CN108985580A - Multirobot disaster based on improved BP searches and rescues method for allocating tasks - Google Patents

Multirobot disaster based on improved BP searches and rescues method for allocating tasks Download PDF

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CN108985580A
CN108985580A CN201810673369.7A CN201810673369A CN108985580A CN 108985580 A CN108985580 A CN 108985580A CN 201810673369 A CN201810673369 A CN 201810673369A CN 108985580 A CN108985580 A CN 108985580A
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task
robot
auctioneer
auction
rescue
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CN108985580B (en
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戴学丰
严浙平
郝冰
张辉
张宏民
赵岩
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Qiqihar University
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q10/00Administration; Management
    • G06Q10/06Resources, workflows, human or project management; Enterprise or organisation planning; Enterprise or organisation modelling
    • G06Q10/063Operations research, analysis or management
    • G06Q10/0631Resource planning, allocation, distributing or scheduling for enterprises or organisations
    • G06Q10/06312Adjustment or analysis of established resource schedule, e.g. resource or task levelling, or dynamic rescheduling
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06NCOMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N3/00Computing arrangements based on biological models
    • G06N3/02Neural networks
    • G06N3/08Learning methods
    • G06N3/084Backpropagation, e.g. using gradient descent
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q10/00Administration; Management
    • G06Q10/06Resources, workflows, human or project management; Enterprise or organisation planning; Enterprise or organisation modelling
    • G06Q10/063Operations research, analysis or management
    • G06Q10/0631Resource planning, allocation, distributing or scheduling for enterprises or organisations
    • G06Q10/06316Sequencing of tasks or work

Abstract

The invention discloses the multirobot disasters based on improved BP to search and rescue method for allocating tasks.When auctioneer does not have enough abilities to complete current search and rescue task, the mode that the use of information of the task is broadcasted is distributed to bidder;Bidder responds according to oneself current state;If bidder is idle or can complete search and rescue task, is made to auctioneer and receive the corresponding of this task;Otherwise, bidder, which will not participate in, this time auctions;If auctioneer does not receive bid during entire auction, auction process terminates;Otherwise, these tender prices will be normalized in auctioneer, and then using improved BP, to treated, tender price is trained.The present invention can effectively be such that critical the wounded is preferentially given treatment to, and method has the robustness to robot fault.Computer Simulation demonstrates the training effect of improved BP.

Description

Multirobot disaster based on improved BP searches and rescues method for allocating tasks
Technical field
The invention belongs to disaster assistance technical fields, are related to a kind of based on improvement BP (Back Propagation) nerve net The multirobot disaster of network searches and rescues method for allocating tasks.
Background technique
The multi-robot system that the present invention is formed with multiple wheeled autonomous mobile robots with search and rescue aid function (multirobot team) is research object, the multi-robot system it is unknown it is toxic, cave in there are radioactive source, structural body etc. Implement life search and rescue in hazardous environment.In this process, the task distribution between robot is that guarantee that critical the wounded obtains excellent First give treatment to and efficiently complete the key of rescue.The method being widely used at present in multi-robotic task distribution specifically includes that market Auction system and its improvement, the method for Behavior-based control, the method based on linear programming etc..The prior art proposes a kind of improved Multiple agent task allocation algorithms based on auction, make it is mutually coordinated between multirobot, in nobody complicated dynamic environment Task is completed in the shortest possible time.The prior art also combines the multirobot of exchange tree on the basis of contract net agreement Coordination approach proposes a kind of multirobot dynamic task allocation algorithm based on Pareto improvement, improves task distribution Efficiency and the time for reducing completion task.The method of Behavior-based control is to find robot-task pair with maximum utility, then The task is distributed into corresponding robot, this method real-time and fault-tolerance are strong;But this method can only obtain local optimum Solution.In the various practical applications based on auction system, when each robot never proposes side (distance, speed, energy consumption respectively Deng) provide multiple tender prices to a certain task when, be difficult to find a fusion with decision-making technique to determine bid victor.
