CN115168787A - Flight trajectory associated tracking method based on speculative calculation - Google Patents
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Abstract
The invention discloses a flight path correlation tracking method based on speculative calculation, which is used for judging that the track points of a tracked original flight object which does not receive track point information for more than the preset time are lost; and estimating the track point of the original flying object after the track point is lost, comparing the received track point information of the new flying object with the estimated track point, if the association index between the estimated track point of the original flying object and the track point of the new flying object is in the association threshold range, associating the new flying object to the original flying object with the lost track point, serving as the tracked original flying object to track, and updating the flying track in real time according to the received track point information of the new flying object. The track point automatic prediction is carried out on the discontinuous track information, and the automatic correlation judgment is carried out through the correlation threshold based on the prediction information and the new information point, so that the organic combination of track prediction and track correlation is realized, and the continuous and stable tracking of the target under the condition that the track point is lost is ensured.
Description
Technical Field
The invention relates to trajectory tracking, in particular to a flight trajectory correlation tracking method based on speculative calculation.
Background
The flight environment in modern geographic space is complex, especially under severe environments such as rescue and relief work, mechanical failure and the like, the guarantee means such as radar, communication and the like are limited, the track points of the flight object are easy to lose, and the tracking of the flight object is often ineffective. Meanwhile, nowadays when unmanned aerial vehicles are widely used, tracking management of unmanned aerial vehicle flight is increasingly important, and the condition that the track points of flying objects are lost in the tracking process often occurs under the influence of factors such as detection means, artificial avoidance and the like. In this case, it is difficult to achieve trajectory correlation of the flying object and maintain continuous tracking of the flying object.
The traditional flight trajectory association tracking method generally aims at target trajectory information acquired by a sensor, and realizes continuous tracking of a flight trajectory under an interference condition through means of trajectory prediction, trajectory association and the like. In the aspect of trajectory prediction, methods such as filtering algorithm estimation, motion model estimation based, machine learning method estimation and the like are generally adopted. Methods such as filtering algorithm estimation and motion model estimation based need to establish an aircraft kinematics or dynamics model, are high in computational complexity and cannot meet the real-time requirement. Estimating the starting stage based on a machine learning method, wherein the prediction time and the precision of the starting stage are to be verified; in the aspect of track association, methods such as track association based on motion information, track association based on feature information and the like are included. The method models the motion process of the target or models the association probability of the multi-feature information, the association process is complex, and the timeliness is not high.
The method is complex in calculation, track prediction and track association are not organically combined, an operator needs to participate in manual judgment to perform manual association, operation complexity is increased, tracking timeliness is affected, and errors exist in manual judgment.
Disclosure of Invention
The purpose of the invention is as follows: in view of the above disadvantages, the present invention provides a flight trajectory correlation tracking method based on speculative calculation, which automatically correlates a new trajectory after trajectory prediction.
The invention also provides a flight track association tracking system based on the speculative calculation.
The technical scheme is as follows: in order to solve the problems, the invention adopts a flight path correlation tracking method based on the speculative calculation, which comprises the following steps:
(1) Receiving track point information of the tracked original flying object, and if the track point information of the tracked original flying object is not received within a preset time, judging that the track point of the original flying object is lost;
(2) Estimating the track points of the original flying object after the track points are lost, and searching the original flying object in real time;
(3) Receiving the track point information of the new flying object, and calculating the association index between the presumed track point and the track point of the new flying object according to the received track point information of the new flying objectI c ：
Wherein the content of the first and second substances,
is the spatial distance, delta, between the trajectory point of the new flying object and the presumed trajectory point of the original flying objectTIs the difference value between the current moment and the loss moment of the track point of the original flying object,k'the presumed heading of the original flying object at the current moment,v'for the presumed velocity of the original flying object at the present moment,k N the heading of the new flying object at the current moment,v N for the velocity of the new flying object at the present moment,v m the maximum flying speed of the original flying object is,ω m the maximum steering speed of the original flying object is,a m is the maximum acceleration of the original flying object,w 1 is the position error weight of the track point,w 2 Is the weight of course error,w 3 As a velocity error weight, havew 1 > 0、w 2 > 0、w 3 >0 andw 1 +w 2 +w 3 =1；
(4) Setting an association thresholdI mc If, ifI c ≤I mc And then, associating the new flying object with the original flying object with the lost track point, taking the new flying object as the tracked original flying object for tracking, and taking the received flying track of the new flying object as the flying track of the original flying object.
