CN109582040A - Unmanned aerial vehicle cluster formation and performance vulnerability assessment method and system - Google Patents

Unmanned aerial vehicle cluster formation and performance vulnerability assessment method and system Download PDF

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CN109582040A
CN109582040A CN201910077285.1A CN201910077285A CN109582040A CN 109582040 A CN109582040 A CN 109582040A CN 201910077285 A CN201910077285 A CN 201910077285A CN 109582040 A CN109582040 A CN 109582040A
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cluster
unmanned plane
formation
performance
fragility
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CN109582040B (en
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段晓君
张江东
毛紫阳
邓娟
龙汉
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National University of Defense Technology
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    • G05CONTROLLING; REGULATING
    • G05DSYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
    • G05D1/00Control of position, course, altitude or attitude of land, water, air or space vehicles, e.g. using automatic pilots
    • G05D1/10Simultaneous control of position or course in three dimensions
    • G05D1/101Simultaneous control of position or course in three dimensions specially adapted for aircraft
    • G05D1/104Simultaneous control of position or course in three dimensions specially adapted for aircraft involving a plurality of aircrafts, e.g. formation flying

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Abstract

The invention provides an unmanned aerial vehicle cluster formation and performance vulnerability assessment method and system. Comprises the following steps of 1: acquiring information of an unmanned aerial vehicle cluster; step 2: constructing an improved control model of the unmanned aerial vehicle cluster; and step 3: combining the improved control model of the unmanned aerial vehicle cluster in the step 2, and constructing a formation evaluation function of the cluster according to the formation driving force; and 4, step 4: calculating the vulnerability of the cluster formation to interference; according to the method, the reaction degree of the cluster to different interferences is reflected by quantifying the vulnerability degree of the formation and the vulnerability degree of the cluster performance, so that the cluster nodes are improved in a targeted manner during cluster design, and the task completion efficiency of the unmanned aerial vehicle cluster is improved.

Description

A kind of unmanned plane cluster formation and performance vulnerability assessment method and system
Technical field
The invention belongs to unmanned plane cluster overall performance evaluation areas more particularly to a kind of unmanned plane cluster formations and performance Vulnerability assessment method and system.
Background technique
In recent years, small-sized, inexpensive unmanned plane cluster receives significant attention, and compares with single unmanned plane, multiple no-manned plane Cluster all has a clear superiority in terms of flexibility, fault-tolerance, collaborative, task, so the application of unmanned plane cluster It is more and more extensive, such as there are the show of unmanned plane light, express delivery dispatching, Fight Fire in Forest, personnel to search and rescue in civil field, in military field Carried out investigations, interfered with unmanned plane cluster, rounded up and hunt, bombed, dash forward it is anti-etc..Currently, how to analyze nobody for unmanned plane cluster Survival ability, the communication technology, clustered control, overall performance of machine cluster etc. are unmanned air vehicle technique forward position focus of attention.
In unmanned plane cluster overall performance analytical technology, the focus such as stability, reliability, survivability, toughness have Difference.As stability study system has preferable anti-interference ability to the fluctuation of itself;Reliability consideration under the defined conditions, System completes the ability of predetermined function, more to consider that faults itself influences;What survivability was studied is the anti-strike capability of system;And Tough Journal of Sex Research is the recovery capability of system after disturbed components of system as directed, attack or damage.These performances are mostly from complexity at present The angle of network is explored, such as document [1] of the complex network survivability model under the conditions of imperfect information " Wu J, Deng H- Z,J TanY,et al.Vulnerability of complex networks under intentional attack With incomplete information [M] .40.2007:2665. " and document [2] " Wu J, Deng H-Z, TanY-J, et al.Attack Vulnerability of Complex Networks Based on Local Information[M] .21.2007:1007-1014. described in ", classical random failure and deliberately attack are two special cases of the model.Document [1] and Document [2] has gone out any degree distribution broad sense random network under the conditions of imperfect information using probability generating function method analytic derivation Survivability metric parameter, proposition establish the optimal challenge model of complex network under the conditions of imperfect information, utilize probability mother's letter Counting method analytic derivation has gone out the optimal attack strategies of scales-free network under the conditions of imperfect information.Document [3] " Tran H T.A complex networks approach to designing resilient system-of-systems[D].Georgia Institute of Technology, 2015. " have studied and how rationally to be weighed with indexs such as system recovery time and system performances Measure the toughness of complex networks system.Although unmanned plane cluster can be regarded as a complex network, the spy of the two plus communication It puts or distinguishing, there are also formation and distinctive kinetics models in addition to having the characteristics that network for unmanned plane cluster, therefore directly Unmanned plane cluster is assessed with the correlated performance of complex network can not be fully described its most crucial feature.At present directly to nothing In contrast it is the field for comparing blank that man-machine cluster integrally carries out comprehensive vulnerability analysis, and then the present invention comprehensively considers Complex network, formation, the kinetic character of unmanned plane cluster give a kind of vulnerability assessment method of unmanned plane cluster and are System.