On the other hand, neural network can be used for information fusion.Based on gradient decline BP neural network theory of algorithm according to It is versatile according to solid, but exist be easily trapped into that local minimum, study convergence process be slow and network structure be difficult to it is determining not Foot.Therefore, the BP neural network of application enhancements of the present invention realizes the bid information fusion of robot, and the task from disaster environment It sets out, is devised with the method for allocating tasks of preferential treatment of severe the wounded with roboting features.
Summary of the invention
It is an object of the invention to overcome defect existing in the prior art, propose a kind of based on improved BP Multirobot disaster search and rescue method for allocating tasks.When there is new task to need to complete, auctioneer's release task message first, It is merged, is then realized using contract net agreement auction algorithm more by bid information of the neural network to each robot The task of robot is distributed.Task is found in auction process or is initiated the robot of auction while being used as auctioneer and auction Person, other robots are only bidder.
Its technical solution is as follows:
Multirobot disaster based on improved BP searches and rescues method for allocating tasks, comprising the following steps:
1) each robot of multi-robot system (or multirobot team) starts pair according to the principle of depth-first Environment scans for.
2) when some robot is when set direction finds new rescue task, which is auctioned.The auction machine Device person is auctioneer.
3) auctioneer appoints all robots publication of the mode for the use of information broadcast for needing to complete task into team Be engaged in information, this mission bit stream include the geographical location of the wounded, task deadline for submission of tenders, required by task machine number nc、 The priority etc. of task.
4) each robot in team is all potential bidder, they receive the search and rescue mission bit stream of auctioneer's publication Afterwards, it is responded according to itself current state:
1. participating in submitting a tender if current robot is in idle condition;
2. if current robot is carrying out task, but performed task priority is lower than the task of auction, then It participates in submitting a tender;
3. if current robot is carrying out task, but performed task priority is higher than the task of auction, then It is not involved in bid.
5) conflict if there is auction, then call auction conflict-solving strategy.
6) if the bid machine number that auctioneer receives before auctioning deadline is wanted less than the required by task is completed Machine number, then auction process terminates, which is stored in respective unfinished task list by all robots in team.
7) otherwise, these tender prices will be normalized in auctioneer, then using the improvement BP mind after training The multiple tender prices progress provided through network to the quasi- robot for participating in the task is integrated ordered, selects ncA victor.
8) auctioneer notifies this ncA victor will execute task, send contract to auctioneer after bidder is notified Confirmation message.Otherwise, auctioneer will be considered to bidder because failure and other reasons abandon this task, then from other machines of bid Assessing size according to bid amounts in people successively selects other robots to participate in the task.
9) if auctioneer receives the minimum machine number that contract confirmation message number is greater than the completion required by task, contract It establishes and starts to execute rescue task.
10) if auctioneer receives the minimum machine number that contract confirmation message number is less than the completion required by task, no Contract can be established;The task is stored in by all robots does not complete task list, and idle machine people continues to search for predetermined direction, The robot rescued continues to execute former rescue task.
If 11) contract is established, some robot to receive an assignment is carrying out the lower task of priority, then pause should The task of the lower priority is simultaneously stored in unfinished task list by the task of lower priority.
12) when some robot complete undertaking rescue task after, if do not complete task list be it is empty, turn Step 1);Otherwise, it selects the task of highest priority to be auctioned in not completing task list, goes to step 3).
Further, the auction conflict is a robot 1 during auction task 1 in steps of 5, has been connected to machine At this moment there is the case where two auctioneers fight for idle machine people in the information for the task 2 that people 2 issues in system, in order to avoid There is deadlock, the resolution policy that the present invention takes is the priority that two auctioneers compare two tasks, the high task of priority Continue to distribute, the low task of priority is stored into unfinished task list, the corresponding robot for auctioning high-priority task Auctioneer is served as in subsequent assigning process.
