CN117852309A - Index layering-based anti-burst performance evaluation method - Google Patents

Index layering-based anti-burst performance evaluation method Download PDF

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CN117852309A
CN117852309A CN202410251189.5A CN202410251189A CN117852309A CN 117852309 A CN117852309 A CN 117852309A CN 202410251189 A CN202410251189 A CN 202410251189A CN 117852309 A CN117852309 A CN 117852309A
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bullet
sight
interception
line
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CN117852309B (en
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丁一波
王浩朋
岳晓奎
代洪华
张栋
胡一繁
肖厚地
陈嵩
安宇飞
李勇
张顺家
孙军
李勰
刘传凯
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Northwestern Polytechnical University
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Abstract

The invention discloses an index layering-based anti-burst performance evaluation method, which relates to the technical field of guidance control and comprises the following steps of: establishing a game scene of attack and defense of an attack bullet and an interception bullet, and performing Monte Carlo targeting simulation on both the attack and the defense to obtain an attack and defense countermeasure simulation result; determining an offensive and defensive efficacy evaluation index system based on an offensive and defensive countermeasure simulation result; performing hierarchical analysis on the outburst prevention performance evaluation index system to obtain a hierarchical index; based on the hierarchical index, the neural network is adopted to evaluate the burst prevention performance. The method can perform hierarchical systematic evaluation on the defense efficacy of the attack bullet from the aspect of multidimensional indexes, provides a certain guiding significance for actual scenes, and has larger strategic advantages and wide application prospect.

Description

Index layering-based anti-burst performance evaluation method
Technical Field
The invention relates to the technical field of guidance control, in particular to an index-layering-based anti-burst performance evaluation method.
Background
With the rapid development of modern attack and defense game systems and the increasing complexity of attack and defense scenes, the fight between missile attack and defense is also more and more vigorous. The evaluation of the effectiveness of the attack bullet prevention plays an important role in the survival and the completion of the task of the attack bullet, however, the index depended on by the traditional experience and analysis evaluation method has stronger subjectivity and larger deviation from the evaluation of the effectiveness of the attack and defense game in the real scene, so that more objective evaluation indexes (relative amounts of position, speed, acceleration and the like) of the effectiveness of the attack and defense are required to be provided, the hierarchical relationship and deep connection among the indexes are explained, the effectiveness of the attack and defense in the real scene is evaluated on the basis, and meanwhile, the effectiveness and the accuracy of the evaluation indexes of the effectiveness of the attack and defense are obtained by comparing and analyzing the effectiveness evaluation result with the simulation result.
Disclosure of Invention
The invention aims to provide an index-layering-based defense performance evaluation method for evaluating the attack and defense performance, so as to provide a guiding basis for the selection of defense strategies.
In order to achieve the above object, the present invention provides a method for evaluating burst performance based on index layering, comprising:
establishing a game scene of attack and defense of an attack bullet and an interception bullet, and performing Monte Carlo targeting simulation on both the attack and the defense to obtain an attack and defense countermeasure simulation result;
determining a defense efficacy evaluation index system based on the attack and defense countermeasure simulation result; the burst performance evaluation index system comprises: the accident prevention probability, the minimum bullet distance, the motor overload capacity of the interception bullet, the change rate of the off-target quantity, the relative line-of-sight angular velocity and the bullet-hole intersection angle;
performing hierarchical analysis on the burst performance evaluation index system to obtain a hierarchical index;
based on the hierarchical index, performing burst prevention performance evaluation by adopting a neural network.
According to the specific embodiment provided by the invention, the invention discloses the following technical effects:
according to the index-layering-based anti-burst performance evaluation method, an anti-burst performance evaluation index system is constructed, and evaluation of anti-burst performance is performed after layering analysis is performed on the anti-burst performance evaluation index system. The method can perform hierarchical systematic evaluation on the defense efficacy of the attack bullet from the aspect of multidimensional indexes, provides a certain guiding significance for actual scenes, and has larger strategic advantages and wide application prospect.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions of the prior art, the drawings that are needed in the embodiments will be briefly described below, it being obvious that the drawings in the following description are only some embodiments of the present invention, and that other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a flowchart of a method for evaluating performance of a defense based on index layering.
