CN108445755A - Electronic jammers spatial domain based on refined Hook Jeeves algorighm delineates method - Google Patents
Electronic jammers spatial domain based on refined Hook Jeeves algorighm delineates method Download PDFInfo
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Abstract
The invention discloses a kind of, and the electronic jammers spatial domain based on refined Hook Jeeves algorighm delineates method, belongs to electronic jammers spatial domain and delineates technical field.Purpose is that the optimal spatial domain delineating model of electronic jammers is established on the basis of radar coverage, airline safety interval and effective interference time under providing electronic interferences, and optimal spatial domain datum mark is found using refined Hook Jeeves algorighm.To avoid being absorbed in local optimum, linear regulation parameter is changed to Nonlinear Adjustment parameter in primal algorithm, and is introduced into the memory function in particle cluster algorithm, improves primal algorithm.Emulation shows that refined Hook Jeeves algorighm has more superiority than original optimization algorithm and particle cluster algorithm, can quickly and efficiently find optimal spatial domain datum mark, to delineate out the optimal spatial domain of electronic jammers to complete anti-task of specifically dashing forward.
Description
Technical field
The present invention relates to a kind of, and the electronic jammers spatial domain based on refined Hook Jeeves algorighm delineates method, belongs to electronic jammers
Spatial domain delineates technical field.
Background technology
In modernized war, the radar network composite of enemy has become the prominent anti-trump card of our opportunity of combat of containment.Radar fence with
Its more system, high-precision and omnidirectional detection characteristic so that Stealth Fighter and the excellent fighter plane of mobility are also difficult to realize
Safety is prominent anti-.In novel operation, in order to realize the specific purpose of operation, the opportunity of combat for the prominent anti-task that carries out usually needs and electricity
Sub- countermeasure aircraft coordinated, i.e. electronic jammers discharge interference signal except enemy firepower strike, are penetration fighter shape
At safety zone, enemy radar detection is avoided, therefore how rationally, efficiently the spatial domain for delineating electronic jammers becomes commander
One of the problem of urgent need to resolve.In terms of stand-off jamming, previous document focuses mainly on asking for interference increment method
Topic, it is fewer for the related fields research for how delineating the delineating of electronic jammers spatial domain.It is remaining to resolve etc. to the fixed target of shielding
When radar jammer allocation problem studied, Qi Wei etc. proposes the base for supporting the selection of countermeasure aircraft battle array position and flight course planning
This principle, Huang Yingcong distances, the aspect of azel 3 to jammer battle array position select the influence to radar maximum detectable range into
Gone research, Luo Jintao etc. proposes the basic demand of electronic-jamming aircraft spatial domain configuration, but and unbonded specific tasks carry out
Spatial domain delineates, and also existing technical literature conducts in-depth research the electronic jammers problem of structuring the formation in cooperation, but
Think that the position of jammer cooperation is fixed, is not bound with jammer flight reality and spatial domain delineating is carried out to it.
Invention content
Therefore, for the above problem of the prior art, the present invention is that jammer spatial domain delineates during solving cooperative penetration
The problem of, it is prominent anti-safely for shielding opportunity of combat using efficient, flexible use of airspace as target, with opportunity of combat apart from threat radar center and
Penetration route personal distance is object function, establishes jammer spatial domain and delineates model, is found using refined Hook Jeeves algorighm best
Spatial domain datum mark.