In step 7, the improved BP neural network is referred to and is calculated based on Levenberg-Marquardt (abbreviation L-M) The BP neural network of method, which not only has the local convergence of Gauss-Newton method, but also there are also the global convergences of gradient method Property.If x(k)It is the network weight vector of kth time iteration, kth+1 time weight vector x(k+1)It can be obtained by following formula Are as follows:
x(k+1)=x(k)+Δx(k+1) (1)
In Gauss-Newton method computation rule
Δx(k+1)=-[JT(x)J(x)]-1J(x)e(x) (2)
E (x)=[e in formula1(x) … eN(x)]TIt is output error vector, x represents x herek, do not causing the feelings obscured Superscript is omitted under condition, similarly hereinafter;N is the dimension of neural network output, and J (x) is Jacobian matrix of the error to weight, its meter Calculating formula is
In weight updated value formula (2), J (x)TThere are irreversible situations by J (x), therefore the algorithm is possible to not restrain, To solve this problem, using the right value update of following forms
Δx(k+1)=-[JT(x)J(x)+λI]-1J(x)e(x) (4)
λ is a constant in formula, and I is n × n unit matrix.
The invention has the benefit that
The present invention is a kind of multi-robot Task Allocation based on contract net agreement in conjunction with improved Back Propagation, with Traditional method for allocating tasks is compared, it has advantage following aspects: completing to appoint first is that this method considers robot The multiple parameters being related to when business, such as distance, speed, energy consumption, task priority;Secondly this method is by neural network to each The fusion and sequence of robot bid amounts, can capable of completing to individual machine people for task are allocated, can also be to multiple The task that robot could complete is allocated;Again, integrated ordered to also ensure method for allocating tasks pair proposed by the present invention The robustness of robot fault;Finally, this method is realized each robot and is being rescued by the priority of each task of setting The dynamic for the task of having promised to undertake is adjusted in the process, ensure that the available preferential treatment of the big personnel of injured degree.Traditional BP The neural network deficiency slow there are convergence rate, simulation result show that the training process of improved BP is significantly accelerated.This The fusion problem of multiple bidding parameters can be effectively treated in invention, and the rescue task allocation strategy proposed can guarantee critical the wounded It is given treatment in the shortest time.
Detailed description of the invention
Fig. 1 is task distribution and rescue work flow chart of the auctioneer robot during disaster is searched and rescued;
Fig. 2 is auction conflict-solving strategy;
Fig. 3 is task response and rescue work flow chart of the bidder robot during disaster is searched and rescued;
Fig. 4 is traditional BP neural network training process;
Fig. 5 is based on Levenberg-Marquardt Algorithm BP neural network training process.
Specific embodiment
Technical solution of the present invention is described in more detail with reference to the accompanying drawings and detailed description.
The bid of 1 rescue task is merged with bid information
1.1BP neural network
BP neural network, that is, back-propagating network is a kind of feed-forward type network using error back propagation training algorithm, is One of current most widely used neural network model.The bid information B of multiple robots collectively forms BP nerve net in team The input of network, B=[B1 B2 … BM], Bi(i=1 ..., M) is the tender price of robot i, takes Bi=[di si ei], wherein diFor the shortest distance of robot i to target point, siFor the most fast movement speed of robot i, eiFor current remaining of robot i Electricity, M are the machine numbers for participating in submitting a tender.The present invention use three layers of BP neural network, 15 neurons of input layer, hidden layer 10 Neuron, 5 neurons of output layer;Namely for a task, only receive the bid for responding 5 most fast robots. In order to reduce the complexity of calculating, hidden layer uses unipolarity Log-Sigmoid function, and output layer uses linear function.
1.2 normalization
Influence in order to avoid each input data amplitude difference of BP network and different physical significances to output, to input Data be normalized.When needing input data transforming to [0,1], following formula is used:
When needing to transform to input data [- 1,1], following formula is used:
Wherein, xi(i=1 ..., 15) represents the bid amounts of different robots, xminAnd xmaxDistribution represents all bid amounts In minimum value and maximum value, x 'tIt is the data after normalization, that is, the input value of neural network.
