CN117852309A - A penetration effectiveness evaluation method based on index hierarchy - Google Patents

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

A penetration effectiveness evaluation method based on index hierarchy

Technical Field

The present invention relates to the field of guidance and control technology, and in particular to a penetration effectiveness evaluation method based on index hierarchy.

Background technique

With the rapid development of modern offensive and defensive game systems and the increasing complexity of offensive and defensive scenarios, the confrontation between missile offense and defense has become increasingly fierce. The evaluation of offensive missile penetration effectiveness plays an important role in the survival of offensive missiles and the completion of missions. However, the indicators relied on by traditional experience and analytical evaluation methods are highly subjective and have a large deviation from the offensive and defensive game effectiveness evaluation in real scenarios. Therefore, it is necessary to propose more objective penetration effectiveness evaluation indicators (position, speed, acceleration and other related quantities), and explain the hierarchical relationship and deep connection between indicators. On this basis, the penetration effectiveness of offensive missiles in actual scenarios is evaluated, and the effectiveness evaluation results are compared and analyzed with the simulation results to obtain the effectiveness and accuracy of the penetration effectiveness evaluation indicators.

Summary of the invention

The purpose of the present invention is to provide a penetration effectiveness evaluation method based on index hierarchy to evaluate the penetration effectiveness of offensive missiles, thereby providing a guiding basis for the selection of their penetration strategies.

To achieve the above object, the present invention provides a penetration effectiveness evaluation method based on index hierarchy, comprising:

Establish an attack and defense game scenario between the attack missile and the interceptor missile, conduct Monte Carlo shooting simulation on both the attack and defense sides, and obtain the attack and defense confrontation simulation results;

Determine a penetration effectiveness evaluation index system based on the attack and defense confrontation simulation results; the penetration effectiveness evaluation index system includes: penetration probability, minimum missile-target distance, interceptor missile maneuvering overload capability, miss amount change rate, relative line of sight angular velocity and missile-target intersection angle;

Conducting a hierarchical analysis on the penetration effectiveness evaluation index system to obtain hierarchical indicators;

Based on the hierarchical indicators, a neural network is used to evaluate the penetration effectiveness.

According to the specific embodiments provided by the present invention, the present invention discloses the following technical effects:

The penetration effectiveness evaluation method based on index hierarchy provided by the present invention constructs a penetration effectiveness evaluation index system, and evaluates the penetration effectiveness after performing hierarchical analysis on it. The present invention can perform hierarchical and systematic evaluation of the penetration effectiveness of offensive missiles from the aspects of multi-dimensional indicators, provide certain guiding significance for actual scenarios, and has great strategic advantages and broad application prospects.

BRIEF DESCRIPTION OF THE DRAWINGS

In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative labor.

FIG1 is a flow chart of a penetration effectiveness evaluation method based on index hierarchy provided by the present invention.

Figure 2 is a schematic diagram of the offensive and defensive game scenario between the attacking missile and the intercepting missile.

Figure 3 is a schematic diagram of the hierarchical analysis of the penetration effectiveness evaluation index system.

Figure 4 is a target shooting speed curve diagram when the offensive missile adopts proportional guidance.

FIG5 is a graph showing the actual value of the penetration probability of an offensive missile and the effectiveness evaluation value.

Figure 6 is a target shooting speed curve diagram when the attacking projectile adopts sliding mode guidance.

FIG. 7 is a graph showing the actual value of the penetration probability of an offensive missile and the effectiveness evaluation value.

Figure 8 is a graph showing the variation of the minimum missile-target distance with the interception point speed (Mach number).

Figure 9 is a graph showing the variation of the missile-target intersection angle with the interception point speed (Mach number).

Figure 10 is a graph showing the rate of change of miss distance as a function of interception point speed (Mach number).

Figure 11 is a graph showing the maneuvering overload capability of the interceptor missile as a function of the interception point speed (Mach number).

Figure 12 is a graph showing the variation of relative line of sight angular velocity with intercept point velocity (Mach number).

Detailed ways

The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

The purpose of the present invention is to provide a penetration effectiveness evaluation method based on index hierarchy to evaluate the penetration effectiveness of offensive missiles, thereby providing a guiding basis for the selection of their penetration strategies.

In order to make the above-mentioned objects, features and advantages of the present invention more obvious and easy to understand, the present invention is further described in detail below with reference to the accompanying drawings and specific embodiments.

As shown in FIG1 , the penetration effectiveness evaluation method based on index hierarchy provided in this embodiment includes:

S1: Establish an attack and defense game scenario between an attacking missile and an intercepting missile, conduct Monte Carlo shooting simulation on both the attacking and defending sides, and obtain the attack and defense confrontation simulation results.