Further, the track point information received in the step (1) includes the number, coordinates, heading and speed of the flying object. The preset time adopts duration t or n track point information updating cycles.
Further, in the step (2), if the preset flight scheme of the tracked original flying object is known, after the track point of the original flying object is lost, assuming that the original flying object still flies in the original flight scheme, and obtaining the presumed track point of the original flying object after the track point is lost; if the flight scheme of the tracked original flying object is unknown, the uniform linear motion of the flying object is presumed according to the flight track parameters when the track point of the original flying object is lost, and the presumed track point of the original flying object after the track point is lost is obtained.
Further, in the step (2), for the original flying object with the known preset flying scheme, the calculation of the estimation after the loss of the tracking track point includes straight line extrapolation at a constant speed or a uniform speed, extrapolation of a turn at a constant speed, and extrapolation of an intersection point of a crossing straight line segment and a turn segment.
Further, in the step (4), a threshold is associatedI mc The setting is 0.8 to 0.9.
The invention also adopts a flight track association tracking system based on the speculative calculation, which comprises the following components:
the track loss judging module is used for judging that the track points of the original flying object which does not receive the track point information beyond the preset time are lost according to the received track point information of the tracked original flying object;
the track presumption module is used for presuming the track points of the original flying object after the track points are lost;
the correlation index calculation module is used for calculating a correlation index between the presumed track point of the original flying object and the track point of the new flying object;
and the association module is used for associating the new flying object with the association index smaller than the association threshold with the original flying object to be used as the original flying object for tracking.
Has the advantages that: compared with the prior art, the invention has the remarkable advantages that:
(1) The method has the advantages that the discontinuous track information is automatically predicted, automatic correlation judgment is carried out through a correlation threshold based on the prediction information and the new information points, track prediction and track correlation are organically combined, and continuous and stable tracking of the target under the condition that track points are lost is guaranteed.
(2) In the process of track prediction and association, a complex kinematics or dynamics model does not need to be established, complex association calculation does not need to be carried out, and track association tracking timeliness is high.
Drawings
FIG. 1 is a flow chart of a flight trajectory correlation tracking method of the present invention.
FIG. 2 is a schematic diagram of the calculation of the constant or uniform linear extrapolation.
FIG. 3 is a schematic diagram of the present invention for uniform velocity turn extrapolation calculation.
FIG. 4 is a schematic diagram of the extrapolation calculation across the junction of a straight line segment and a turn segment in accordance with the present invention.
FIG. 5 is a schematic diagram of a known flight plan trajectory correlation in the present invention.
FIG. 6 is a schematic diagram of the correlation of unknown flight plan trajectories in the present invention.
Detailed Description
As shown in fig. 1, in this embodiment, a flight trajectory correlation tracking method based on speculative calculation includes the following steps:
step 1) a user sets a tracked original flying object, continuously receives track point information of the original flying object, and performs tracking according to the track point informationAnd generating the flight track of the original flight object by the received track point information. The track point information comprises the number of the flying objectFIDNortheast coordinates of (A)x,y,h) Course of the vehiclekSpeed, velocityvAnd the like.
And step 2) the system does not receive the tracked original flight object track point information within a certain time, and the original flight object track point loss is judged. The certain time for judging the loss of the track points of the flying object is judged by adopting duration t or an updating period n, the updating period takes the updating period of the track points of the tracked flying object received by the system as reference, the time for not receiving the track point information is usually set to last 10 seconds or 3 track point updating periods, and the time can be manually set according to the actual condition.
Step 3) when the track point of the original flying object is judged to be lost, starting a track point presumption algorithm by the system, presuming the track point of the original flying object after the track point is lost, searching the original flying object, if a preset flying scheme established by the original flying object is known, presuming that the original flying object still flies according to the original flying scheme after the track point of the original flying object is lost, and presuming calculation of the track point of the original flying object according to the flying scheme to obtain the presumed track point of the original flying object after the track point is lost; if the flight scheme of the original flying object is unknown, the uniform linear motion of the original flying object is presumed, and presumed calculation is carried out according to the track parameters when the flight scheme disappears, so as to obtain presumed track points.