The dynamic fundamental models of self-organizing unmanned plane cluster dynamic performance very widely used at present are Cuker- Smale (CS) model, such as document [4] " Cucker F, Smale S.Emergent Behavior in Flocks [J] .IEEE Transactions on Automatic Control, 2007,52 (5): 852-862. " and document [5] " Cucker F, Smale S.On the mathematics of emergence [M] .2.2007:197-227. " is described.Since CS is because having It is good explanatory, become most practical one of mathematical theory model.Assuming that have the cluster of N frame unmanned plane, CS basic theories control Simulation are as follows:
Wherein xi(t) and viIt (t) is respectively position and speed of i-th of unmanned plane in t moment, constant α is used to measure group Interaction size between middle particle.aijIt (x) is information interchange weight between unmanned plane individual, also referred to as correlation function relies on In the relative position of individual i and individual j, for describing the interaction strength between two unmanned planes.Due in classical CS model Formation, repulsive force and destination driving force are not accounted for, therefore unmanned plane cluster can't be fully described using classics CS model Kinetic model.For the unmanned plane cluster of design, using which kind of communication pattern, which kind of level is hardware technological level reach, Can guarantee unmanned plane cluster have good anti-interference ability, in the cluster in the case where a part of unmanned plane disabler whether Task can also be completed, the most concerned problem of unmanned plane cluster user is become.Therefore the self-organizing power from unmanned plane cluster is needed Angle is learned, overall performance analysis such as vulnerability analysis is carried out to the unmanned plane cluster for forming the execution task formed into columns, so as to Ensure efficiency and success rate that task is completed.
Summary of the invention
The technical problem to be solved by the present invention is to how carry out fragility to the unmanned plane cluster formation and performance that form formation Property analysis, it is ensured that task completes efficiency and success rate, provides the assessment of a kind of unmanned plane cluster formation and performance fragility Method and system.
To solve this problem, the technical scheme adopted by the invention is that:
A kind of appraisal procedure of unmanned plane cluster formation fragility, comprising the following steps:
Step 1: obtain unmanned plane cluster information, including unmanned plane cluster initial number, formation mode, spatial position with And Communication topology;
Step 2: according to the information of acquired unmanned plane cluster, constructing the Controlling model of improved unmanned plane cluster;
Wherein:
Wherein: xi(t) and viIt (t) is respectively position and speed of i-th of unmanned plane in t moment, constant α is used to measure group Interaction size in body between particle, aij(x) be unmanned plane individual between information interchange weight, dependent on unmanned plane individual Relative position between i and individual j, for describing the interaction strength between two unmanned planes.bijIndicate cluster evolution process Repulsion force coefficient between middle unmanned plane, C indicate a distance constant, when the distance between unmanned plane be less than the value, then they Between there are repulsive forces.N indicates unmanned plane number, | | | | indicate 2 norms of vector, ε is a normal number, and value is usually small In 0.5, F (xi) it is formation driving force, β and γ are respectively repulsive force and destination driving force, and θ is unmanned plane individual speed direction With the direction of destination angular separation angular bisector, value is [0, π], and β and γ are that constant indicates system to this two dependences Degree usually takes respectivelyWith 1.