S2: Determine the penetration effectiveness evaluation index system based on the attack and defense confrontation simulation results; the penetration effectiveness evaluation index system includes: penetration probability, minimum missile-target distance, interceptor missile maneuvering overload capability, miss distance change rate, relative line of sight angular velocity and missile-target intersection angle.

S3: Conduct a hierarchical analysis on the penetration effectiveness evaluation index system to obtain hierarchical indicators.

S4: Based on the hierarchical indicators, a neural network is used to evaluate the penetration effectiveness.

Furthermore, step S1 specifically includes:

First, the relative motion equation of the attacking missile and the intercepting missile in the attack and defense game scenario between the attacking missile and the intercepting missile in the line of sight coordinate system is established:

(1)

in, is the relative distance between the attack missile and the interceptor missile;/> It is the relative sight angle between the attack missile and the interceptor missile; /> is the relative line of sight azimuth between the attack missile and the interceptor missile; /> is the relative distance change rate between the attack missile and the interceptor missile; /> is the second-order derivative of the relative distance between the attacking missile and the intercepting missile; /> is the relative change rate of the sight height angle between the attack missile and the interceptor missile;/> is the second-order derivative of the relative sight angle between the attacking missile and the intercepting missile; /> is the rate of change of the relative line of sight azimuth between the attacking missile and the intercepting missile; /> is the second-order derivative of the relative line of sight azimuth between the attacking missile and the intercepting missile; /> is the tangential acceleration of the interceptor missile along the line of sight; /> is the tangential acceleration of the attacking projectile along the line of sight; /> is the normal acceleration of the interceptor missile along the line of sight; /> is the normal acceleration of the attacking projectile along the line of sight; /> is the lateral acceleration of the interceptor missile along the line of sight;/> It is the lateral acceleration of the attacking projectile along the line of sight.

At the same time, the attacking missile adopts proportional guidance law and sliding mode guidance law to attack, while the intercepting missile only adopts proportional guidance law to intercept the attacking missile.

Design the proportional guidance law with landing angle constraint as follows:

(2)

in, is the attacking projectile speed; /> The remaining flight time for proportional guidance; /> is the longitudinal proportional guidance coefficient of the attacking missile;/> is the lateral proportional guidance coefficient of the attacking missile; /> It is the elevation angle of the attacking missile;/> is the ballistic inclination angle; /> is the expected falling angle; /> is the rate of change of the relative distance between the attacking projectile and the fixed target; /> is the line of sight azimuth velocity of the attacking missile.

The sliding mode guidance law with landing angle constraint is designed as:

(3)

in, is the relative position between the attacking projectile and the fixed target;/> is the coefficient of the sliding surface; /> is the line of sight height angular velocity; /> is the line of sight azimuth velocity of the attacking missile; /> is the first coefficient of the sliding mode guidance law;/> is the sliding surface; /> is the second coefficient of the sliding mode guidance law;/> It is the lateral proportional guidance coefficient of the attacking missile.

The designed three-dimensional proportional guidance law for the terminal guidance of the interceptor missile is:

(4)

in, is the interceptor missile proportional guidance coefficient; /> is the relative distance change rate between the attack missile and the interceptor missile; /> is the rate of change of the interceptor missile's sight elevation angle; /> is the rate of change of the interceptor missile’s line of sight azimuth.

Based on the above established scenario, the Monte Carlo method is used to perform interception and target shooting simulation. The specific steps are as follows:

1) Select important interference factors and analyze and determine their probability distribution; select the initial height, speed, and lateral distance of the attacking missile as interference factors, and select the probability distribution as normal distribution.

2) Generate sampling values that conform to the probability distribution law of the interference variable.

3) The sampled values are sent to the attack and defense confrontation mathematical model for flight simulation; in the attack and defense confrontation model, the attack missile flies along the trajectory generated by the terminal guidance, and the interceptor missile first flies along a predetermined program angle, and then switches to terminal guidance flight when approaching the attack missile, and the two conduct confrontation simulation.

4) Statistics are collected for the attack and defense confrontation simulation results; the attack and defense confrontation simulation results are the mean miss amount of the interceptor missile, and the mean miss amount data is counted as the basis for effectiveness evaluation.

Furthermore, step S2 specifically includes:

1) Penetration probability

This indicator directly reflects the penetration capability of the offensive missile, and defines the penetration probability as

(5)

in, is the number of successful penetrations, /> is the total number of penetration simulations. The greater the penetration probability, the higher the probability that the attacking missile can complete the penetration.