1.3Levenberg-Marquardt BP algorithm
Improved BP neural network refers to the BP nerve net based on Levenberg-Marquardt (abbreviation L-M) algorithm Network, which not only has the local convergence of Gauss-Newton method, but also there are also the global convergences of gradient method.If x(k)It is kth The network weight vector of secondary iteration, kth+1 time weight vector x(k+1)It can be obtained by following formula are as follows:
x(k+1)=x(k)+Δx(k+1) (7)
In Gauss-Newton method computation rule
Δx(k+1)=- [JT(x)J(x)]-1J(x)e(x) (8)
E (x)=[e in formula1(x) … eN(x)]TIt is output error vector, x represents x herek, do not causing the feelings obscured Superscript is omitted under condition, similarly hereinafter;N is the dimension of neural network output, and J (x) is Jacobian matrix of the error to weight, its meter Calculating formula is
In weight updated value formula (2), J (x)TThere are irreversible situations by J (x), therefore the algorithm is possible to not restrain, To solve this problem, using the right value update of following forms
Δx(k+1)=-[JT(x)J(x)+λI]-1J(x)e(x) (10)
λ is a constant in formula, and I is n × n unit matrix.
Neural network needs the data of reason manual construction to be trained before merging for bid information.
The method for allocating tasks of 2 searching rescues
Contract net agreement is one kind of auction algorithm.Three kinds of auction systems primarily now have First-Price sealing Auction, Vickrey auction, Dutch auction.Traditional contracts network protocol uses First-Price sealed auction system, works as auction Person submits to the bid of auctioneer one sealing, and bidder is unknown to the tender price of other bidders at this time.The present invention The task point distribution of multirobot is realized using contract net agreement auction algorithm.The robot of task is found in auction process Or the artificial auctioneer of machine of auction is initiated, the artificial bidder of machine of task may be completed.But there can only be a machine People serves as single auctioneer, while it is also possible to bidder.Task allocation process diagram is as shown in Figure 1.
A kind of multirobot disaster assistance method for allocating tasks based on improved BP is proposed, passes through mind first It is merged through bid information of the network to each robot, multirobot is then realized using contract net agreement auction algorithm Task point distribution.
Its technical solution is as follows:
A kind of multirobot disaster assistance method for allocating tasks based on improved BP, comprising the following steps:
1) each robot of multi-robot system (or multirobot team) starts pair according to the principle of depth-first Environment scans for.
2) when some robot is when set direction finds new rescue task, which is auctioned.The auction machine Device person is auctioneer.
3) auctioneer appoints all robots publication of the mode for the use of information broadcast for needing to complete task into team Be engaged in information, this mission bit stream include the geographical location of the wounded, task deadline for submission of tenders, required by task machine number nc、 The priority etc. of task.
4) each robot in team is all potential bidder, they receive the search and rescue mission bit stream of auctioneer's publication Afterwards, it is responded according to itself current state:
1. participating in submitting a tender if current robot is in idle condition;
2. if current robot is carrying out task, but performed task priority is lower than the task of auction, then It participates in submitting a tender;
3. if current robot is carrying out task, but performed task priority is higher than the task of auction, then It is not involved in bid.
5) conflict if there is auction, then call auction conflict-solving strategy.
6) if the bid machine number that auctioneer receives before auctioning deadline is wanted less than the required by task is completed Machine number, then auction process terminates, which is stored in respective unfinished task list by all robots in team.
7) otherwise, these tender prices will be normalized in auctioneer, then using the improvement BP mind after training The multiple tender prices progress provided through network to the quasi- robot for participating in the task is integrated ordered, selects ncA victor.
8) auctioneer notifies this ncA victor will execute task, send contract to auctioneer after bidder is notified Confirmation message.Otherwise, auctioneer will be considered to bidder because failure and other reasons abandon this task, then from other machines of bid Assessing size according to bid amounts in people successively selects other robots to participate in the task.
9) if auctioneer receives the minimum machine number that contract confirmation message number is greater than the completion required by task, contract It establishes and starts to execute rescue task.
10) if auctioneer receives the minimum machine number that contract confirmation message number is less than the completion required by task, no Contract can be established;The task is stored in by all robots does not complete task list, and idle machine people continues to search for predetermined direction, The robot rescued continues to execute former rescue task.
If 11) contract is established, some robot to receive an assignment is carrying out the lower task of priority, then pause should The task of the lower priority is simultaneously stored in unfinished task list by the task of lower priority.