Step 3: in conjunction with the improvement Controlling model of the unmanned plane cluster of step 2, according to formation driving force F (xi) specific shape The formation valuation functions of formula building cluster:
Wherein Exp indicates that natural number e is the power function at bottom,Indicate the ideal position of the i-th frame unmanned plane t moment, it is ideal Position is determined according to the formation mode of cluster by model (2)-(4);The formula is only applicable to unmanned plane cluster, and only one is logical The scene of letter connection subset, this communication connection subset is exactly cluster entirety at this time, if cluster has multiple communication connection subsets, Then the formation assessment f of cluster entirety is calculated by following (6) formula:
Wherein n* indicates the number of connection subset, kiIndicate the ratio of i-th of connection total unmanned plane number of subset unmanned plane number Zhan Example, fiIt indicates i-th of connection subset formation assessment of cluster, is calculated by formula (5), the N in formula (5) is equal to the connection at this time Unmanned plane number in subset.The set that the communication connection subset is made of the unmanned plane that can be in communication with each other,
Step 4: the fragility of following formula computing cluster formation reply interference is passed through according to the information of acquisition;
Rf=(fh-fmin)(fh-fl) (7)
Wherein fhCluster formation assessed value before indicating interference, fminIndicate cluster be interfered after formation assessed value most Small value, flIndicate cluster be interfered stablize after formation assessed value, fh、fmin、flIt is calculated by formula (5) and (6).
Consideration unmanned plane cluster formation mode is circular case, at this point, the formation in step 2 drives force function are as follows:
Wherein R is round formation convergence radius,In geometry for the unmanned plane individual in the same communication connection subset The heart, the set that the communication connection subset is made of the unmanned plane that can be in communication with each other.
Similarly, when unmanned plane cluster formation mode is round, valuation functions are as follows:
Formation vulnerability assessment is carried out according to unmanned plane cluster formation vulnerability assessment method the present invention also provides a kind of System, comprise the following modules:
Cluster information obtain module: by radar obtain unmanned plane cluster information, including unmanned plane cluster initial number, Formation mode, spatial position and Communication topology;
Clustered control module: unmanned plane cluster information acquired in module is obtained by cluster information, constructs unmanned plane The Controlling model of cluster;
Cluster formation evaluation module: the unmanned plane clustered control model exported according to clustered control module, to cluster formation Assessment, and export assessed value;
Formation fragility computing module: module is obtained by cluster information for different formation interference and obtains cluster Spatial positional information and Communication topology calculate the formation assessed value under disturbance, then calculate the fragile journey of cluster It spends and exports.
Performance vulnerability assessment is carried out using unmanned plane cluster formation vulnerability assessment method the present invention also provides a kind of Method, comprising the following steps:
S1: the vulnerability analysis factor of a communication connection subset is constructed according to formation valuation functions (5) formula:
wi=ckifi (10)
Wherein k is that the quantity of unmanned plane in communication network connection subset accounts for the ratio of unmanned plane quantity in unmanned plane cluster, c For constant, indicate that the cluster of analysis factor influences intensity;
S2: the performance function of cluster one connection subset is constructed according to the vulnerability analysis factor;
Wherein η is the Performance Strength of cluster, controls the overall variation of clustering performance;The performance function of cluster entirety then can table It is shown as:
Wherein n*Indicate the quantity of connection subset.
S3: unmanned plane cluster is calculated to the performance fragility of interference by following (13) formula:
Rp=(ph-pmin)(ph-pl) (13)
Wherein: phClustering performance value before indicating interference, pminAfter indicating that cluster is interfered, the minimum of clustering performance value Value, plIndicate cluster be interfered stablize after performance number.ph、pmin、plIt is calculated by formula (11), (12).
Performance vulnerability assessment is carried out using unmanned plane clustering performance vulnerability assessment method the present invention also provides a kind of System, comprise the following modules:
Cluster information obtain module: by radar obtain unmanned plane cluster information, including unmanned plane cluster initial number, Formation mode, spatial position and Communication topology;
Clustered control module: unmanned plane cluster information acquired in module is obtained by cluster information, constructs unmanned plane The Controlling model of cluster;
Cluster formation evaluation module: the unmanned plane clustered control model exported according to clustered control module, to cluster formation Assessment, and export assessed value;
Clustering performance computing module: the formation assessed value computing cluster performance exported according to cluster formation evaluation module is crisp Weak property analysis factor, then according to clustering performance function computing cluster performance number;
Clustering performance fragility computing module: different interference is inputted by cluster information and obtains module acquisition cluster Spatial position and Communication topology, then by the calculated clustering performance value of above-mentioned each module institute, according to fragility Function is calculated to calculate the performance fragility under disturbance and export.
