CN109474472A - A kind of fault detection method based on the more cell space filtering of holohedral symmetry - Google Patents
A kind of fault detection method based on the more cell space filtering of holohedral symmetry Download PDFInfo
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- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L41/00—Arrangements for maintenance, administration or management of data switching networks, e.g. of packet switching networks
- H04L41/06—Management of faults, events, alarms or notifications
- H04L41/0631—Management of faults, events, alarms or notifications using root cause analysis; using analysis of correlation between notifications, alarms or events based on decision criteria, e.g. hierarchy, tree or time analysis
- H04L41/065—Management of faults, events, alarms or notifications using root cause analysis; using analysis of correlation between notifications, alarms or events based on decision criteria, e.g. hierarchy, tree or time analysis involving logical or physical relationship, e.g. grouping and hierarchies
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
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- H—ELECTRICITY
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- H04W84/18—Self-organising networks, e.g. ad-hoc networks or sensor networks
Abstract
The invention discloses a kind of fault detection methods based on the more cell space filtering of holohedral symmetry, belong to fault diagnosis field.This method includes the state vector according to wireless sensor network system, establishes the system model of wireless sensor network system；Observation vector is determined according to system model, and iteration determines the more cell spaces of the holohedral symmetry at k moment；According to the more cell spaces of estimation holohedral symmetry at the holohedral symmetry at k moment more cell space prediction k+1 moment；The observation vector for obtaining the k+1 moment calculates the consistent state collection of the wireless sensor network at k+1 moment according to the observation vector at k+1 moment；Whether the more cell spaces of estimation holohedral symmetry for detecting the consistent state collection and k+1 moment at k+1 moment have intersection；If detecting that no intersection is determined to break down in k+1 moment wireless sensor network system；Solve the problems, such as that real-time is not high when wireless sensor network system detects failure；The practicability for increasing detection method improves the efficiency and accuracy rate of fault detection.
Description
Technical field
The present embodiments relate to fault diagnosis field, in particular to a kind of failure inspection based on the more cell space filtering of holohedral symmetry
Survey method.
Background technique
Wireless sensor network is a kind of fully-distributed system of non-stop layer node.By way of launching at random, Zhong Duochuan
Sensor node is deployed in presumptive area.The sensor node being launched in presumptive area has sensor, data processing list
Member and communication module, they are by constituting network system with being wirelessly connected self-organizing.If wireless sensor network breaks down,
It is likely to result in serious loss, it is therefore desirable to which real-time, accurate detection is carried out to the failure of wireless sensor network system.
Generally can use set-member estimation method failure detected, set-member estimation method utilize comprising system model,
The state feasible set of measurement data, interference and noise margin describes the time of day of system, rather than conventional filtering calculates
The single estimated value arrived.Under normal circumstances, state feasible set is irregular convex polyhedron, it is difficult to it is described with mathematical model,
Therefore need to find the set for capableing of approximate description state feasible set, such as ellipsoid, section, parallelohedron, common more
Face body etc., however, ellipsoid, section and parallel polyhedral accuracy are lower, conservative is larger, and common polyhedral dimension can be with
The increase of the number of iterations and increase, cause computation complexity to increase.