Step 3.1) for the known situation of the established flight scheme, the state (including flight altitude, speed, course, turning point position, time and the like) of the whole flight process is described in the flight scheme, and the current time is compared with the current timeTComparing with the flight scheme time, judging the flight stage of the current flight object in the flight scheme, and explaining straight line extrapolation at constant speed or uniform speed variation, straight line extrapolation at constant speed turning extrapolation, and extrapolation of the intersection point of crossing straight line segment and turning segment in detail by combining the attached drawings 2, 3 and 4.
Step 3.1.1) if the tracked flying object is in the straight flying section when the track point disappears and the flying object is still in the straight flying section at the current moment, carrying out uniform speed or even speedAnd (5) linear extrapolation of the speed change. As shown in FIG. 2, the radar is last before the trace point is lostT 0 The time report target position is (x 0 ,y 0 ) Course of the flightk 0 At a speed ofv 0 Acceleration ofa 0 The current time isTRecord of deltaT = T - T 0 Then the current time guesses the position (x',y') and the estimated heighth', estimated coursek', estimated speedv' is calculated as follows:
and 3.1.2) if the flying object is in the constant-speed turning section when the track point disappears and the flying object is still in the constant-speed turning section at the current moment, carrying out constant-speed turning extrapolation. As shown in FIG. 3, the radar is last before the trace point is lostT 0 The time report target position is (x 0 ,y 0 ) Course of the flightk 0 At a speed ofv 0 With flying objects following a circular arc
FromMPoint is moved toM The center of the circle of the point and turning arc isO ' turning slope ofθThe current time isTRecord of deltaT = T - T 0 Then time period ΔTDistance of flying arc of inner flying objectS= v 0 ·ΔT. At this time, the turning radius of the flying objectRThe calculation formula of (a) is as follows:
then the current time guesses the location (a)x',y') and the estimated heighth', estimated coursek', estimation of speedvThe calculation formula of' is as follows:
wherein, the first and the second end of the pipe are connected with each other,nindicating turning direction, left turnn = -1, right turnn =1。
And 3.1.3) if the flying object enters the uniform speed turning section from the linear flying section or changes from the uniform speed turning section to the linear flying section within the presumed time, carrying out extrapolation on the intersection point of the crossing straight line section and the turning section. As shown in FIG. 4, known flight solutions include a turning arc segment
To arrive atNThe time of the spot should bet 1 To arrive atQThe time of the spot ist 2 The disappearance time isT 0 The current time isT。
When in useT 0 < t 1 And ist 1 ≤T< t 2 When the flying object is predicted to enter the uniform speed turning section from the straight flying section within the time, if the straight line extrapolation is carried out according to the step 3.1.1), the prediction is carried outM 'Point' and plan corresponding positionM ' an error exists. Note deltat=t 1 -T 0 Can be measured according to step 3.1.1) for ΔtPerforming straight line extrapolation to obtain the position of the turning intersection point, and starting from the position point, performing turning extrapolation according to the step 3.1.2)T- t 1 The distance in time, this error is eliminated.
When in uset 1 < T 0 < t 2 And ist 2 ≤TIn time, the flying object is supposed to be changed from the constant speed turning section to the straight flying section within the time. If the curve extrapolation according to step 3.1.2) is to be inferredP '' AND scheme to positionP ' there is an error. Note Δt= t 2 -T 0 Can be according to step 3.1.2) for ΔtPerforming turn extrapolation to obtain the position of a turn intersection point, and performing straight line extrapolation according to the step 3.1.1) from the position pointT- t 2 The distance in time, this error is eliminated.