The basis for judging whether to penetrate is to see whether the vector miss amount exceeds the killing radius of the interceptor missile. The calculation formula of the vector miss amount is:

(6)

in, is the vector miss distance, /> is the attacking projectile velocity vector, /> is the interceptor missile velocity vector, /> is the attacking missile position vector, /> is the interceptor missile position vector, /> represents the 2-norm.

2) Minimum distance between projectile and target

This indicator further calculates the minimum projectile-target distance based on the first penetration probability indicator. The calculation formula is:

(7)

in, is the difference between the attacking missile and the intercepting missile position vector, /> is the attacking missile position vector, /> is the interceptor missile position vector.

It reflects the impact of the attack missile's velocity change and overload change on the relative motion relationship when the interceptor missile seeker has a fixed sampling frequency, so it reflects the final result of the missile-target motion more deeply than the penetration probability. As an evaluation index, the greater the minimum missile-target distance, the better the penetration effect and the lower the probability of being intercepted, and vice versa.

3) Interceptor missile maneuverability overload capability

This indicator reflects the weighted value of the average overload of the interceptor missile in the terminal guidance phase and the average overload in the last 2 seconds, and shows the average maneuverability of the interceptor missile in the entire terminal guidance phase. As a maneuverability demand evaluation index, in terminal guidance, the greater the longitudinal overload of the interceptor missile, the more maneuver it needs, the higher the maneuverability requirement for the interceptor missile, and the easier it is for the attacking missile to penetrate; conversely, the more difficult it is for the attacking missile to penetrate. In order to better measure the overload demand, the maneuverability overload capability index of the interceptor missile is The calculation formula is designed as follows:

(8)

in Indicates the average overload value during the entire terminal guidance,/> is the weight; /> For the final guidance, the last 2/> The internal overload average value, with a weight of /> . /> The time for the interceptor missile to end terminal guidance, /> is the time element.

4) Off-target amount change rate

This indicator reflects the miss distance change rate of the interceptor missile relative to the attack missile in the final stage of terminal guidance. The miss distance change rate in the last 2 seconds of the terminal guidance stage is used as the evaluation indicator. The derivation process is as follows:

(9)

Then calculate the rate of change of the miss distance in the last 2 seconds, the formula is:

(10)

in, is the rate of change of the attacking projectile velocity vector, /> is the rate of change of interceptor missile velocity vector, /> is the rate of change of the attacking projectile position vector, /> is the rate of change of the interceptor missile position vector, /> is the rate of change of vector miss distance.

The faster the change in the miss distance is, the faster the relative movement speed of the two sides is at the moment of interception, and the more difficult it is for the interceptor missile to intercept.

5) Relative line of sight angular velocity

This indicator reflects the line-of-sight angular velocity of the interceptor missile relative to the attacking missile at the last moment of terminal guidance, and shows the instantaneous maneuverability of the interceptor missile. The calculation formula is:

(11)

The average line of sight angular velocity at the last moment of the terminal guidance phase is used as the evaluation index. The greater the line of sight angular velocity, the greater the maneuver required by the interceptor missile to complete the interception, and the greater the probability of the attacking missile penetrating; otherwise, the smaller the probability.

6) Projectile-target intersection angle

This indicator reflects the angle between the speed of the interceptor missile at the last moment of terminal guidance and the speed of the attacking missile at the interceptor missile. The calculation formula is:

(12)

The missile-target intersection angle is used as the evaluation index. Since the interceptor missile and the attack missile move towards each other, the missile-target intersection angle is greater than 90°. The larger the missile-target intersection angle (the closer to 180 degrees), the straighter the interceptor missile trajectory, so the higher the interception probability, and vice versa.

Furthermore, step S3 specifically includes:

As shown in Figure 3, the above penetration effectiveness evaluation index system can also be divided and classified layer by layer according to the level of tactical and technical tasks. These four levels of division, from macro to micro, from overall to individual, from global to local, progressively express the meaning of the penetration effectiveness evaluation index system and its hierarchical relationship. They are: tactical level indicators, engagement level indicators, ballistic level indicators, and overload level indicators.

The tactical level indicator is a technical indicator that takes into account the overall situation. It refers to the probability of penetration and is also the most direct indicator to determine whether the entire penetration mission is completed. It refers to the situation where the attacking missile breaks through the interceptor missile defense system and is outside the killing radius of the interceptor missile.

The engagement level index is a technical index of the specific position of the attacking missile and the intercepting missile, which refers to the minimum missile-target distance. Compared with the macro index of penetration probability, it is more specific. It takes into account the specific relative position of the attacking missile and the intercepting missile at the sampling frequency of the seeker.