Summary of the invention
In order to solve problems in the prior art, the embodiment of the invention provides a kind of events based on the more cell space filtering of holohedral symmetry
Hinder detection method.The technical solution is as follows:
In a first aspect, a kind of fault detection method based on the more cell space filtering of holohedral symmetry is provided, this method comprises:
According to the state vector of wireless sensor network system, the system model of wireless sensor network system is established:
Observation vector is determined according to system model, and the more cell spaces of holohedral symmetry at k moment are determined according to observation vector iteration
According to the more cell spaces of estimation holohedral symmetry at the holohedral symmetry at k moment more cell space prediction k+1 moment
The observation vector that the k+1 moment is obtained according to system model calculates the k+1 moment according to the observation vector at k+1 moment
The consistent state collection S of wireless sensor networkk+1；
Detect the consistent state collection S at k+1 momentk+1With the more cell spaces of estimation holohedral symmetry at k+1 momentWhether intersection is had；
If detecting the consistent state collection S at k+1 momentk+1With the more cell spaces of estimation holohedral symmetry at k+1 momentWithout friendship
Collection, it is determined that break down in k+1 moment wireless sensor network system；
Wherein, xkIndicate the state vector of the wireless sensor network system at k moment, xk∈Rn；ykIndicate the nothing at k moment
The observation vector of line sensor network system, yk∈R；A indicates state space matrices, and c indicates that output matrix, F indicate that disturbance is made
With matrix, σ indicates noise contributions matrix；wkIndicate state perturbation vector, wk∈Rn；vkIndicate measurement noise vector, vk∈R；
For the additive property fault-signal of unknown but bounded；
Indicate the more cell spaces of holohedral symmetry at k moment,Indicate the more cell spaces of holohedral symmetry at k momentCenter,Table
Show the more cell spaces of k moment holohedral symmetryGenerator matrix, BmIndicate the unit box being made of m unit interval；I indicates unit
Matrix；Indicate that the more cell spaces of estimation holohedral symmetry at k+1 moment, r indicate that the dimension of the more cell spaces of holohedral symmetry at k moment, n indicate
The dimension of state vector, λ indicate to enable the smallest parameter of volume of the more cell spaces of holohedral symmetry.
Optionally, the consistent state collection of the wireless sensor network at k+1 moment is calculated according to the observation vector at k+1 moment
Sk+1, comprising:
According to the observation vector at k+1 moment, the consistent state of the wireless sensor network at k+1 moment is calculated as follows
Collect Sk+1:
Sk+1={ xk+1∈Rn:|cTxk+1-yk+1|≤σ}；
Wherein, yk+1Indicate the observation vector at k+1 moment.
Optionally, the consistent state collection S at k+1 moment is detectedk+1With the more cell spaces of estimation holohedral symmetry at k+1 momentWhether
There is intersection, comprising:
Whether the observation vector at detection k+1 moment meets fault condition；
If detecting, the observation vector at k+1 moment meets fault condition, the consistent state collection S at k+1 momentk+1When with k+1
The more cell spaces of estimation holohedral symmetry at quarterWithout intersection；
If detecting, the observation vector at k+1 moment is unsatisfactory for fault condition, the consistent state collection S at k+1 momentk+1And k+1
The more cell spaces of estimation holohedral symmetry at momentThere is intersection；
Fault condition are as follows:
qu< yk+1- σ or ql> yk+1+σ；
qu=cTp+||HTc||1；
ql=cTp-||HTc||1；
Wherein, yk+1Indicate the observation vector at k+1 moment, qlIndicate the lower boundary of estimated state, quIndicate estimated state
Coboundary；
Optionally, this method further include:
Obtain the consistent state collection S at k+1 momentk+1With the more cell spaces of estimation holohedral symmetry at k+1 momentIntersection；
According to the consistent state collection S at k+1 momentk+1With the more cell spaces of estimation holohedral symmetry at k+1 momentIntersection, obtain k
The more cell spaces of the holohedral symmetry at+1 moment
Optionally, according to the consistent state collection S at k+1 momentk+1With the more cell spaces of estimation holohedral symmetry at k+1 momentFriendship
Collection obtains the more cell spaces of holohedral symmetry at k+1 momentInclude:
Utilize the more cell space races of holohedral symmetryThe consistent state collection S at approximate description k+1 momentk+1With the k+1 moment
Estimate the more cell spaces of holohedral symmetryIntersection；
By the more cell space races of holohedral symmetryIn the more cell spaces of more the smallest holohedral symmetrys of cell space volume as the k+1 moment
The more cell spaces of holohedral symmetry
Wherein,Indicate the more cell spaces of holohedral symmetry at k+1 moment,Indicate the more cell spaces of holohedral symmetry at k+1 momentCenter,Indicate the more cell spaces of holohedral symmetry at k+1 momentGenerator matrix.
Optionally, this method further include:
The smallest parameter of volume for enabling the more cell spaces of holohedral symmetry is calculated using the second-rate optimization method for minimizing generator matrix norm
λ；
Wherein,
Optionally, this method further include:
The initial state vector of wireless sensor network system is set, the more cell spaces of initial holohedral symmetry are defined.