And 3.2) for the situation of unknown established flight scheme, according to the track parameters when the track points of the flying object are lost, carrying out detailed explanation on extrapolation of the presumed motion trend into a uniform straight line. As shown in FIG. 2, the radar is last before the trace point is lostT 0 The time report target position is (x 0 ,y 0 ) At a height ofh 0 Course of the flightk 0 At a speed ofv 0 At the present moment of time ofTRecord of deltaT = T - T 0 Then the current time guesses the position (x',y') and the estimated heighth', estimated coursek', estimation of speedvThe calculation formula of' is as follows:
by associating indicatorsI c The estimation error of the estimated track point of the unknown flight scheme flight object obtained by directly using uniform straight line extrapolation can be reduced to a certain extent.
And 4) receiving the newly appeared track points of the flying object by the system, and performing correlation judgment on the track points through parameters such as the number of the flying object, the northeast coordinate, the course, the speed and the like.
By calculating the correlation index between the new track point and the presumed track pointI c And performing association judgment. Suppose the trace point flying object number of the newly appeared flying objectFID N Northeast coordinates of (A)x N ,y N ,h N ) Course, coursek N Speed, velocityv N The following is a correlation indexI c The calculation steps are explained in detail.
Step 4.1) calculating the associated index according to the information of the position, the speed and the like of the newly appeared track pointI c The calculation formula is as follows:
wherein, the first and the second end of the pipe are connected with each other,
is the spatial distance, delta, between the trajectory point of the new flying object and the presumed trajectory point of the original flying objectTIs the difference value between the current moment and the original flying object track point loss moment,k'the presumed heading of the original flying object at the current moment,v'for the presumed velocity of the original flying object at the present moment,k N the heading of the new flying object at the current moment,v N for the velocity of the new flying object at the present moment,v m the maximum flying speed of the original flying object is,ω m the maximum steering speed of the original flying object is,a m is the maximum acceleration of the original flying object,w 1 the position error weight of the track point,w 2 Is the weight of course error,w 3 As a velocity error weight, havew 1 > 0、w 2 > 0、w 3 >0 andw 1 +w 2 +w 3 =1。
step 5) if the locus point of the newly appeared flying object and the correlation index of the presumed locus pointI c At a certain correlation thresholdI mc In, i.e.I c ≤I mc Then a correlation is automatically made to associate the newly emerging flying object to the tracked flying object. Will generallyI mc The setting is 0.8 to 0.9.
And 6) continuously updating the flight track by using the new flight object track point information through the system, and automatically and continuously tracking.
As shown in fig. 5, the tracked flying object is known as a flying object with the number CA8001, and the flying scheme is as follows:
table 1 flying object flight plan with number CA8001
The system receives the target northeast coordinate of number CA8001 reported by the radar at 13330.0km, 98.0km,8000m) Course of course0.78radAt a speed of900 km/h. In comparison to the flight scenario of Table 1, the aircraft is in the straight flight segment 2. And after 10 seconds, the system does not receive the update of the target track point, judges that the track point is lost, and starts track point speculation.
13.
13, 35 to 46, and comparing the flight schedule of table 1, the aircraft enters the constant velocity turnaround section 2, and the system performs extrapolation across the intersection of the straight line section and the turnaround section in step 3.1.3) to form the presumed trajectory point as shown in fig. 5.
The system receives target track point data of 3 newly-appeared flying objects reported by a radar near the presumed track point at the following steps of 13: target flying object number L2001, northeast coordinates ((r))505.0km,150.0km,8000m) Course of the flight0.1radAt a speed of900 km/h(ii) a Target flying object number L2002, northeast coordinates ((s))480.0km,85.0km, 8000m) Course of course-0.5radAt a speed of900 km/h(ii) a Target, northeast coordinates of number L2003: (520.0km,220.0km, 8000m) Course of the flight0.1radAt a speed of850km/h. And automatically associating the target with the number L2001 according to the presumed track, and realizing continuous tracking of the target.
As shown in fig. 6, the tracked flying object is known as a flying object with the number CA8001, but the flying scheme of the flying object is unknown.
The system receives the target northeast coordinates of number CA8001 from radar at 13330.0km, 98.0km,8000m) Course of the flight0.78radAt a speed of900 km/h. And after 10 seconds, the system does not receive the update of the target track point, judges that the track point is lost, presumes that the flying object moves in a uniform linear motion trend, and startsAnd (5) track point estimation.