Compared with prior art, beneficial effect obtained by the present invention is:
The present invention provides a kind of unmanned plane cluster formation and performance vulnerability assessment method and system, by obtaining nobody The formation information and Communication topology of machine cluster are connected to subset structure, based on classics CS model constructions it is improved nobody Machine group system kinetic model, and then formation valuation functions and performance are constructed according to the concrete form of formation driving force Then valuation functions calculate unmanned plane cluster formation and performance fragility by providing different interference, and then obtain collection The vulnerability assessment of group, the present invention keep degree and cluster property retention degree to embody cluster to different dry by quantization formation The extent of reaction disturbed, to targetedly be improved to clustered node in clustering design, to improve unmanned plane cluster Task completes efficiency.
Detailed description of the invention
Fig. 1 is cluster formation Vulnerability Evaluation System figure;
Fig. 2 is clustering performance Vulnerability Evaluation System figure;
Fig. 3 is the communication topology network of unmanned plane cluster in example;
Fig. 4 is unmanned plane cluster formation assessment under the backbone node failure conditions of different number;
Fig. 5 is unmanned plane clustering performance assessment under the backbone node failure conditions of different number;
Fig. 6 is unmanned plane cluster formation assessment under the backbone node failure conditions of different location;
Fig. 7 is unmanned plane clustering performance assessment under the backbone node failure conditions of different location.
Specific embodiment
Fig. 1 to Fig. 7 shows the specific of the appraisal procedure of a kind of unmanned plane cluster formation of the present invention and performance fragility Embodiment.The present embodiment is illustrated using unmanned plane cluster formation mode as circle, specifically includes the following steps:
A kind of appraisal procedure of unmanned plane cluster formation fragility, comprising the following steps:
Step 1: obtain unmanned plane cluster information, including unmanned plane cluster initial number, formation mode, spatial position with And Communication topology;
Step 2: according to the information of acquired unmanned plane cluster, constructing the Controlling model of unmanned plane cluster;
Wherein:
Wherein: xi(t) and viIt (t) is respectively position and speed of i-th of unmanned plane in t moment, constant α is used to measure group Interaction size in body between particle, aij(x) be unmanned plane individual between information interchange weight, dependent on unmanned plane individual Relative position between i and individual j, for describing the interaction strength between two unmanned planes.bijIndicate cluster evolution process Repulsion force coefficient between middle unmanned plane, C indicate a distance constant, when the distance between unmanned plane be less than the value, then they Between there are repulsive forces.N indicates unmanned plane number, | | | | indicate 2 norms of vector, ε is a normal number, and value is usually small In 0.5, F (xi) it is formation driving force, β and γ are respectively repulsive force and destination driving force, and θ is unmanned plane individual speed direction With the direction of destination angular separation angular bisector, value is [0, π], and β and γ are that constant indicates system to this two dependences Degree usually takes respectivelyWith 1,It is described logical for the geometric center of the unmanned plane individual in the same communication connection subset The set that letter connection subset is made of the unmanned plane that can be in communication with each other, when only one communication connection subset in cluster It waits, entire cluster one formation;There are when multiple disconnected communication connection subsets after cluster is interfered, every height Collect one formation of each self-forming to form into columns, therefore hereIt is described as in the geometry of unmanned plane individual of the same communication connection subset The heart because the individual in cluster could cooperate with when only there is information interchange, be only connected to according to place the geometric center of subset come Determine driving force.
Step 3: in conjunction with the improvement Controlling model of the unmanned plane cluster of step 2, according to F (xi) concrete form construct cluster Formation valuation functions:
Wherein Exp is indicated using natural number e as the power function at bottom,It indicates the ideal position of the i-th frame unmanned plane t moment, manages Think that position is determined according to the formation mode of cluster by clustered control model (2)-(4);
In the present embodiment, as shown in figure 3, unmanned plane cluster formation mode is circle, then using round formation valuation functions:
Wherein Abs indicates absolute value;It can certainly be assessed using formula (5), only use formula (9) specific aim By force, accuracy is some higher.
When cluster has multiple connection subsets, the formation assessment f of cluster entirety is calculated by following (6) formula:
Wherein n* indicates connection subset quantity, kiIndicate connection subset ratio, fiIndicate that the formation of a connection subset is commented Estimate, calculated by above-mentioned (9) formula, the N in (9) indicates the unmanned plane number in connection subset at this time.