Technical scheme of the present invention is specially：
A kind of electronic jammers spatial domain delineating method based on refined Hook Jeeves algorighm, the method specifically include：
Step 1：According to jammer spatial domain benchmark point model, initial spatial domain datum mark number, maximum iteration, dimension are determined
Number and the upper bound and lower bound, adjustment parameter simultaneously carry out parameter initialization, enable t=1；
Step 2：Initial spatial domain datum mark is randomly selected, the airline safety interval of each spatial domain datum mark is calculated；
Step 3：Differentiate whether population meets three constraints,
Constraint 1：Jammer inherently safe constrains：Spatial domain i.e. where jammer must each radar investigative range it
Outside；
Constraint 2：Command and control range constraint：I.e. the spatial domain of jammer must at this end early warning plane command and control region it
It is interior；
Constraint 3：Prominent anti-opportunity of combat security constraint：The airline safety interval formed after interfering must satisfy needed for anti-opportunity of combat
Minimum airline safety interval；
It is to bear infinite, return to step 2 that its fitness is enabled if being unsatisfactory for；Otherwise according to formula one, each kind is calculated
The fitness value of group, record fitness arrange adaptive optimal control angle value the spatial domain datum mark i.e. α, β, δ corresponding with its of first three；
Wherein, diFor the compacting interference anti-course line of processus aboralis and i-th of threat radar route personal distance；λ1Indicate airline safety
The weight at interval, λ2Indicate the weight of jammer and radar network composite central point, and λ1+λ2=1；xj0,yj0For j-th of jammer
The transverse and longitudinal coordinate of spatial domain datum mark；
Step 4:Enable t=t+1；
Step 5:According to formula two, formula three, formula four, update respectively
Wherein, t indicates current iteration number,WithIt is coefficient of concordance vector,For adjustment parameter,WithIt is random
[0,1] vector in；
Step 6：According to formula five, formula six, formula seven, α, the position of β, δ are updated respectively；
Step 7：According to according to the position of the update spatial domain datum mark of formula eight；
Wherein,For the random number in [0,1], c1For adjustment factor.For the optimum position point passed through in history；
Step 8：Judge whether to reach maximum iteration, if so, algorithm terminates, exports optimal result, otherwise return
Step 4.
Further, 1, constraint 2, constraint 3 are constrained in the method in step 3 respectively according to formula ten, formula 11, public affairs
Formula 12 judges；
xj∈[xmin,xmax],yj∈[ymin,ymax] formula 11
di≥dminFormula 12.
The technique effect of the present invention is the electronic jammers spatial domain delineating side proposed by the present invention based on refined Hook Jeeves algorighm
Linear regulation parameter, is become Nonlinear Adjustment parameter, and introduce grain at the problem of being easily trapped into local optimum for algorithm by method
The problem of memory function in swarm optimization, balance causes iterations to become larger due to using Nonlinear Adjustment parameter.Root later
The size in spatial domain is determined according to the datum mark of effective interference time, the relevant parameter of jammer and spatial domain, finally, is built by verification
The validity of model and the superiority of refined Hook Jeeves algorighm carry out simulating, verifying using example to the method for the present invention, acquirement
Technique effect includes：
To delineate the optimal spatial domain of electronic jammers, fully considers the emphasis of policymaker, establish optimal Spatial Domain；
Using refined Hook Jeeves algorighm, optimal spatial domain datum mark is solved can quickly obtain it is optimal needed for policymaker
Spatial domain ensure that delineated spatial domain is scientific and effective.
Description of the drawings：
Fig. 1 is jammer fundamental diagram；
Fig. 2 is enemy's radar fence distribution map；
Fig. 3 is flow chart of the method for the present invention；
Fig. 4 is the undisturbed investigative range schematic diagram of radar；
Fig. 5 is GWO and PSO comparison diagrams；
Fig. 6 is situation map after 1 interference of emulation；
Fig. 7 is situation map after 2 interference of emulation.
Specific implementation mode
Description of specific embodiments of the present invention below：
Radar coverage under electronic interferences
It is to assign special electronic countermeasure aircraft to reach predetermined spatial domain in advance to make track type flight that distance, which supports interference (SOJ),
Make the flight of lateral track type if potato masher antenna is in aircraft both sides, potato masher antenna makees longitudinal track type flight front and back,
Jammer is chosen in the present invention makees longitudinal track type flight.Under the collaboration commander of early warning plane, interference signal is actively discharged, it is right
Enemy threatens radar to form certain jamming blanketed zone, realizes that the safety of opportunity of combat is prominent anti-, therefore, to study the delineating of jammer spatial domain
Problem first has to determine the radar coverage under electronic interferences.