Fig. 2 is a schematic diagram of an attack and intercept bomb attack game scenario.
FIG. 3 is a schematic diagram of a hierarchical analysis of a burst performance evaluation index system.
FIG. 4 is a graph of the targeting velocity for an attack projectile using proportional guidance.
Fig. 5 is a graph showing the actual value of the probability of attack and ballistic protection versus the performance evaluation.
Fig. 6 is a graph of the targeting velocity of an attack projectile using slip-form guidance.
Fig. 7 is a graph showing the actual value of the probability of attack and ballistic protection versus the performance evaluation.
Fig. 8 is a graph of minimum eye distance as a function of intercept point velocity (mach number).
Fig. 9 is a graph of bullet intersection angle as a function of intercept point velocity (mach number).
Fig. 10 is a graph of off-target rate of change as a function of intercept point speed (mach number).
Fig. 11 is a graph of intercept bullet maneuver overload capability as a function of intercept point velocity (mach number).
Fig. 12 is a graph of relative angular line of sight velocity as a function of intercept point velocity (mach number).
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
The invention aims to provide an index-layering-based defense performance evaluation method for evaluating the attack and defense performance, so as to provide a guiding basis for the selection of defense strategies.
In order that the above-recited objects, features and advantages of the present invention will become more readily apparent, a more particular description of the invention will be rendered by reference to the appended drawings and appended detailed description.
As shown in fig. 1, the method for evaluating the burst performance based on index layering provided in this embodiment includes:
s1: and establishing a game scene of attack and defense of the attack bullet and the interception bullet, and carrying out Monte Carlo targeting simulation on both the attack and the defense to obtain an attack and defense countermeasure simulation result.
S2: determining an offensive and defensive efficacy evaluation index system based on an offensive and defensive countermeasure simulation result; the burst performance evaluation index system comprises: the accident prevention probability, the minimum bullet distance, the motor overload capacity of the interception bullet, the change rate of the off-target quantity, the relative line-of-sight angular velocity and the bullet-hole intersection angle.
S3: and carrying out hierarchical analysis on the burst performance evaluation index system to obtain a hierarchical index.
S4: based on the hierarchical index, performing burst prevention performance evaluation by adopting a neural network.
Further, the step S1 specifically includes:
firstly, establishing a relative motion equation of an attack bomb and an interception bomb in a game scene of attack and defense of the attack bomb and the interception bomb under a sight coordinate system:
(1)
wherein,the distance between the attack bullet and the interception bullet is relatively; />The angle of the sight line of the attack bullet and the interception bullet is high and low; />The relative line-of-sight azimuth angle of the attack bullet and the interception bullet; />The relative distance change rate of the attack bullet and the interception bullet is set; />A second derivative of the relative distance between the attack bomb and the interception bomb; />The high-low angle change rate of the sight relative to the attack bullet and the interception bullet is achieved; />The second derivative of the high and low angles of the sight relative to the attack bullet and the interception bullet; />The change rate of the relative line of sight azimuth angle of the attack bullet and the interception bullet; />The second derivative of the relative line of sight azimuth of the attack bullet and the interception bullet; />Tangential acceleration along the line of sight for intercepting the bullet; />Tangential acceleration along the line of sight for an attack projectile; />To intercept the normal acceleration of the bullet along the line of sight; />Normal acceleration along the line of sight for an attack projectile; />Lateral acceleration along the line of sight for the interception bomb; />Lateral acceleration along the line of sight for an attack projectile.
Meanwhile, the attack bullet adopts a proportional guiding law and a sliding mode guiding law to attack, and the interception bullet only adopts the proportional guiding law to intercept the attack bullet.
