CN107092808A - A kind of formation target merges the tracking under maneuver model - Google Patents

A kind of formation target merges the tracking under maneuver model Download PDF

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CN107092808A
CN107092808A CN201710385783.3A CN201710385783A CN107092808A CN 107092808 A CN107092808 A CN 107092808A CN 201710385783 A CN201710385783 A CN 201710385783A CN 107092808 A CN107092808 A CN 107092808A
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CN107092808B (en
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王海鹏
潘新龙
董凯
刘瑜
夏沭涛
林雪原
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Naval Aeronautical Engineering Institute of PLA
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Abstract

The present invention proposes the tracking under a kind of formation target merging maneuver model, and this method obtains the state updated value of target, the differentiation then merged based on overall maneuver tracking model, wherein the method for building up of overall maneuver tracking model is:The acquisition that the foundation and association of foundation, clutter deleting madel and the point mark pooled model of the acceleration of entirety formation, the extrapolation for interior target of forming into columns, followed by ripple door are measured first is asked for, is finally that dbjective state is updated.Traditional maneuvering Target Tracking Algorithm to echo complexity because considering not enough, it is difficult to obtain preferable tracking effect, and existing mobile formation target tracking algorism is only simple based on overall studied of forming into columns, the state that each target in mobile formation can not be completed accurately, in real time updates, and the present invention makes up above-mentioned deficiency.

Description

A kind of formation target merges the tracking under maneuver model
The application is the applying date for September in 2014 18 days, Application No. 2014104784959, entitled " typical machine The divisional application of the patent application of dynamic formation target tracking modeling method ".
Technical field
The invention belongs to radar information integration technology field, there is provided several typical motor formation target tracking modeling sides Method.
Background technology
In recent years, with the raising of sensor performance especially resolution ratio, how sharp increasing scholar begins to focus on The integrated information obtained with multiple sensors improves the tracking performance of formation target, and this make it that formation target tracking field is permitted There is key issue to be solved more.In formation target motion process, based on specific tactics or purpose, formation target at any time can Generation is turned, climbed, diving etc. overall motor-driven, the distinctive maneuver model of formation target such as there is also division, merging, disperses, In this case, form into columns in object construction will change, cause multisensor to form into columns in individual goal resolution state Increasingly complex, the accurate tracking problem of multisensor mobile formation target becomes very difficult under clutter environment.Traditional many biographies Sensor maneuvering target tracking technology is difficult to track motor-driven formation target, and main cause is:(1) when division, conjunction occur for formation target And or it is scattered when, traditional maneuvering target tracking model is no longer matched;(2) target is general relatively near apart in forming into columns, thus echo Cross influence is serious, along with the influence of clutter, when occurring motor-driven when forming into columns, easily occurs with losing, with phenomenons such as mistakes;(3) utilize When networking sensor detects formation target, because sensor is different from the angle of target in formation, each sensor is to same motor-driven volume The acquisition mode of team's target may be inconsistent, realizes the complementation of multi-sensor information and rejects more difficult.Existing mobile formation Target tracking algorism is mostly based on formation entirety and division, merging is studied, and multi-sensor detection is issued when life is moved and compiled The flight path replacement problem of target not yet has document report in team, and the Practical Project demand of target tracking domain can not be met.
In view of the above-mentioned problems, being necessary to analyse in depth the amount for the interior target of formation when occurring motor-driven of forming into columns under multi-sensor detection Characteristic is surveyed, the formation how set up under the typical formation maneuvering patterns such as entirety of forming into columns is motor-driven, divides, merge, disperseing is studied and tracks Model, is updated with the state for realizing interior target of being formed into columns under each maneuver model.
The content of the invention
The technical problem to be solved
In the flight path maintenance stage, various motor-driven, the relative position knot for interior target echo of now forming into columns can occur for formation target Scaling, shearing, rotation equiaffine conversion occur for structure, and traditional maneuvering Target Tracking Algorithm is because complicated to mobile formation target echo Property consider not enough, it is difficult to obtain preferable tracking effect, and existing mobile formation target tracking algorism is only simple based on forming into columns Entirety is studied, it is impossible to which state that is accurate, completing each target in mobile formation in real time updates.To make up above-mentioned deficiency, Measurement characteristic when the present invention is based on formation maneuvering, sets up overall motor-driven, division, merges, disperses four kinds of typical mobile formations Target following model.