Technical solution provided in an embodiment of the present invention has the benefit that
By establishing the system model of wireless sensor network system, the time of failure to be detected is obtained according to system model
Observation vector in section, the more cell spaces of holohedral symmetry at k moment is determined according to observation vector iteration, according to the more cell spaces of the holohedral symmetry at k moment
The more cell spaces of estimation holohedral symmetry for predicting the k+1 moment obtain the observation vector at k+1 moment according to system model, according to the k+1 moment
Observation vector calculates the consistent state collection of the wireless sensor network at k+1 moment；According to the consistent state collection and k+1 at k+1 moment
Whether the more cell spaces of estimation holohedral symmetry at moment have whether intersection determination breaks down in k+1 moment wireless sensor network system；
Solve the problems, such as real-time is not high when whether determining wireless sensor network system breaks down；It does not need to know model in advance
The priori knowledge of error and measurement noise, increases the practicability of detection method, improves the efficiency and accuracy rate of fault detection.
The minimum volume of the more cell spaces of holohedral symmetry is obtained in continuous iterative process, and more using the holohedral symmetry of minimum volume
Cell space update wireless sensor network system state feasible set, it is ensured that in fault-free, wireless sensor network system it is true
Real state is always in state feasible set, if system jam, system time of day is not at state in estimation range, improves
To the estimated accuracy of wireless sensor network system.
Detailed description of the invention
To describe the technical solutions in the embodiments of the present invention more clearly, make required in being described below to embodiment
Attached drawing is briefly described, it should be apparent that, drawings in the following description are only some embodiments of the invention, for
For those of ordinary skill in the art, without creative efforts, it can also be obtained according to these attached drawings other
Attached drawing.
Fig. 1 is a kind of fault detection method based on the more cell space filtering of holohedral symmetry shown according to an exemplary embodiment
Flow chart.
Specific embodiment
To make the object, technical solutions and advantages of the present invention clearer, below in conjunction with attached drawing to embodiment party of the present invention
Formula is described in further detail.
Referring to FIG. 1, it illustrates the fault detections of wireless sensor network system provided by one embodiment of the present invention
The flow chart of method.The fault detection method based on the more cell space filtering of holohedral symmetry is applied in wireless sensor network system,
As shown in Figure 1, should be may comprise steps of based on the fault detection method of the more cell space filtering of holohedral symmetry:
Step 101, according to the state vector of wireless sensor network system, the system for establishing wireless sensor network system
Model.
The system model of wireless sensor network system such as following formula (1):
xkIndicate the state vector of the wireless sensor network system at k moment, xk∈Rn；
ykIndicate the observation vector of the wireless sensor network system at k moment, yk∈R；
A indicates state space matrices, and c indicates that output matrix, F indicate that perturbation action matrix, σ indicate noise contributions matrix；
wkIndicate state perturbation vector, wk∈Rn；vkIndicate measurement noise vector, vk∈R；
The dimension of n expression state vector.
K is integer.
The additive property fault-signal of bounded to be unknown, when wireless sensor network system fault-free,
When wireless sensor network system in the event of failure,
Wherein, state space matrices A and output matrix c can be surveyed.
Step 102, observation vector is determined according to system model, determines that the holohedral symmetry at k moment is more according to observation vector iteration
Cell space
The more cell spaces of the holohedral symmetry at k momentThe state of wireless sensor network system for the approximate description k moment is feasible
Collection.
According to xkY can be determined with formula (1)k。
The more cell spaces of k moment holohedral symmetryIt can be determined according to formula (2) to (4):
Indicate the more cell spaces of holohedral symmetry at k moment,Indicate the more cell spaces of holohedral symmetry at k momentCenter,Table
Show the more cell spaces of k moment holohedral symmetryGenerator matrix, BmIndicate the unit box being made of m unit interval；I indicates unit
Matrix；N indicates that the dimension of state vector, r indicate the dimension of the more cell spaces of k moment holohedral symmetry.
λ expression enables the smallest parameter of volume of the more cell spaces of holohedral symmetry,
Before iteration determines the more cell spaces of k moment holohedral symmetry, the initial state vector of wireless sensor network system is set
x0, define the more cell space Z of initial holohedral symmetry0:
Wherein, p0And H0It is customized；In an iterative process, p and H presses formula (3) and formula
(4) it determines.