Do not consider target fluctuation, ignore multipath effect, it is assumed that transmitting signal and reception signal shared antenna, single portion's jammer
Pressed radar coverage is：
Wherein, KjFor blanket factor, PtFor radar emission signal power, GtFor transmitting radar antenna power gain, σ is thunder
Up to target cross section, RjFor the distance of radar to jammer, PjFor jammer power, GjFor jammer antenna gain, γjFor day
The polarization loss of line, G (θ) are the radar antenna gain for deviateing main lobe maximum direction θ degree, and rule of thumb formula G (θ) is：
θ0.5For main lobe width, k is constant, generally 0.04~0.1.Since power has superposability, multi-section dry
Disturbing the pressed radar coverage of machine is：
Due to the radar in reality quantity always greater than jammer quantity, so the present invention chooses the dry of " one-to-one "
Disturb pattern.
Airline safety interval
During practical flight, due to deviation, pilot's technical error and the wind speed etc. by prominent anti-opportunity of combat flight path positioning
It influences, aircraft can usually deviate the penetration route of benchmark, and therefore, it is necessary to consider the investigative range and penetration route of radar after interfering
Between the shortest distance, that is, course line personal distance, as shown in Figure 1, reference numeral in Fig. 1 include prominent anti-starting point 1, it is prominent
Anti- terminal 2, discharge interference the moment 3, terminate interference the moment 4, airline safety interval 5, interference after investigative range 6, interference before detection
Range 7.Can airline safety interval be to be related to fighter plane dash forward safely anti-key point, interferes being formed through electronic jammers
Airline safety interval cannot be less than the required minimum airline safety interval of penetration fighter.
Effective interference time
Due to jammer be responsible for shielding, supporting operations machine task, discharging interference too early, to be then possible to expose us prominent
Anti- attempt so that enemy early prepares, and terminating interference too late can then constitute a threat to the safety of jammer itself, discharge too late
Interference terminates to interfere too early, then it cannot be guaranteed that the completion of task.Therefore, jammer discharges interference and terminates the opportunity of interference
I.e. effective interference time is also very crucial.Simultaneously as the antenna of jammer is mounted on the front and back of aircraft, when actual interference
Between be racetrack spatial domain straight line portion, effect is not interfered with to radar at turning, thus effectively interference time be also delineating
The important evidence of spatial domain size.
In modernized war, Cyberspace has become the 5th space fought between ourselves and the enemy.Effectively to enhance " four is anti-"
Ability, enemy often use Radar Netting Technique to implement region-wide detection to our target area.Prevent to realize successfully to dash forward, dashes forward anti-
Opportunity of combat usually with a certain number of jammer coordinateds.When sending multi-section jammer, if relying only on the experience pair of commander
It carries out spatial domain to delineate being difficult that jammer is made to reach predetermined interference effect, simultaneously because delineating the wave for not causing spatial domain resource finely
Take, the completion of other combat missions may be hindered.
Under situation between ourselves and the enemy, consider the collaboration opportunity of jammer and attack plane, according to enemy radar distribution situation and
Jammer characterstics find the datum mark in spatial domain and combine the relevant parameter of jammer at this end in the command and control region of early warning plane
Rationally delineate the size in spatial domain, it is therefore an objective to using time coordination as foundation, consider the performance and safety of jammer, be specific
Penetration route forms airline safety interval, and opportunity of combat is enable to pass through threateningly band safely according to predetermined penetration route.
Model foundation
Based on above-mentioned problem, consider enemy's radar fence distribution as shown in Fig. 2, Fig. 2 includes radar 11, radar 12, radar
13, anti-opportunity of combat of dashing forward is prevented to by prebriefed pattern dash forward, the Probability maximum for being detected and smashing.It thus will early warning plane at this end
Command and control within the scope of, Reasonable Arrangement jammer simultaneously be its delineate flying area, ensure jammer position locate always
Under the premise of except each portion's radar coverage so that airline safety interval of the penetration fighter relative to every threat radar
More than required minimum airline safety interval, and track spacing is bigger indicates that our the fighter plane probability prevented of successfully dash forward is bigger.
