper and lower envelope curves at each t
Figure FDA0000047175060000022
Step 233, obtaining the fault data input signal x (t) and performing an nth empirical mode decompositionResidual function after k-th screening
Figure FDA0000047175060000023
7. The method for diagnosing faults of a gyro inertia assembly of a moving body as claimed in claim 5, wherein step 24, HSD=0.25。
8. The method for diagnosing faults of a gyro inertia assembly of a moving body as claimed in claim 1, wherein the step three of performing the sum CUSUM process of statistical test on the first-order IM F component to determine whether the gyro sensor has faults comprises the steps of:
step 31, obtaining a CUSUM calculation result Wi of a single data point in the first-order IMF component according to the following formula:
Wi=Wi-1+|Xi|,
wherein i is 1, 2, … N, Wi-1Calculate the result for CUSUM for the i-1 th data point, and let W0=0,XiThe first order IMF value at the ith data point,
step 32, judging the CUSUM calculation result W of the Nth data pointNWhether or not it is greater than a diagnostic threshold epsilonI
If yes, the gyro sensor has a fault; and if not, the gyro sensor has no fault.
9. The method of claim 8, wherein the diagnostic threshold ε is defined as the threshold valueIObtained according to the following formula:
εIn σ, where σ is the standard deviation of the gyro noise.
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