Initial state vector x0Belong to the known initial more cell space Z of holohedral symmetry0, i.e. x0∈Z0。
According to initial state vector x0And system model, it is available for determining state required for the more cell spaces of holohedral symmetry
Vector sum observation vector, i.e., according to x0Obtain x1And y0, according to x1Obtain x2And y1... ...
It needs, after iteration is primary, the more cell spaces of the holohedral symmetry at k+1 momentIt is not determined according to step 102, k+
The more cell spaces of the holohedral symmetry at 1 momentUpdate obtains.
Step 103, according to the more cell spaces of estimation holohedral symmetry at the holohedral symmetry at k moment more cell space prediction k+1 moment
The more cell spaces of estimation holohedral symmetry at k+1 momentIt is predicted by formula (5):
Step 104, the observation vector that the k+1 moment is obtained according to system model calculates k+ according to the observation vector at k+1 moment
The consistent state collection S of the wireless sensor network at 1 momentk+1。
The observation vector y of the wireless sensor network system at k+1 moment is determined according to formula (1)k+1。
According to the observation vector y of the wireless sensor network system at k+1 momentk+1, the wireless of k+1 moment is calculated by formula (6)
The consistent state collection S of sensor networkk+1:
Sk+1={ xk+1∈Rn:|cTxk+1-yk+1|≤σ} (6)
xk+1Indicate the state vector of the wireless sensor network at k+1 moment.
Step 105, the consistent state collection S at k+1 moment is detectedk+1With the more cell spaces of estimation holohedral symmetry at k+1 momentIt is
It is no to have intersection.
Whether the observation vector at detection k+1 moment meets fault condition.
Fault condition are as follows:
qu< yk+1- σ or ql> yk+1+σ；
qu=cTp+||HTc||1；
ql=cTp-||HTc||1；
Wherein, yk+1Indicate the observation vector at k+1 moment, qlIndicate the lower boundary of estimated state, quIndicate estimated state
Coboundary；||·||1Indicate 1 norm.
If detecting, the observation vector at k+1 moment meets fault condition, the consistent state collection S at k+1 momentk+1When with k+1
The more cell spaces of estimation holohedral symmetry at quarterWithout intersection；
If detecting, the observation vector at k+1 moment is unsatisfactory for fault condition, the consistent state collection S at k+1 momentk+1And k+1
The more cell spaces of estimation holohedral symmetry at momentThere is intersection.
If detecting the consistent state collection S at k+1 momentk+1With the more cell spaces of estimation holohedral symmetry at k+1 momentWithout intersection,
Then follow the steps 106；If detecting the consistent state collection S at k+1 momentk+1With the more cell spaces of estimation holohedral symmetry at k+1 moment
There is intersection, it is determined that wireless sensor network system is without failure.
Step 106, it determines and breaks down in k+1 moment wireless sensor network system.
After whether detection k+1 moment wireless sensor network system breaks down, due to the wireless biography at k+1 moment at this time
The state feasible set of sensor network system is with the estimation more cell spaces of holohedral symmetryIt indicates, i.e. the wireless sensor network at k+1 moment
The state feasible set of network system is prediction, in order to guarantee the event to the i.e. k+2 moment wireless sensor network system of subsequent time
Barrier is accurately detected, and needs to update the more cell spaces of holohedral symmetry at k+1 moment
Step 107, the more cell space races of holohedral symmetry are utilizedThe consistent state collection S at approximate description k+1 momentk+1And k
The more cell spaces of estimation holohedral symmetry at+1 momentIntersection.
The consistent state collection S at k+1 momentk+1With the more cell spaces of estimation holohedral symmetry at k+1 momentIntersection include k+1 when
The convex polyhedron for carving all possible states of wireless sensor network system, utilizes the more cell space races of holohedral symmetryCome approximate.
Step 108, by the more cell space races of holohedral symmetryIn the more cell spaces of more the smallest holohedral symmetrys of cell space volume as k
The more cell spaces of the holohedral symmetry at+1 moment
It needs from the more cell space races of holohedral symmetryIn search out the more cell spaces of optimal holohedral symmetry and carry out approximate description k+1
The state feasible set of the wireless sensor network system at moment.