The key that spatial domain delineates is that the selection of spatial domain datum mark, the present invention choose jammer and discharge the conduct of the location of interference moment
The datum mark in spatial domain, as long as jammer disclosure satisfy that above-mentioned requirements at this, then any position within effective interference time
It can meet the requirements.According to above-mentioned theory, jammer spatial domain datum mark model foundation is as follows：
The constraints that model should meet is：
(1) jammer inherently safe constrains：Spatial domain i.e. where jammer must be except the investigative range of each radar
(2) command and control range constraint：I.e. the spatial domain of jammer must be at this end within early warning plane command and control region
xj∈[xmin,xmax],yj∈[ymin,ymax]
(3) prominent anti-opportunity of combat security constraint：The airline safety interval formed after interfering must satisfy needed for anti-opportunity of combat most
Small airline safety interval di≥dmin
Wherein, diFor the compacting interference anti-course line of processus aboralis and i-th of threat radar route personal distance；λ1Indicate airline safety
The weight at interval, λ2Indicate the weight of jammer and radar network composite central point, and λ1+λ2=1；xj0,yj0For j-th of jammer
The transverse and longitudinal coordinate of spatial domain datum mark, xj,yjFor j-th of jammer spatial domain transverse and longitudinal coordinate；xi,yiFor the center transverse and longitudinal of i-th of radar
Coordinate, [xmin,xmax],[ymin,ymax] for the command and control range of our early warning plane；x0,y0It is sat for the transverse and longitudinal at radar fence center
Mark,
The actual size in jammer spatial domain is calculated by following three formula after the position that spatial domain datum mark is determined.
R=v2/(g×tanγ) (5)
L=vt+2R (6)
D=2R (7)
Wherein, R is turning radius, and v is the speed of jammer, and g is acceleration of gravity, and γ is the turning gradient, and L is that spatial domain is long
Degree, t are effective interference time, and D is spatial domain width.
Refined Hook Jeeves algorighm
Optimization algorithm (Grey Wolf Optimization, GWO) is that Mirjalili et al. put forward in 2014[14],
The leader's level and hunting mechanism of the algorithm simulation.The algorithm principle is simple, arithmetic speed is fast, adjusting parameter is few, convergence
It is good, it has been widely used in every field, but has been easily trapped into local optimum.Therefore, the present invention is by using Nonlinear Adjustment
Parameter improves its global search performance, at the same introduce memory function balance because using Nonlinear Adjustment parameter due to lead to speed of searching optimization
Slack-off situation.
Basic GWO algorithms
The Social Grading of division is simulated with the good and bad degree solved the problems, such as in optimization algorithm, preferred plan is considered as α wolves,
Second and third best solution be respectively designated as β wolves and δ wolves, other candidate solutions are assumed ω wolves.In α
It under the leading of wolf, quarters a prey and moves closer to, after prey specific location to be determined, assume a ring of encirclement and be gradually reduced range,
Finally implement attack.
During hunting, wolf pack updates position according to following formula,
Wherein, t indicates current iteration number,WithIt is coefficient of concordance vector,It is the position vector of prey,It indicates
Position vector,For adjustment parameter,WithIt is the vector in random [0,1].
Since the position of the prey in algorithm operational process is unknowable (i.e. optimal solution), according to Social Grading, it is believed that α,
β, δ are more nearly prey position, therefore group can be updated according to the position of α, β, δ：
Improvement strategy
In the introduction above, it can be seen that adjustment parameterIt is most important for the operation of entire algorithm.WhenWhen larger,
Algorithm searches that plain step-length is big, and ability of searching optimum is strong；WhenWhen smaller, Algorithm Convergence is good.Due toIn an iterative process from 2 lines
It is reduced to property 0, this control mode may be absorbed in local optimum[18], it is therefore desirable to introduce Nonlinear Adjustment parameter.
Speed of searching optimization can be reduced in view of introducing Nonlinear Adjustment parameter simultaneously, therefore using the memory in particle cluster algorithm
Function enhances speed of searching optimization, then has：
For the random number in [0,1], c1For adjustment factor.For the optimum position point passed through in history.