The design of the proportional guidance law with the falling point angle constraint is as follows:
(2)
wherein,is the velocity of the attack projectile; />Guiding the remaining flight time for the proportion; />The longitudinal proportional guiding coefficient of the attack projectile; />The lateral proportionality guide coefficient of the attack projectile; />The angle is the high and low angle of the line of sight of the attack bomb; />Is a ballistic dip angle; />Is the desired falling angle; />The relative distance change rate of the attack projectile and the fixed target is set; />Is the azimuth velocity of the line of sight of the attack bomb.
The design of the sliding mode guidance law with the falling point angle constraint is as follows:
(3)
wherein,the relative position of the attack bullet and the fixed target; />Coefficients for the slip plane; />The visual line is high and low angular velocity; />The azimuth speed of the line of sight of the attack bomb; />A first coefficient that is a sliding mode guide law; />Is a sliding die surface; />A second coefficient that is a sliding mode guide law; />The lateral proportionality guide coefficient of the attack projectile.
The three-dimensional proportion guidance law of the terminal guidance of the interception bomb is designed as follows:
(4)
wherein,the ratio guide coefficient is an interception bomb; />The relative distance change rate of the attack bullet and the interception bullet is set; />The high-low angle change rate of the bullet sight is intercepted; />To intercept the angular change rate of the bullet line of sight.
Based on the establishment scene, the Monte Carlo method is adopted to carry out interception targeting simulation, and the specific steps are as follows:
1) Selecting important interference factors and analyzing and determining probability distribution of the important interference factors; the initial height, speed and lateral distance of the attack projectile are selected as interference factors, and probability distribution is selected as normal distribution.
2) Sample values conforming to the probability distribution law of the disturbance variable are generated.
3) Sending the sampling value into an attack-defense countermeasure mathematical model for simulated flight; in the attack and defense countermeasure model, an attack bullet flies along a trajectory generated by terminal guidance, an interception bullet flies along a preset good program angle, and when approaching the attack bullet, the attack bullet shifts to the terminal guidance flight, and the attack and defense countermeasure model and the interception bullet perform countermeasure simulation.
4) Counting the attack and defense countermeasure simulation results; the attack and defense countermeasure simulation result is the mean value of the off-target quantity of the interception bomb, and the data of the mean value of the off-target quantity is counted and then used as the basis of efficiency evaluation.
Further, step S2 specifically includes:
1) Probability of burst prevention
The index directly reflects the anti-burst capability of the attacking bullet, and the anti-burst probability is defined as
(5)
Wherein,for preventing success times, ∈10>Is the total number of the burst prevention simulation. The greater the burst probability, the more likely the burst can be completed by the attacking projectile.
The basis of whether the burst prevention judgment is to see whether the vector off-target quantity exceeds the killing radius of the interception bomb, and the calculation formula of the vector off-target quantity is as follows:
(6)
wherein,for vector off-target amount,/->For the velocity vector of the offensive bullet, < >>To intercept the spring velocity vector, +.>For the offensive location vector, < >>To intercept the bullet position vector, +.>Representing a 2-norm.
2) Minimum elastic distance
The index is based on the first burst prevention probability index, the minimum bullet distance is calculated more deeply, and the calculation formula is as follows:
(7)
wherein,for the difference between the position vectors of the offensive bullet and the interceptor bullet, < >>For the offensive location vector, < >>To intercept the bullet position vector.
The method reflects the influence of the velocity change and overload change of the attack bullet on the relative motion relation when the fixed sampling frequency of the interception bullet guide head, so that the method reflects the final result of the bullet movement more deeply than the accident probability. To go inMinimum distance between the attack and interception bombFor evaluating the index, the larger the minimum bullet distance is, the better the burst prevention effect is, the lower the interception probability is, and the higher the reverse is.