Technical scheme
The foundation of typical motor formation target tracking model of the present invention, including following techniqueflow:Form into columns overall The asking for of acceleration, form into columns in the extrapolation of target, the foundation of association ripple door, clutter deleting madel and point mark pooled model build The vertical, acquisition of POI mark, the state estimation for interior target of forming into columns.
Beneficial effect
(1) multiframe correlation model is based on, the state updated value of each target in the k-1 moment is taken full advantage of, saves one In the cycle, shorten the time of track confirmation and point-boat association;
(2) with U1(k-1) each target in is flight path head, it is ensured that the number of flight path and original U after scattered1(k-1) mesh in Number is marked to coincide;
(3) to clutter robustness preferably, most clutters are eliminated using 3/4 track initiation model, it is ensured that form into columns The accuracy of interior target following.
Brief description of the drawings
Fig. 1 is form into columns overall, division, merging, scattered maneuver tracking model flow figure;
Embodiment
The present invention is described in further detail below in conjunction with Figure of description.With reference to Figure of description, tool of the invention The following content of body embodiment point:
First, the foundation of the overall maneuver tracking model of formation
(1) computing device 1 receives to measure collection obtained by k moment detecting devicesUtilize cycle threshold model Obtain Z1(k), and using U (k-1), formation target U (k) is obtained because occurring acceleration that is overall motor-driven and producing
In formula, T is the sampling period.
(2) computing device 2 receives the output result from computing device 1Obtain each targetpath in U (k-1) One-step prediction value setWherein, TU(k) it is the target number in formation U (k), ordinary circumstance Lower TU(k)=TU(k-1);Then
In formula, F (k) ∈ Rn,nFor state-transition matrix;
(3) computing device 3 receives the output result from computing device 2, withCentered on set up association ripple Door, if Z1(k) the measurement z ini(k) formula (4) is met, then judges zi(k) fall intoRipple door in.
In formula, l is constant factor, is mainly influenceed by noise and clutter density is measured, and measures noise and clutter density is got over Greatly, l is bigger.(4) computing device 4 receives the output result of computing device 3, if falling intoAssociate the measurement collection of ripple door It is combined intoIt is right according to the source difference of sensorClassified, thenIt can be written as
In formula,For(k) sensor s measurement number is derived from;NiFor(k) sensor of measurement source in Number.
Because each sensor is reported to the point trace set of fusion center to include the true echo and clutter of target in formation, This is according to NiIt is divided into following three kinds of situations and rejects clutter, it is determined thatAssociation measure
If 1. Ni>=2, it is necessary first to set up point mark pooled model, this trifle is carried out quiet using the broad sense S-D principles distributed State is interconnected, and each sensor is measured according to static association result and is combined, and eliminates the superfluous of the same target of multiple sensor correspondences Remaining information, and Effective judgement is carried out to each combination, it then will be received all measuring points in combination and carry out the compression of point mark to obtain An equivalent measuring point is obtained, realizes that multisensor point mark is interconnected, rejects simultaneouslyIn other marks, reach elimination clutter Purpose, finally choose equivalent measuring point for interconnection measure
If 2. Ni=1, it is not necessary to set up point mark pooled model, choose hereinIn withSpace length is most Near measurementMeasured for associationWherein
If 3. Ni=0, it is based onVirtual measurement is obtained to measure for associationAnd
In formula, H (k) is measurement matrix.
(5) computing device 5 receives the output result of computing device 4Afterwards, using interacting multiple algorithm to formation U (k) i-th of target in is filtered.
In formula, M is Number of Models;For probability of the k moment to the model j of the target i filtering in formation U (k);Pij(k | k) it is respectively state updated value and covariance updated value based on model j.
(6) the state updated value and covariance updated value that the storage of storage device 6 computing device 5 is exported.