Improve GWO algorithm steps
According to the spatial domain datum mark found of the present invention, the step of improving GWO algorithms, is as follows：
Step 1：Determine initial spatial domain datum mark number, maximum iteration, dimension and the upper bound and lower bound, adjustment parameter
And parameter initialization is carried out, enable t=1；
Step 2：Initial spatial domain datum mark is randomly selected, the airline safety interval of each spatial domain datum mark is calculated；
Step 3：Differentiate whether population meets three constraints in 2.2 sections, it is negative nothing that its fitness is enabled if being unsatisfactory for
Thoroughly, return to step 2；Otherwise according to formula (4), the fitness value of each population is calculated, record fitness arranges the optimal of first three
Fitness value spatial domain datum mark corresponding with its is (α, β, δ)；
Step 4:Enable t=t+1
Step 5:According to formula (16), (9), (10) update
Step 6：According to formula (12)~(14), α, the position of β, δ are updated；
Step 7：According to according to the position of formula (17) update spatial domain datum mark；
Step 8：Judge whether to reach maximum iteration, if so, algorithm terminates, exports optimal result, otherwise return
Step 4；
Particular flow sheet is as shown in Figure 3.
Simulation example is analyzed
Assuming that the coordinate for threatening 1,2,3 is respectively (120,120), (200,50), (115,0)；The threat parameter of radar and
The parameter of jammer derives from document 19：Pt=4500kW, Gt=40dB, θ0.5=4 °, Pj=200kW, Gj=20dB, rj=
0.5,Kj=0.5, V=500km/h, γ=20 °.The flying speed for anti-opportunity of combat of dashing forward is 900km/h.In order to reduce calculation amount, recognize
It is consistent identical using the model of jammer with us for each portion's radar parameter of enemy.
Initial situation is analyzed：Fig. 4 is the undisturbed investigative range of radar, wherein blue line segment is dashed forward anti-opportunity of combat for us
Preset course line, green dot are the position for threatening radar, and red circle is the investigative range of radar, our early warning plane commander is controlled
Region processed is 250 × 250km, as magenta inclusion region.If not taking jamming countermeasure, anti-opportunity of combat of dashing forward is detected and is hit
The probability ruined is very big.
According to aforementioned theoretical and situation of battlefield, in order to obtain the penetration route Safe width of at least 10km, we uses
Two frame jammers carry out it " one-to-one " interference.Optimal spatial domain datum mark is found using GWO algorithms are improved.
Emulation 1：It is as follows to improve the setting of GWO algorithm initial parameters：Dim=4, initial population number SearchAgents_no
=50, maximum iteration Max_iter=100, λ1=0.9, λ2=0.1, bound is respectively -100 and 150.And with base
This GWO algorithms and particle cluster algorithm (PSO) compare.Emulation is programmed the comparison diagram that can obtain Fig. 5 using Matlab language,
And the data of Fig. 6 schematic diagrames and table 1.
As shown in Figure 5, refined Hook Jeeves algorighm (IGWO) is better than the optimizing effect of original optimization algorithm, it is not easy to be absorbed in part
It is optimal.Meanwhile convergence rate is very fast.No matter IGWO is superior to particle cluster algorithm (PSO) in optimizing effect and convergence rate.It fills
Fission has revealed the superiority of improved optimization algorithm.
Table 1
By analogous diagram 6 it is found that Fig. 6 includes jammer 14, jammer 15, to reach the specific purpose of operation, make anti-war of dashing forward
Bucket machine can fly by prebriefed pattern, our jammer should give datum mark and the flight of spatial domain parameter according to table 1.According to given
Scheme, it is ensured that the airline safety interval of penetration fighter and each portion's radar be satisfied by needed for minimum airline safety between
Every, and the spatial domain size delineated is more much smaller than the range of previous electronic warfare spatial domain (100~150) × (80~100) km.
While ensureing interference effect, spatial domain range is greatly reduced, has achieved the purpose that efficient, flexible use of airspace resource.