3) Motor overload capability of interceptor spring
The index reflects the weighted value of the average overload of the interception bomb in the terminal guidance section and the average overload of the last 2s, and represents the average maneuverability of the interception bomb in the whole terminal guidance section. To intercept longitudinal overload of the cartridgeAs an evaluation index of maneuvering requirements, in terminal guidance, the larger the longitudinal overload of the interception bomb is, the more maneuvering is needed, the higher the requirement on maneuvering capability of the interception bomb is, and the more the attack bomb is easy to be suddenly prevented; otherwise, the more difficult it is to attack the projectile. To better measure overload demand, the motor overload capacity of the interceptor bomb is +.>The calculation formula is designed as follows:
(8)
wherein the method comprises the steps ofRepresents the average value of overload in the whole terminal guidance, +.>Is the weight occupied; />For final guidance 2%>An average value of the internal overload, the weight of which is +.>。/>Ending terminal guidance time for interception bomb, +.>Is a time infinitesimal.
4) Off-target rate of change
The index reflects the off-target quantity change rate of the final stage of the terminal guidance of the intercepted projectile relative to the attack projectile, takes the off-target quantity change rate of the final 2 seconds of the terminal guidance stage as an evaluation index, and comprises the following deduction processes:
(9)
then calculating the change rate of the off-target amount in the last 2 seconds, wherein the formula is as follows:
(10)
wherein,for the rate of change of the velocity vector of the attack projectile, +.>For intercepting the rate of change of the spring velocity vector, +.>For the attack projectile position vector rate of change, +.>For intercepting bullet position vector rate of change, +.>Is the vector off-target quantity change rate.
The faster the off-target amount changes, the faster the relative movement speed of the two sides at the interception moment, and the more difficult the interception bomb is to intercept.
5) Relative angular velocity of line of sight
The index reflects the line-of-sight angular velocity of the interception bomb relative to the attack bomb at the final moment of terminal guidance, shows the instantaneous maneuverability of the interception bomb, and has the following calculation formula:
(11)
taking the average value of the line-of-sight angular velocity at the last moment of the terminal guidance section as an evaluation index, wherein the larger the line-of-sight angular velocity is, the larger the interception bomb needs to be maneuvered to complete interception, and the larger the probability of attack bomb attack prevention is; the smaller the opposite is.
6) Bullet-eye intersection angle
The index reflects the included angle between the final moment speed of the terminal guidance of the interception bomb and the speed of the attack bomb in the interception bomb. The calculation formula is as follows:
(12)
the bullet mesh intersection angle is used as an evaluation index, and as the interception bullet and the attack bullet move in opposite directions, the bullet mesh intersection angle is larger than 90 degrees, the larger the bullet mesh intersection angle is (the closer to 180 degrees), the flatter the interception bullet trajectory is, so the higher the interception probability is, and the lower the interception probability is otherwise.
Further, the step S3 specifically includes:
as shown in FIG. 3, the above-mentioned anti-accident performance evaluation index system can be further classified and categorized layer by layer according to the level of tactical tasks. The four hierarchical divisions from macroscopic to microscopic, from overall to individual, and from global to local, gradually represent the meaning of the anti-accident performance evaluation index system and the hierarchical relationship thereof. The method comprises the following steps of: tactical level, combat level, ballistic level, overload level.
Tactical index is a global technical index, refers to the burst prevention probability, and is also the most direct index for determining whether the whole burst prevention task is completed. The attack bullet breaks through the defense system of the interception bullet and is positioned outside the killing radius of the interception bullet.
The fight level index is a technical index of specific positions of the attack bullet and the interception bullet, and refers to the minimum bullet distance, and compared with a macroscopic index of the accident prevention probability, the fight level index is more specific. To take into account the specific relative positions of the offensive projectile at the sampling frequency of the seeker and the intercept projectile when in a combat.