13, 29 to 13, the system adopts the step 3.1.1) to perform uniform linear extrapolation and form the presumed track point as shown in the attached figure 6.
The system receives 2 pieces of target track point data reported by a radar near the presumed track point at 13: target, northeast coordinates of number L2001: (345.0km,113.0km,8000m) Course of the flight0.35radAt a speed of800 km/h(ii) a Target number L2002, northeast coordinates: (322.0km,110.0km,8000m) Course of the flight0At a speed of900 km/h. The system automatically associates the target with the number L2001 according to the presumed track, and realizes continuous tracking of the target.
Claims (9)
1. A flight path correlation tracking method based on speculative calculation is characterized in that,
the method comprises the following steps:
(1) Receiving track point information of the tracked original flying object, and if the track point information of the tracked original flying object is not received within a preset time, judging that the track point of the original flying object is lost;
(2) Presume the presumed track point of the original flight object after the track point loses, and search for the original flight object in real time;
(3) Receiving the track point information of the new flying object, and calculating the association index between the presumed track point and the track point of the new flying object according to the received track point information of the new flying objectI c ：
Wherein the content of the first and second substances,
is the spatial distance, delta, between the trajectory point of the new flying object and the presumed trajectory point of the original flying objectTIs the difference between the current time and the loss time of the original flight object track pointThe value of the sum of the values,k'the presumed heading of the original flying object at the current moment,v'for the presumed velocity of the original flying object at the present moment,k N the heading of the new flying object at the current moment,v N for the velocity of the new flying object at the present moment,v m is the maximum flying speed of the original flying object,ω m is the maximum steering speed of the original flying object,a m is the maximum acceleration of the original flying object,w 1 is the position error weight of the track point,w 2 Is the weight of course error,w 3 As the velocity error weight, havew 1 > 0、w 2 > 0、w 3 >0 andw 1 +w 2 +w 3 =1；
(4) Setting an association thresholdI mc If, ifI c ≤I mc And then, associating the new flying object with the original flying object with the lost track point, taking the new flying object as the tracked original flying object for tracking, and taking the received flying track of the new flying object as the flying track of the original flying object.
2. The associated tracking method for the flight trajectory according to claim 1, characterized in that the track point information received in the step (1) comprises the number, coordinates, heading and speed of the flying object.
3. The flight trajectory correlation tracking method according to claim 1, characterized in that the preset time is duration t or n track point information update cycles.
4. The associated tracking method for the flight trajectory according to claim 1, characterized in that in the step (2), if the preset flight scheme of the tracked original flying object is known, after the track point of the original flying object is lost, the presumed track point of the original flying object after the track point is lost is obtained assuming that the original flying object still flies according to the original flight scheme; if the flight scheme of the tracked original flying object is unknown, the constant-speed linear motion of the flying object is presumed according to the flight track parameters when the track point of the original flying object is lost, and the presumed track point of the original flying object after the track point is lost is obtained.
5. The associated tracking method for the flight path according to claim 4, wherein in the step (2), for the original flying object with the known preset flight scheme, the calculation of the inference after the loss of the tracking trajectory point comprises straight line extrapolation of uniform speed or uniform speed, straight line extrapolation of uniform speed turning, extrapolation across the intersection point of the straight line segment and the turning segment.
6. The flight trajectory correlation tracking method according to claim 1, wherein in the step (4), a correlation threshold is setI mc The setting is 0.8 to 0.9.
7. A system for applying the conjecture-calculation-based flight trajectory correlation tracking method of claim 1, comprising:
the track loss judging module is used for judging that the track points of the original flying object which does not receive the track point information beyond the preset time are lost according to the received track point information of the tracked original flying object;
the track presumption module is used for presuming the track point of the original flying object after the track point is lost;
the correlation index calculation module is used for calculating a correlation index between the presumed track point of the original flying object and the track point of the new flying object;
and the association module is used for associating the new flying object with the association index smaller than the association threshold with the original flying object and tracking the new flying object as the original flying object.
8. A computer device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, the processor implementing the steps of the method of any one of claims 1 to 6 when executing the computer program.
9. A computer-readable storage medium, on which a computer program is stored which, when being executed by a processor, carries out the steps of the method of any one of claims 1 to 6.
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