Since the more cell spaces of obtained holohedral symmetry are by λ*Parametrization utilizes the second-rate optimization method meter for minimizing generator matrix norm
Calculate the smallest parameter lambda of volume for enabling the more cell spaces of holohedral symmetry.
Wherein,
It brings calculated parameter into λ and brings formula (7) into, obtain the more cell spaces of holohedral symmetryIt i.e. can according to formula (8) to (10)
The more cell spaces of holohedral symmetry to obtain the k+1 moment.
Indicate the more cell spaces of holohedral symmetry at k+1 moment,Indicate the more cell spaces of holohedral symmetry at k+1 momentIn
The heart,Indicate the more cell spaces of holohedral symmetry at k+1 momentGenerator matrix, I indicate unit matrix.
In conclusion the embodiment of the present invention is by establishing the system model of wireless sensor network system, according to system mould
Type obtains the observation vector in the period of failure to be detected, and the more cell spaces of holohedral symmetry at k moment are determined according to observation vector iteration,
According to the more cell spaces of estimation holohedral symmetry at the holohedral symmetry at k moment more cell space prediction k+1 moment, the k+1 moment is obtained according to system model
Observation vector calculates the consistent state collection of the wireless sensor network at k+1 moment according to the observation vector at k+1 moment；According to k+1
Whether the more cell spaces of estimation holohedral symmetry of the consistent state collection and k+1 moment at moment have intersection to determine in k+1 moment wireless sensor
Whether network system breaks down；Solve when whether determining wireless sensor network system breaks down that real-time is not high to ask
Topic；It does not need to know model error in advance and measures the priori knowledge of noise, increase the practicability of detection method, improve event
Hinder the efficiency and accuracy rate of detection.
The minimum volume of the more cell spaces of holohedral symmetry is obtained in continuous iterative process, and more using the holohedral symmetry of minimum volume
Cell space update wireless sensor network system state feasible set, it is ensured that in fault-free, wireless sensor network system it is true
Real state is always in state feasible set, if system jam, system time of day is not at state in estimation range, improves
To the estimated accuracy of wireless sensor network system.
It is passed in addition, can be determined according to the above-mentioned condition for judging whether wireless sensor network system breaks down to wireless
When which kind of condition the fault detection sensitivity of sensor network system, i.e. fault-signal meet, fault detection be may be implemented, and meet
Zero rate of false alarm.
Due to:
1, when observation vector y meets quWhen < y- σ, fault-signalMeet:
2, when observation vector y meets qlWhen > y+ σ, fault-signalMeet:
Therefore, the condition that fault-signal meets are as follows:
It should be understood that the serial number of the above embodiments of the invention is only for description, do not represent the advantages or disadvantages of the embodiments.
Those of ordinary skill in the art will appreciate that realizing that all or part of the steps of above-described embodiment can pass through hardware
It completes, relevant hardware can also be instructed to complete by program, the program can store in a kind of computer-readable
In storage medium, storage medium mentioned above can be read-only memory, disk or CD etc..
The foregoing is merely presently preferred embodiments of the present invention, is not intended to limit the invention, it is all in spirit of the invention and
Within principle, any modification, equivalent replacement, improvement and so on be should all be included in the protection scope of the present invention.
Claims (7)
1. a kind of fault detection method based on the more cell space filtering of holohedral symmetry, which is characterized in that the described method includes:
According to the state vector of wireless sensor network system, the system model of wireless sensor network system is established:
Observation vector is determined according to the system model, and the more cell spaces of holohedral symmetry at k moment are determined according to the observation vector iteration
According to the more cell spaces of estimation holohedral symmetry at the holohedral symmetry at the k moment more cell space prediction k+1 moment
The observation vector that the k+1 moment is obtained according to the system model, when calculating k+1 according to the observation vector at the k+1 moment
The consistent state collection S of the wireless sensor network at quarterk+1；
Detect the consistent state collection S at the k+1 momentk+1With the more cell spaces of estimation holohedral symmetry at the k+1 momentWhether friendship is had
Collection；
If detecting the consistent state collection S at the k+1 momentk+1With the more cell spaces of estimation holohedral symmetry at the k+1 momentNothing
Intersection, it is determined that the wireless sensor network system described in the k+1 moment breaks down；
Wherein, xkIndicate the state vector of the wireless sensor network system at k moment, xk∈Rn；ykIndicate the wireless sensing at k moment
The observation vector of device network system, yk∈R；A indicates state space matrices, and c indicates that output matrix, F indicate perturbation action matrix,
σ indicates noise contributions matrix；wkIndicate state perturbation vector, wk∈Rn；vkIndicate measurement noise vector, vk∈R；It is unknown
But the additive property fault-signal of bounded；
Indicate the more cell spaces of holohedral symmetry at k moment,Indicate the more cell spaces of holohedral symmetry at k momentCenter,When indicating k
Carve the more cell spaces of holohedral symmetryGenerator matrix, BmIndicate the unit box being made of m unit interval；I indicates unit matrix；Indicate the k+1 moment the more cell spaces of estimation holohedral symmetry, r indicate the k moment the more cell spaces of holohedral symmetry dimension, n indicate state to
The dimension of amount, λ indicate to enable the smallest parameter of volume of the more cell spaces of holohedral symmetry.