The ballistic level index is a technical index of the relative speed of an attack bullet and an interception bullet, and refers to the angle of bullet-target intersection and the change rate of off-target quantity, and the two quantities are related to a speed vector. The angle of the bullet mesh intersection depends on the velocity and direction of the attacking and intercepting bullets, and the rate of change of the off-target amount depends on the relative velocity vector changes of the attacking and intercepting bullets.
The overload level index is a technical index of the maneuvering overload capacity of the interception bomb, and refers to the maneuvering overload capacity and the relative line-of-sight angular speed of the interception bomb, and the two indexes reflect the maneuvering capacity of the interception bomb. The motor overload capacity of the interception bomb refers to the actual average overload of the interception bomb after entering terminal guidance and the average overload of the interception bomb after the last 2 seconds, so that the average overload of the interception bomb is reflected; the relative angular velocity of the sight refers to the angular velocity of the sight at the last moment of the interception bomb, and the instantaneous overload of the interception bomb is reflected.
Further, the step S4 specifically includes:
the specific data obtained by changing the flight speed of the attack projectile and performing interception targeting simulation are shown in table 1.
TABLE 1
The neural network fits the accident prevention probability, the minimum bullet distance, the motor overload capacity of the interception bullet, the target-off quantity change rate, the relative line-of-sight angular velocity, the bullet-eye intersection angle and other bottom factor indexes to obtain the accident prevention probability index, and the accident prevention probability index is compared with the accident prevention probability obtained by actual simulation to obtain the effectiveness and the accuracy of the accident prevention effectiveness evaluation index.
The following describes the method for evaluating the efficacy of the defense based on the index hierarchy provided in this embodiment through simulation by Matlab and Visual Studio.
The simulation parameters were set as follows:
attack bomb related deployment: the initial condition of the selected attack projectile is that the fixed target is hit by cruising at 0 degree longitude and 0 degree latitude, constant speed of 7Ma from the surface of the earth for a certain time, and turning to the terminal guidance stage when the horizontal distance from the fixed target is 70 km. The falling angle of the terminal is selected to be between-75 degrees and-70 degrees, no constraint is a fixed value, but the falling angle is larger than-70 degrees, and the falling angle constraint is met.
Fixed target selection: the fixed target is selected to be 0 degrees latitude and 3 degrees longitude, and is 334km away from the initial position level of the attack bullet, and the fixed target and the trajectory of the attack bullet are in the same longitudinal plane. The horizontal flight distance between the constant-speed cruise point and the initial terminal guidance point of the attack projectile can be calculated to be 264km.
Intercept bullet related deployment: the position of the deployment of the interception bomb is 22km after the target is fixed, the height of an interception point is 10km, the initial ballistic inclination angle of the launching is 38 degrees, the maximum flying height is 20km, and the working time of an engine is 22s.
Fig. 2 is a game scene of an attack bullet and an interception bullet, the attack bullet is in a dive section, and the interception bullet intercepts in ground emission. Fig. 4 is a monte carlo targeting velocity profile for an attack projectile using proportional guidance, visually illustrating the velocity deviation during targeting. From fig. 5 to fig. 7, it can be seen that the deviation between the predicted value and the actual value is smaller through actual targeting, and the attack and defense performance evaluation index system selected by the invention can well predict the probability of the attack and the defense.
Fig. 8 is a graph of minimum eye distance as a function of intercept point speed (mach number), with greater burst effect as the speed of the offensive projectile is increased. Fig. 9 is a graph showing the change of the bullet mesh intersection angle along with the speed (mach number) of the interception point, and when the flying speed of the attack bullet increases, the bullet mesh intersection angle decreases, and the interception bullet is in a side-hit state, so that the burst prevention effect is better. Fig. 10 is a graph showing the change rate of the off-target amount according to the change of the speed (mach number) of the interception point, and when the flying speed of the attack bomb increases, the change rate of the off-target amount increases, and the flying state of the interception bomb is in a severe change, so that the burst prevention effect is better. FIG. 11 is a graph of the mobile overload capability of the interceptor for greater performance as the speed of the offensive projectile increases (Mach number) and greater mobile overload capability is required to intercept the incident as the speed of the offensive projectile increases. Fig. 12 is a graph showing the change of the relative angular velocity of the line of sight with the speed (mach number) of the interception point, and when the flying speed of the attack bullet increases, the change of the spatial positions of the interception bullet and the attack bullet is severe, and the outburst prevention effect is better.