Step 4: passing through the fragility of following formula computing cluster formation reply interference;
Rf=(fh-fmin)(fh-fl) (7)
Wherein fhCluster formation assessed value before indicating interference, fminIndicate cluster be interfered after formation assessed value most Small value, flIndicate cluster be interfered stablize after formation assessed value, fmin、flValue be after cluster is interfered, according to collection The spatial position of group and Communication topology information use formula (5) or formula (6) assessed value calculated, because the present embodiment uses Round formation, so f in the present embodimentmin、flIt is calculated using formula (9) and formula (6).
Assessment of this example also directed to unmanned plane clustering performance fragility, comprising the following steps:
S1: the vulnerability analysis factor of one communication connection subset of cluster is constructed according to formation valuation functions:
wi=ckifi (10)
Wherein kiThe ratio of unmanned plane quantity in unmanned plane cluster is accounted for for the quantity that communication network is connected to unmanned plane in subset, K when only one connection subseti=1, c are that constant indicates that cluster influences intensity, and c takes 1 in the present embodiment, but can be according to data The reasonability of statistics or final vulnerability assessment result is adjusted;
S2: the performance function of cluster one connection subset is constructed according to the vulnerability analysis factor;
Wherein η is the Performance Strength of cluster, controls the overall variation of clustering performance;The performance of cluster entirety passes through following formula meter It calculates:
S3: according to formation valuation functions building interference to the fragility function of unmanned plane clustering performance;
Rp=(ph-pmin)(ph-pl) (13)
Wherein: phClustering performance value before indicating interference, pminAfter indicating that cluster is interfered, the minimum of clustering performance value Value, plIndicate cluster be interfered stablize after performance number.pmin、plCluster information after being interfered according to cluster uses formula (11), (12) are calculated.
Formation vulnerability assessment is carried out according to unmanned plane cluster formation vulnerability assessment method the present invention also provides a kind of System, as shown in Figure 1, comprising the following modules:
Cluster information obtain module: by radar obtain unmanned plane cluster information, including unmanned plane cluster initial number, Formation mode, spatial position and Communication topology;
Clustered control module: unmanned plane cluster information acquired in module is obtained by cluster information, constructs unmanned plane The Controlling model of cluster;
Cluster formation evaluation module: the unmanned plane clustered control model exported according to clustered control module, to cluster formation Assessment, and export assessed value;
Formation fragility computing module: module is obtained by cluster information for different formation interference and obtains cluster Spatial positional information and Communication topology calculate the formation assessed value under disturbance, then calculate the fragile journey of cluster It spends and exports.
Performance vulnerability assessment is carried out using unmanned plane clustering performance vulnerability assessment method the present invention also provides a kind of System, as shown in Fig. 2, comprising the following modules:
Cluster information obtain module: by radar obtain unmanned plane cluster information, including unmanned plane cluster initial number, Formation mode, spatial position and Communication topology;
Clustered control module: unmanned plane cluster information acquired in module is obtained by cluster information, constructs unmanned plane The Controlling model of cluster;
Cluster formation evaluation module: the unmanned plane clustered control model exported according to clustered control module, to cluster formation Assessment, and export assessed value;
Clustering performance computing module: the formation assessed value computing cluster performance exported according to cluster formation evaluation module is crisp Weak property analysis factor, then according to clustering performance function computing cluster performance number;
Clustering performance fragility computing module: different interference is inputted by cluster information and obtains module acquisition cluster Spatial position and Communication topology, then by the calculated clustering performance value of above-mentioned each module institute, according to fragility Function is calculated to calculate the performance fragility under disturbance and export.
The interference that 2 backbone, 4 backbone, 6 backbone nodes fail is implemented to unmanned plane cluster, passes through the equipment such as radar Obtain the spatial position after cluster is interfered, communication network is connected to number of subsets information.Then pass through the above method and be Statistics calculates the formation fragility value and performance fragility value in the case of disturbance, and carries out with interference i.e. 0 backbone failure is not carried out Compare, the results are shown in Table 1.Fig. 4, Fig. 5 give under the backbone node failure conditions of different number, and unmanned plane cluster formation is commented Estimate and Performance Evaluation curve.
Cluster formation and performance fragility value after the backbone node failure of 1. different number of table
RfAnd RpIt is more fragile to the interference to be worth bigger expression cluster.From calculated result it can be seen that backbone node failure number is got over More, unmanned plane cluster formation and performance are poorer.A possibility that completion task, is smaller.