2nd, form into columns and divide the foundation of trace model
Computing device 7 receives the data U (k-1) of k moment storage device 6, because to U (k-1) and U1Or U (k)2(k) for, Formation there occurs that entirety is motor-driven, so U1And U (k)2(k) the state renewal of each target can be straight based on formation maneuvering trace model in Obtain.Because U1And U (k)2(k) by U (k-1) divides, so generally
But this is in the k moment and is based respectively on Z1And Z (k)2(k) all flight paths in U (k-1) are continued, so U1And U (k)2(k) false track is certainly existed in, it is necessary to further delete.But the deletion process of false track is in a detection It is difficult to complete in cycle, therefore by setting up flight path quality to each moment flight path, utilizes multiframe interconnection mode termination false track And the division of formation is completed, it is specifically described as:
(1) setFor k moment formation U1(k) the state updated value of the target i in, defining its flight path quality is
In formula,For k-1 moment formation U1(k) flight path quality of the target i in, if the k moment, which is formation, starts hair It is estranged at the time of split, definitionNiFor formation U1(k) target i associates the sensor of Bo Mennei measurement sources in Number.
(2) foundation of sliding window
The sliding window of one [k, k+h] is set up, if
Then judge formation U1(k) flight path i is false track in, is deleted;A is relevant with clutter density to delete parameter, Clutter density is bigger, and a value is smaller.
(3) the k+h moment is located at, ifThen stop the judgement of false track;Otherwise Increase length of window to continue to differentiate.
3rd, form into columns and merge the foundation of trace model
Computing device 8 receives the data U of storage device 61And U (k-1)2(k-1), based on Z (k), respectively to formation U1(k-1) And U2(k-1) all targetpaths in carry out state renewal, obtainWith
As formation U1And U (k-1)2(k-1) it is merged into after U (k), U1And U (k)2(k) target in belongs to same formation, each mesh Space length and motion mode between mark should meet the definition of formation, so firstly the need of based on U1And U (k)2(k) re-start The segmentation of formation.IfWith For U1And U (k)2(k) the state updated value of any two target in, if
Then judge that the two targets belong to same formation.In formula, d0For constant threshold;γ is that the obedience free degree is nx's χ2The threshold value of distribution, here nxFor the dimension of state estimation vector;And
In formula,WithFor the state estimation error covariance of two targets.
What the cycle threshold model completion k moment in being split at this based on formation was formed into columns re-recognizes, if being obtained after identification One new formationIfThe merging then formed into columns finishes;Otherwise it is sharp Repeated the above steps with the association formation measurement at k+1 moment, the merging for proceeding to form into columns differentiates.
4th, form into columns and disperse the foundation of trace model
(1) computing device 9 receives the data U of storage device 81(k-1), with U1(k-1) swept for the first time as track initiation process Resulting measurement set is retouched, The measurement set that three scanning is obtained after respectively;WithCentered on set up ripple door, ifIt is full Foot
d′ij[Ri(k-1)+Rj(k)]-1dij≤γ (16)
Then judgeCan be with zj(k) interconnect, and set up potential track D1.In formula, Rj(k) it is corresponding to zj(k) Measure noise covariance;γ is constant threshold, can be by χ2Distribution table is looked into.
In formula,WithSpeed maximums and minimum value of the respectively target i on x, y direction;ForCovariance.
(2) computing device 10 receives the output result of computing device 9, to potential track D1Linear extrapolation is carried out, and in addition Centered on pushing away a little, association ripple door Ω (k+1) is set up, it is determined by course extrapolation error covariance.If measuring zi(k+1) pass is fallen into In Lian Bomen Ω (k+1), it is assumed that ziAnd z (k+1)j(k) angle of line and the flight path is α, if (σ is typically by measurement essence by α≤σ Degree is determined, in order to ensure that, with the flight path of very high probability initial target, larger σ can be selected), then it is assumed that zi(k+1) can be with D1 Interconnection.Required if there are multiple points and meet, choose the measurement interconnection nearest from extrapolation point.