The technical features of the above embodiments may be arbitrarily combined, and all possible combinations of the technical features in the above embodiments are not described for brevity of description, however, as long as there is no contradiction between the combinations of the technical features, they should be considered as the scope of the description.
The principles and embodiments of the present invention have been described herein with reference to specific examples, the description of which is intended only to assist in understanding the methods of the present invention and the core ideas thereof; also, it is within the scope of the present invention to be modified by those of ordinary skill in the art in light of the present teachings. In summary, the present description should not be construed as limiting the invention.

Claims (9)

1. The index layering-based anti-burst performance evaluation method is characterized by comprising the following steps of:
establishing a game scene of attack and defense of an attack bullet and an interception bullet, and performing Monte Carlo targeting simulation on both the attack and the defense to obtain an attack and defense countermeasure simulation result;
determining a defense efficacy evaluation index system based on the attack and defense countermeasure simulation result; the burst performance evaluation index system comprises: the accident prevention probability, the minimum bullet distance, the motor overload capacity of the interception bullet, the change rate of the off-target quantity, the relative line-of-sight angular velocity and the bullet-hole intersection angle;
performing hierarchical analysis on the burst performance evaluation index system to obtain a hierarchical index;
based on the hierarchical index, performing burst prevention performance evaluation by adopting a neural network.
2. The method for evaluating the efficacy of defense on the basis of index layering according to claim 1, wherein the equation of relative motion of the attack bullet and the interception bullet in the attack and defense game scene under the line-of-sight coordinate system is:
wherein,the distance between the attack bullet and the interception bullet is relatively; />The relative distance change rate of the attack bullet and the interception bullet is set; />A second derivative of the relative distance between the attack bomb and the interception bomb; />The angle of the sight line of the attack bullet and the interception bullet is high and low; />The relative line-of-sight azimuth angle of the attack bullet and the interception bullet; />The change rate of the high angle and the low angle of the sight relative to the attack bullet and the interception bullet is set; />The second derivative of the high and low angles of the line of sight of the attack bullet and the interception bullet is obtained; />The change rate of the relative line-of-sight azimuth of the attack bullet and the interception bullet is; />The second derivative of the relative line-of-sight azimuth of the attack bullet and the interception bullet; />Tangential acceleration along the line of sight for intercepting the bullet; />Tangential acceleration along the line of sight for an attack projectile; />To intercept the normal acceleration of the bullet along the line of sight; />Normal acceleration along the line of sight for an attack projectile; />Lateral acceleration along the line of sight for the interception bomb; />Lateral acceleration along the line of sight for an attack projectile.
3. The method for evaluating the efficacy of defense against attack based on index layering according to claim 1, wherein the attack bullet and the interception bullet attack in the game scene adopt a proportional guidance law and a sliding mode guidance law for attack, and the interception bullet adopts a proportional guidance law for intercepting the attack bullet.
4. The method for evaluating the efficacy of defense on the basis of index layering according to claim 3, wherein the expression of the proportional guidance law adopted by the attack projectile is:
wherein,normal acceleration along the line of sight for an attack projectile; />Lateral acceleration along the line of sight for an attack projectile; />Is the velocity of the attack projectile; />Guiding the remaining flight time for the proportion; />The longitudinal proportional guiding coefficient of the attack projectile; />The angle is the high and low angle of the line of sight of the attack bomb; />Is a ballistic dip angle; />Is the desired falling angle; />The lateral proportionality guide coefficient of the attack projectile; />The relative distance change rate of the attack projectile and the fixed target is set; />Is the azimuth velocity of the line of sight of the attack bomb.