Below by unmanned plane cluster implement 2 be connected, 2 dispersion, 4 be connected, 4 dispersion etc. different locations bone The interference of dry node failure calculates unmanned plane cluster formation and Performance Evaluation situation, by the equipment such as radar obtain cluster by Spatial position, communication network after interference are connected to number of subsets information.Then disturbance situation is calculated by the above method Under formation fragility value and performance fragility value, and be compared with interference i.e. 0 backbone being not carried out failing, the results are shown in Table 2. Fig. 6, Fig. 7 give under the backbone node failure conditions of different location, the curve of the assessment of unmanned plane cluster formation and Performance Evaluation Figure.
The backbone node failure interference cluster formation of 2 different location of table and the fragile value of performance
It can be seen that from Tables 1 and 2, as the backbone node of failure increases and more dispersed, cluster formation and performance Fragility value it is bigger, indicate cluster it is stronger to this disturbing reaction, interfere the influence of generation also bigger.Also illustrate simultaneously , backbone node is exactly the tender spots of cluster, therefore should consider that backbone node increases anti-interference ability in the design of cluster, It is just more conducive to cluster in this way and completes set task.
It can be seen that from Fig. 4 and Fig. 5, as the unmanned plane backbone number of failure increases, the formation assessment of cluster and performance Sharply decline, illustrates that communication backbone executes task to unmanned plane cluster and has great influence.It can be seen that from Fig. 6 and Fig. 7, work as failure UAV Communication backbone it is more dispersed when, the formation assessment and performance decline of cluster are more, illustrate nobody under this mode The anti-ability interfered in many ways of a group of planes is weaker.Generally speaking, this communication pattern is more fragile, and the success of task is to communication backbone Anti-interference ability have very strong dependence.
The appraisal procedure and system of unmanned plane cluster formation and performance fragility provided by the present invention, by obtaining nothing The formation information and Communication topology of man-machine cluster communication connection subset structure in other words, according to improved unmanned plane cluster Controlling model calculates out unmanned plane cluster team under different disturbed conditions using formation valuation functions and Performance Evaluation function Shape and performance fragility embody cluster by quantifying to the response situation of disturbance, thus in clustering design Shi Youzhen To being improved to clustered node for property, improves unmanned plane cluster task and complete efficiency.
The above is only the preferred embodiment of the present invention, protection scope of the present invention is not limited merely to above-described embodiment, All technical solutions belonged under thinking of the present invention all belong to the scope of protection of the present invention.It should be pointed out that for the art For those of ordinary skill, several improvements and modifications without departing from the principles of the present invention should be regarded as protection of the invention Range.

Claims (6)

1. a kind of appraisal procedure of unmanned plane cluster formation fragility, it is characterised in that: the following steps are included:
Step 1: obtaining the information of unmanned plane cluster, including unmanned plane cluster initial number, formation mode, spatial position and logical Believe topological structure;
Step 2: according to the information of acquired unmanned plane cluster, constructing the Controlling model of improved unmanned plane cluster;
Wherein
Wherein: xi(t) and viIt (t) is respectively position and speed of i-th of unmanned plane in t moment, constant α is used to measure in group Interaction size between particle, aij(x) be information interchange weight between unmanned plane individual, dependent on unmanned plane individual i and Relative position between individual j, for describing the interaction strength between two unmanned planes, N indicates unmanned plane number, bijIt indicates Repulsion force coefficient during cluster evolution between unmanned plane, C indicates a distance constant, when the distance between unmanned plane is less than The value, then between them there are repulsive force, | | | | indicate 2 norms of vector, ε is a positive constant, and value is usually less than 0.5, F (xi) be formation driving force, β and γ are respectively repulsive force and destination driving force, θ be unmanned plane individual speed direction with The direction of destination angular separation angular bisector, value are [0, π], and β and γ are that constant indicates system to this two dependence journeys Degree, usually takes respectivelyWith 1.