The ballistic index is the technical index of the relative speed between the attacking missile and the intercepting missile, which refers to the intersection angle between the missile and the target and the rate of change of the miss amount, both of which are related to the velocity vector. The intersection angle depends on the velocity and direction of the attacking missile and the intercepting missile, and the rate of change of the miss amount depends on the change of the relative velocity vector between the attacking missile and the intercepting missile.

The overload level index is a technical index of the interceptor missile's maneuvering overload capability, which refers to the interceptor missile's maneuvering overload capability and relative line of sight angular velocity. Both indicators reflect the interceptor missile's maneuvering capability. The interceptor missile's maneuvering overload capability refers to the actual average overload after the interceptor missile enters terminal guidance and the average overload of the last 2 seconds of interception, reflecting the average overload of the interceptor missile; the relative line of sight angular velocity refers to the line of sight angular velocity of the interceptor missile at the last moment, reflecting the instantaneous overload of the interceptor missile.

Furthermore, step S4 specifically includes:

By changing the flight speed of the attacking missile and conducting interception and target shooting simulation, the specific data obtained are shown in Table 1.

Table 1

The neural network fits the underlying factor indicators such as penetration probability, minimum missile-target distance, interceptor missile maneuvering overload capability, miss amount change rate, relative line of sight angular velocity, missile-target intersection angle, etc. to obtain the penetration probability index, which is compared with the penetration probability obtained from the actual simulation to obtain the effectiveness and accuracy of the penetration effectiveness evaluation index.

The following simulation is performed through Matlab and Visual Studio to illustrate the penetration effectiveness evaluation method based on index hierarchy provided by this embodiment.

The simulation parameters are set as follows:

Deployment of offensive missiles: The initial conditions for offensive missiles are selected as cruise at a constant speed of 7 Ma at 0 degrees longitude, 0 degrees latitude, 30 km above the earth's surface for a certain period of time, and when the horizontal distance from the fixed target is 70 km, it enters the terminal guidance phase and strikes the fixed target. The terminal fall angle is selected between -75 degrees and -70 degrees, without being constrained to a fixed value, but all are greater than -70 degrees, satisfying the fall angle constraint.

Fixed target selection: The fixed target is selected at 0 degrees latitude and 3 degrees longitude, 334 km away from the initial position of the attack missile. The fixed target and the trajectory of the attack missile are in the same longitudinal plane. It can be calculated that the horizontal flight distance of the attack missile from the constant altitude constant speed cruise point to the start and end guidance point is 264 km.

Interceptor missile related deployment: The interceptor missile is deployed 22km behind the fixed target, the interception point height is selected as 10km, the initial ballistic inclination angle of launch is 38°, the maximum flight altitude is 20km, and the engine working time is 22s.

Figure 2 is an attack and defense game scenario between an attack missile and an interceptor missile, where the attack missile is in the dive phase and the interceptor missile is launched on the ground for interception. Figure 4 is a Monte Carlo shooting speed curve when the attack missile adopts proportional guidance, which vividly shows the speed deviation during shooting. It can be seen from Figures 5 to 7 that the deviation between the predicted value and the actual value is small through actual shooting, and the penetration effectiveness evaluation index system selected by the present invention can well predict the penetration probability of the attack missile.

Figure 8 is a curve showing the minimum missile-target distance changing with the interception point speed (Mach number). When the attack missile's flight speed increases, the minimum missile-target distance increases, and the penetration effect is better. Figure 9 is a curve showing the missile-target intersection angle changing with the interception point speed (Mach number). When the attack missile's flight speed increases, the missile-target intersection angle decreases, the interceptor missile is in a side-hit state, and the penetration effect is better. Figure 10 is a curve showing the miss amount change rate changing with the interception point speed (Mach number). When the attack missile's flight speed increases, the miss amount change rate increases, the interceptor missile's flight state is in a drastic change, and the penetration effect is better. Figure 11 is a curve showing the interceptor missile's maneuvering overload capability changing with the interception point speed (Mach number). When the attack missile's flight speed increases, the interceptor missile's maneuvering overload capability increases, and the interceptor missile needs greater maneuverability to intercept, and the penetration effect is better. Figure 12 is a curve showing the relative line of sight angular velocity changing with the interception point speed (Mach number). When the attack missile's flight speed increases, the relative line of sight angular velocity increases, the spatial position of the interceptor missile and the attack missile changes drastically, and the penetration effect is better.

The technical features of the above embodiments may be arbitrarily combined. To make the description concise, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

This article uses specific examples to illustrate the principles and implementation methods of the present invention. The above examples are only used to help understand the method and core ideas of the present invention. At the same time, for those skilled in the art, according to the ideas of the present invention, there will be changes in the specific implementation methods and application scope. In summary, the content of this specification should not be understood as limiting the present 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.