5. The method for evaluating the efficacy of defense on the basis of index layering according to claim 3, wherein the expression of the sliding mode guidance law adopted by the attack bomb is:
wherein,normal acceleration along the line of sight for an attack projectile; />Lateral acceleration along the line of sight for an attack projectile; />The relative position of the attack bullet and the fixed target; />Coefficients for the slip plane; />The visual line is high and low angular velocity; />The azimuth speed of the line of sight of the attack bomb; />A first coefficient that is a sliding mode guide law; />Is a sliding die surface; />A second coefficient that is a sliding mode guide law; />The lateral proportionality guide coefficient of the attack projectile; />Is the rate of change of the relative distance of the attacking projectile from the fixed target.
6. The method for evaluating the efficacy of a burst prevention based on index layering of claim 3, wherein the interceptor bomb adopts the expression of a proportional guidance law:
wherein,to intercept the normal acceleration of the bullet along the line of sight; />Normal acceleration along the line of sight for an attack projectile; />Lateral acceleration along the line of sight for the interception bomb; />The ratio guide coefficient is an interception bomb; />The relative distance change rate of the attack bullet and the interception bullet is set; />The high-low angle change rate of the bullet sight is intercepted; />To intercept the angular change rate of the bullet line of sight.
7. The index-based hierarchical synapse of claim 1The efficacy evaluation method is characterized in thatThe calculation formula of (2) is as follows:
wherein,for preventing success times, ∈10>Is the total number of sudden anti-counterfeiting simulation;
minimum elastic distanceThe calculation formula of (2) is as follows:
wherein,for the difference between the position vectors of the offensive bullet and the interceptor bullet, < >>For the offensive location vector, < >>To intercept the bullet position vector;representing a 2-norm;
motor overload capability of interceptor springThe calculation formula of (2) is as follows:
wherein,for the average value of overload in the whole terminal guidance, +.>For final guidance 2%>Mean value of internal overload->Is->Weight of occupied->For intercepting longitudinal overload of cartridge->Ending terminal guidance time for interception bomb, +.>Is a time infinitesimal;
off-target rate of changeThe calculation formula of (2) is as follows:
wherein,for vector off-target amount,/->For the velocity vector of the offensive bullet, < >>To intercept the spring velocity vector, +.>For the rate of change of the velocity vector of the attack projectile, +.>For intercepting the rate of change of the spring velocity vector, +.>For the attack projectile position vector rate of change, +.>For intercepting bullet position vector rate of change, +.>The change rate of the vector off-target quantity is shown as the change rate;
relative angular velocity of line of sightThe calculation formula of (2) is as follows:
wherein,the change rate of the high angle and the low angle of the sight relative to the attack bullet and the interception bullet is set; />The change rate of the relative line-of-sight azimuth of the attack bullet and the interception bullet is;
bullet-eye intersection angleThe calculation formula of (2) is as follows:
8. the method for evaluating the performance of a burst control based on index layering of claim 1, wherein the performing layering analysis on the burst control performance evaluation index system to obtain a layering index specifically comprises:
determining a division level of the burst performance evaluation index system; the division hierarchy includes: tactical level, combat level, ballistic level, and overload level;
and dividing the anti-accident performance evaluation index system according to the division level to obtain a hierarchical index.
9. The index-layering-based defense-efficacy-assessment method according to claim 8, wherein the defense probability is a tactical-level index and the minimum gaze distance is the engagement-level index; the bullet-mesh intersection angle and the off-target quantity change rate are ballistic grade indexes; the motor overload capacity of the interception bomb and the relative line-of-sight angular speed are overload level indexes.
CN202410251189.5A 2024-03-06 2024-03-06 Index layering-based anti-burst performance evaluation method Active CN117852309B (en)

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