Step 3: according to the Controlling model of unmanned plane cluster improved in step 2 and formation driving force F (xi), construct cluster Formation valuation functions:
Wherein Exp is indicated using natural number e as the power function at bottom,Indicate the ideal position of the i-th frame unmanned plane t moment, ideal bit It sets and is determined according to the formation mode of cluster by model (2)-(4);
When cluster has multiple communication connection subsets, the collection that the communication connection subset is made of the unmanned plane that can be in communication with each other It closes, then the formation valuation functions f of cluster entirety is calculated by formula (6):
Wherein n* indicates the number of connection subset, kiIndicate the ratio of i-th of connection total unmanned plane number of subset unmanned plane number Zhan, fi It indicates i-th of connection subset formation assessment of cluster, is calculated by (5), the N in (5) is equal to nobody in the connection subset at this time Machine number;
Step 4: the fragility of unmanned plane cluster formation reply interference is calculated according to formation valuation functions;
Rf=(fh-fmin)(fh-fl) (7)
fhCluster formation assessed value before indicating interference, fminIndicate the minimum value of formation assessed value after cluster is interfered, flTable Show cluster be interfered stablize after formation assessed value, fh、fmin、flBy in step 3 formula (5) and formula (6) be calculated.
2. the appraisal procedure of unmanned plane cluster formation fragility according to claim 1, it is characterised in that: when unmanned plane collection When group's formation mode is round, formation driving force function in step 2 are as follows:
Wherein R is round formation convergence radius,For the geometric center of the unmanned plane individual in the same communication connection subset.
3. the appraisal procedure of unmanned plane cluster formation fragility according to claim 2, it is characterised in that: when unmanned plane collection When group's formation mode is round, valuation functions:
4. a kind of carry out formation fragility using the described in any item unmanned plane cluster formation vulnerability assessment methods of claim 1-3 Property assessment system, it is characterised in that: comprise the following modules:
Cluster information obtains module: the information of unmanned plane cluster, including unmanned plane cluster initial number, formation are obtained by radar Mode, spatial position and Communication topology;
Clustered control module: unmanned plane cluster information acquired in module is obtained by cluster information, constructs unmanned plane cluster Controlling model;
Cluster formation evaluation module: the unmanned plane clustered control model exported according to clustered control module assesses cluster formation, And export assessed value;
Formation fragility computing module: module is obtained by cluster information for different formation interference and obtains the space of cluster Location information and Communication topology calculate the formation assessed value under disturbance, then calculate the fragility of cluster simultaneously Output.
5. a kind of carry out performance fragility using the described in any item unmanned plane cluster formation vulnerability assessment methods of claim 1-3 Property assessment method, it is characterised in that: the following steps are included:
S1: the performance vulnerability analysis factor of one communication connection subset of cluster is constructed according to formation valuation functions:
wi=ckifi (10)
Wherein k is that the quantity of unmanned plane in communication network connection subset accounts for the ratio of unmanned plane quantity in unmanned plane cluster, and c is normal Number indicates that the cluster of analysis factor influences intensity;
S2: the performance function of a connection subset is constructed according to the performance vulnerability analysis factor;
Wherein η is the Performance Strength of cluster, controls the overall variation of clustering performance;And the performance of cluster entirety then passes through following formula meter It calculates:
S3: unmanned plane cluster is calculated to the performance fragility of interference by formula (13);
Rp=(ph-pmin)(ph-pl) (13)
Wherein: phClustering performance value before indicating interference, pminAfter indicating that cluster is interfered, the minimum value of clustering performance value, pl Indicate cluster be interfered stablize after performance number, ph、pmin、plIt is calculated by (11) and (12) formula.
6. a kind of unmanned plane clustering performance vulnerability assessment method using described in claim 5 carries out performance vulnerability assessment System comprises the following modules:
Cluster information obtains module: the information of unmanned plane cluster, including unmanned plane cluster initial number, formation are obtained by radar Mode, spatial position and Communication topology;
Clustered control module: unmanned plane cluster information acquired in module is obtained by cluster information, constructs unmanned plane cluster Controlling model;
Cluster formation evaluation module: the unmanned plane clustered control model exported according to clustered control module assesses cluster formation, And export assessed value;
Clustering performance computing module: the formation assessed value computing cluster performance fragility exported according to cluster formation evaluation module Analysis factor, then according to clustering performance function computing cluster performance number;
Clustering performance fragility computing module: it inputs different interference and the space that module obtains cluster is obtained by cluster information Position and Communication topology calculate then by the calculated clustering performance value of above-mentioned each module institute according to fragility Function calculates the performance fragility under disturbance and exports.
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CN113625697A (en) * 2021-09-15 2021-11-09 北京航空航天大学 Unmanned aerial vehicle cluster reliability assessment method and system considering task capability change

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