Fallen into if not measuring in Ω (k+1), by D1Continue linear extrapolation, centered on extrapolating a little, set up follow-up close Lian Bomen Ω (k+2), its size is determined by course extrapolation error covariance.If measuring zi(k+2) association ripple door Ω (k+2) is fallen into It is interior, it is assumed that ziAnd z (k+2)i(k+1) angle of line and the flight path is β, if β≤σ, judges zi(k+2) can be with D1Interconnection. Required if there are multiple points and meet, choose the measurement interconnection nearest from extrapolation point.
If in the 4th time scans, not measuring and falling into subsequent association ripple door Ω (k+2), then delete the potential track.
(3) it is not used for starting a new potential track with the measurement of any Trace Association in each cycle, goes to step (1)。
Be located at the k+2 moment withIt is combined into for the measurement collection of starting pointThen say It is z that interconnections of the improving eyesight mark i at k moment and k+1 moment, which is measured,jAnd z (k)m(k+1)。
(4) computing device 11 receives the output result of computing device 10 --- and it is z that interconnections of the target i at the k moment, which is measured,j (k) after, target is filtered using the thought of IMM models.

Claims (3)

1. a kind of formation target merges the tracking under maneuver model, it is characterised in that obtained based on overall maneuver tracking model Obtain the state updated value of targetWithThen the differentiation merged, specifically It is described as:
As formation U1And U (k-1)2(k-1) it is merged into after U (k), U1And U (k)2(k) target in belongs to same formation, each mesh Space length and motion mode between mark should meet the definition of formation, it is necessary first to based on U1And U (k)2(k) volume is re-started The segmentation of team;IfWithFor U1And U (k)2(k) the state updated value of any two target in, if
<mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mi>d</mi> <mrow> <mo>(</mo> <msup> <mrow> <mo>&amp;lsqb;</mo> <msub> <mover> <mi>x</mi> <mo>^</mo> </mover> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>,</mo> <msub> <mover> <mi>y</mi> <mo>^</mo> </mover> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mi>T</mi> </msup> <mo>,</mo> <msup> <mrow> <mo>&amp;lsqb;</mo> <msub> <mover> <mi>x</mi> <mo>^</mo> </mover> <mn>2</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>,</mo> <msub> <mover> <mi>y</mi> <mo>^</mo> </mover> <mn>2</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mi>T</mi> </msup> <mo>)</mo> </mrow> <mo>&lt;</mo> <msub> <mi>d</mi> <mn>0</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mover> <mi>V</mi> <mo>^</mo> </mover> <mn>12</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>|</mo> <mi>k</mi> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <msubsup> <mover> <mi>P</mi> <mo>^</mo> </mover> <mi>v</mi> <mn>1</mn> </msubsup> <mo>(</mo> <mrow> <mi>k</mi> <mo>|</mo> <mi>k</mi> </mrow> <mo>)</mo> <mo>+</mo> <msubsup> <mover> <mi>P</mi> <mo>^</mo> </mover> <mi>v</mi> <mn>2</mn> </msubsup> <mo>(</mo> <mrow> <mi>k</mi> <mo>|</mo> <mi>k</mi> </mrow> <mo>)</mo> <mo>)</mo> </mrow> <msubsup> <mover> <mi>V</mi> <mo>^</mo> </mover> <mn>12</mn> <mi>T</mi> </msubsup> <mrow> <mo>(</mo> <mi>k</mi> <mo>|</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>&lt;</mo> <mi>&amp;gamma;</mi> </mrow> </mtd> </mtr> </mtable> </mfenced>
Then judge that the two targets belong to same formation;In formula, d0For constant threshold;γ is that the obedience free degree is nxχ2Point The threshold value of cloth, here nxFor the dimension of state estimation vector;And
<mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mover> <mi>V</mi> <mo>^</mo> </mover> <mn>12</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>|</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>=</mo> <msup> <mrow> <mo>&amp;lsqb;</mo> <msubsup> <mover> <mi>v</mi> <mo>^</mo> </mover> <mn>1</mn> <mi>x</mi> </msubsup> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>,</mo> <msubsup> <mover> <mi>v</mi> <mo>^</mo> </mover> <mn>1</mn> <mi>y</mi> </msubsup> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mi>T</mi> </msup> <mo>-</mo> <msup> <mrow> <mo>&amp;lsqb;</mo> <msubsup> <mover> <mi>v</mi> <mo>^</mo> </mover> <mn>2</mn> <mi>x</mi> </msubsup> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>,</mo> <msubsup> <mover> <mi>v</mi> <mo>^</mo> </mover> <mn>2</mn> <mi>x</mi> </msubsup> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mi>T</mi> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