2. the method according to claim 1, wherein described calculate k+1 according to the observation vector at the k+1 moment
The consistent state collection S of the wireless sensor network at momentk+1, comprising:
According to the observation vector at the k+1 moment, the consistent state of the wireless sensor network at k+1 moment is calculated as follows
Collect Sk+1:
Sk+1={ xk+1∈Rn:|cTxk+1-yk+1|≤σ}；
Wherein, yk+1Indicate the observation vector at k+1 moment.
3. the method according to claim 1, wherein the consistent state collection S at the detection k+1 momentk+1With
The more cell spaces of estimation holohedral symmetry at the k+1 momentWhether intersection is had, comprising:
Whether the observation vector for detecting the k+1 moment meets fault condition；
If detecting, the observation vector at the k+1 moment meets fault condition, the consistent state collection S at the k+1 momentk+1With
The more cell spaces of estimation holohedral symmetry at the k+1 momentWithout intersection；
If detecting, the observation vector at the k+1 moment is unsatisfactory for fault condition, the consistent state collection S at the k+1 momentk+1
With the more cell spaces of estimation holohedral symmetry at the k+1 momentThere is intersection；
The fault condition are as follows:
qu< yk+1- σ or ql> yk+1+σ；
qu=cTp+||HTc||1；
ql=cTp-||HTc||1；
Wherein, yk+1Indicate the observation vector at k+1 moment, qlIndicate the lower boundary of estimated state, quIndicate the top of estimated state
Boundary；
4. the method according to claim 1, wherein the method also includes:
Obtain the consistent state collection S at the k+1 momentk+1With the more cell spaces of estimation holohedral symmetry at the k+1 momentIntersection；
According to the consistent state collection S at the k+1 momentk+1With the more cell spaces of estimation holohedral symmetry at k+1 momentIntersection, obtain k
The more cell spaces of the holohedral symmetry at+1 moment
5. according to the method described in claim 4, it is characterized in that, the consistent state collection S according to the k+1 momentk+1With
The more cell spaces of estimation holohedral symmetry at k+1 momentIntersection, obtain the k+1 moment the more cell spaces of holohedral symmetryInclude:
Utilize the more cell space races of holohedral symmetryThe consistent state collection S at k+1 moment described in approximate descriptionk+1With the k+1 moment
Estimate the more cell spaces of holohedral symmetryIntersection；
By the more cell space races of the holohedral symmetryIn the more cell spaces of more the smallest holohedral symmetrys of cell space volume as the k+1 moment
The more cell spaces of holohedral symmetry
Wherein,Indicate the more cell spaces of holohedral symmetry at k+1 moment,Indicate the more cell spaces of holohedral symmetry at k+1 momentIn
The heart,Indicate the more cell spaces of holohedral symmetry at k+1 momentGenerator matrix.
6. method according to any one of claims 1 to 5, which is characterized in that the method also includes:
The smallest parameter lambda of volume for enabling the more cell spaces of holohedral symmetry is calculated using the second-rate optimization method for minimizing generator matrix norm；
Wherein,
7. method according to any one of claims 1 to 5, which is characterized in that the method also includes:
The initial state vector of wireless sensor network system is set, the more cell spaces of initial holohedral symmetry are defined.
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