Emulation 2：λ1=0.2, λ2=0.8, remaining parameter constant, emulation is programmed using Matlab language can obtain Fig. 7
With the data of table 2.
Table 2
By analogous diagram 7 it is found that passing through enhancement coefficient λ2, before ensureing to meet minimum safety interval needed for penetration fighter
It puts, the safety for fully ensuring that jammer itself may be implemented at a distance from radar fence center in the appropriate jammer that adjusts.This also body
Show commander and more focuses on jamming equipment protection.
It is the preferred embodiment of the present invention above, it is noted that for those skilled in the art,
Various improvements and modifications may be made without departing from the principle of the present invention, these improvements and modifications also should be regarded as this
The protection domain of invention.
Claims (2)
1. a kind of electronic jammers spatial domain based on refined Hook Jeeves algorighm delineates method, which is characterized in that the method is specifically wrapped
It includes：
Step 1：According to jammer spatial domain benchmark point model, determine initial spatial domain datum mark number, maximum iteration, dimension with
And the upper bound and lower bound, adjustment parameter simultaneously carry out parameter initialization, enable t=1；
Step 2：Initial spatial domain datum mark is randomly selected, the airline safety interval of each spatial domain datum mark is calculated；
Step 3：Differentiate whether population meets three constraints,
Constraint 1：Jammer inherently safe constrains：Spatial domain i.e. where jammer must be except the investigative range of each radar；
Constraint 2：Command and control range constraint：I.e. the spatial domain of jammer must be at this end within early warning plane command and control region；
Constraint 3：Prominent anti-opportunity of combat security constraint：The airline safety interval formed after interfering must satisfy the minimum needed for anti-opportunity of combat
Airline safety interval；
It is to bear infinite, return to step 2 that its fitness is enabled if being unsatisfactory for；Otherwise according to formula one, each population is calculated
Fitness value, record fitness arrange adaptive optimal control angle value the spatial domain datum mark i.e. α, β, δ corresponding with its of first three；
Wherein, diFor the compacting interference anti-course line of processus aboralis and i-th of threat radar route personal distance；λ1Indicate airline safety interval
Weight, λ2Indicate the weight of jammer and radar network composite central point, and λ1+λ2=1；xj0,yj0For j-th of jammer spatial domain
The transverse and longitudinal coordinate of datum mark；
Step 4:Enable t=t+1；
Step 5:According to formula two, formula three, formula four, update respectively
Wherein, t indicates current iteration number,WithIt is coefficient of concordance vector,For adjustment parameter,WithIt is random [0,1]
In vector；
Step 6：According to formula five, formula six, formula seven, α, the position of β, δ are updated respectively；
Step 7：According to according to the position of the update spatial domain datum mark of formula eight；
Wherein,For the random number in [0,1], c1For adjustment factor.For the optimum position point passed through in history；
Step 8：Judge whether to reach maximum iteration, if so, algorithm terminates, exports optimal result, otherwise return to step
4。
2. the electronic jammers spatial domain based on refined Hook Jeeves algorighm delineates method as described in claim 1, which is characterized in that institute
It states and constrains 1, constraint 2, constraint 3 in method in step 3 respectively according to formula ten, formula 11, the judgement of formula 12；
xj∈[xmin,xmax],yj∈[ymin,ymax] formula 11
di≥dminFormula 12
Wherein, xj,yjFor j-th of jammer spatial domain transverse and longitudinal coordinate；xi,yiFor the center transverse and longitudinal coordinate of i-th of radar, [xmin,
xmax],[ymin,ymax] for the command and control range of our early warning plane；x0,y0For the transverse and longitudinal coordinate at radar fence center,
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| CN111427017A (en) * | 2020-04-22 | 2020-07-17 | 北京航天长征飞行器研究所 | Interference resource allocation method and device |
| CN114444398A (en) * | 2022-02-08 | 2022-05-06 | 扬州宇安电子科技有限公司 | Grey wolf algorithm-based networking radar cooperative interference resource allocation method |
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