msubsup> <mover> <mi>P</mi> <mo>^</mo> </mover> <mi>v</mi> <mn>1</mn> </msubsup> <mrow> <mo>(</mo> <mi>k</mi> <mo>|</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msub> <mover> <mi>P</mi> <mo>^</mo> </mover> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mn>2</mn> <mo>,</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <msub> <mover> <mi>P</mi> <mo>^</mo> </mover> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mn>2</mn> <mo>,</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mover> <mi>P</mi> <mo>^</mo> </mover> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mn>4</mn> <mo>,</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <msub> <mover> <mi>P</mi> <mo>^</mo> </mover> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mn>4</mn> <mo>,</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msubsup> <mover> <mi>P</mi> <mo>^</mo> </mover> <mi>v</mi> <mn>2</mn> </msubsup> <mrow> <mo>(</mo> <mi>k</mi> <mo>|</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msub> <mover> <mi>P</mi> <mo>^</mo> </mover> <mn>2</mn> </msub> <mrow> <mo>(</mo> <mn>2</mn> <mo>,</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <msub> <mover> <mi>P</mi> <mo>^</mo> </mover> <mn>2</mn> </msub> <mrow> <mo>(</mo> <mn>2</mn> <mo>,</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mover> <mi>P</mi> <mo>^</mo> </mover> <mn>2</mn> </msub> <mrow> <mo>(</mo> <mn>4</mn> <mo>,</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <msub> <mover> <mi>P</mi> <mo>^</mo> </mover> <mn>2</mn> </msub> <mrow> <mo>(</mo> <mn>4</mn> <mo>,</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow> </mtd> </mtr> </mtable> </mfenced>
In formula,WithFor the state estimation error covariance of two targets;
Re-recognizing of forming into columns of k moment completed based on the cycle threshold model in segmentation of forming into columns, if obtaining one after identification newly Form into columnsIfThe merging then formed into columns finishes;Otherwise the k+1 moment is utilized Association formation measurement repeat the above steps, proceed form into columns merging differentiate.
2. according to the method described in claim 1, it is characterised in that the method for building up of the overall maneuver tracking model is:
First ask for the acceleration of overall formation, the extrapolation for interior target of forming into columns, followed by foundation, clutter deleting madel and the point of ripple door The acquisition that the foundation and association of mark pooled model are measured, is finally that dbjective state is updated.
3. method according to claim 2, it is characterised in that the clutter deleting madel and the foundation for putting mark pooled model And the specific method of the acquisition of association measurement is:
According to NiIt is divided into following three kinds of situations and rejects clutter, it is determined thatAssociation measureWherein For the one-step prediction value of i-th of targetpath in formation U (k);NiForThe number of probes of middle measurement source,For Fall intoAssociate the measurement set of ripple door;
If 1. Ni>=2, it is necessary first to set up point mark pooled model, static interconnection is carried out using the broad sense S-D principles distributed, according to Static association result is measured to each sensor and is combined, and eliminates the redundancy of the same target of multiple sensor correspondences, and right Each combination carries out Effective judgement, then will be received all measuring points in combination and carry out the compression of point mark to obtain an equivalent Measuring point, realizes that multisensor point mark is interconnected, rejects simultaneouslyIn other marks, reach eliminate clutter purpose, finally select Equivalent measuring point is taken to be measured for association
If 2. Ni=1, it is not necessary to set up point mark pooled model, chooseIn withThe measurement of space length recentlyMeasured for associationWhereinForMiddle measurement number;
If 3. Ni=0, it is based onVirtual measurement is obtained to measure for associationAnd
<mrow> <msubsup> <mi>z</mi> <mi>i</mi> <mo>*</mo> </msubsup> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>H</mi> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <msub> <mover> <mi>X</mi> <mo>^</mo> </mover> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>|</mo> <mi>k</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
In formula, H (k) is measurement matrix.
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