12) when some robot complete undertaking rescue task after, if do not complete task list be it is empty, turn Step 1);Otherwise, it selects the task of highest priority to be auctioned in not completing task list, goes to step 3).
The course of work and conflict-solving strategy of auctioneer is as depicted in figs. 1 and 2, and the response of bidder and the course of work are such as Shown in Fig. 3.
3 method comparative analyses
Table 1 searches and rescues method for allocating tasks comparison
The multirobot disaster based on improved BP that the invention proposes a kind of searches and rescues method for allocating tasks, and existing Some disaster assistance method for allocating tasks ratios, the Task Assigned Policy that the present invention designs have the following aspects significantly excellent Gesture:
(1) the most important target of operation is exactly to save the life security of the wounded in disaster search and rescue, because each the wounded receives The degree of injury is different, it is necessary to give treatment to critical the wounded preferentially, the present invention is guaranteed by setting task priority method This target priority is realized;
(2) disaster field situation is multifarious, and one robot of some rescue tasks can be completed, and some rescue tasks need Want multiple robot work compounds that can complete, the prior art has ignored this feature, but the present invention can be effectively treated Such case;
(3) rescue site harsh environmental conditions, search and rescue robot failure are may to occur at any time, and of the invention appoints Business allocation strategy can be most suitable robot and substitute to failed machines people, realize designed method to robot event The robustness of barrier;
(4) conventional method is submitted a tender from the difference of benefit and cost, but the conversion factor between benefit and cost It is very dark to determine, it is difficult to ensure that the reasonability submitted a tender, robot also need to consider machine in search operation in order to smoothly complete task The many factors such as the remaining energy of device people, therefore the present invention establishes multi-parameter Bidding system.
(5) share tasks processing the characteristics of being all rescue tasks, conventional method will be apart from as costs, in order to as early as possible Treatment of severe the wounded, the present invention take into account the maximum speed of robot when robot submits a tender to task;
(6) process of the robot discovery task in team has asynchronism and concurrency, and default treatment of the present invention is just It is asynchronism, when multiple robots find different tasks simultaneously, the present invention takes the limited processing of method of priority comparison Critical the wounded gives treatment to the distribution of task.
(7) auction conflict has solution in existing technology, but only simple time delay method, the present invention from Personage's priority set out solution conflict, for life rescue meaning clearly.
The simulation comparison of traditional BP neural network and the BP neural network based on L-M algorithm is carried out below.Emulator: pen Remember this computer, CPU:i5-4210U, memory: 4G, system Windows8.1 professional version, simulation software are Matlab 2015b.It is defeated Enter the bid amounts that data are normalized each robots, wherein the robot that each output neuron corresponds to identical label completes The performance evaluation of the task, the value show more greatly corresponding more advantageous completion task of robot.In Matlab 2015b Using newff function creation BP neural network, network training then is carried out to the data after normalization using train function.It passes System BP neural network algorithm is trained input data using traingd function, and the BP neural network based on L-M algorithm uses Self-editing function is trained, shown in training result Fig. 4, Fig. 5, based on L-M Algorithm BP neural network in training accuracy and instruction It will be better than conventional method in terms of practicing number.
When some robot current search direction find new task after, which is auctioned;Or complete one After task, the task for the highest priority being stored in unfinished task list is auctioned;By auctioneer when auction starts It is released news in the way of broadcast to potential bidder;Bidder is according to oneself current state and undertaking for task Priority respond;If bidder is that the priority of rescue task that is idle or undertaking is lower than times auctioned Business is then made to auctioneer and receives the response of this task and submitted a tender according to current state;Otherwise, bidder will not participate in This time auction.If auctioneer receives bid number before auctioning deadline is less than the minimum robot for completing the required by task Number, then auction process terminates;Otherwise, these tender prices will be normalized in auctioneer, after then using training Improved BP is integrated ordered to bid information progress after processing, and the machine for executing the task is selected according to sequence size People.The present invention can effectively be such that critical the wounded is preferentially given treatment to, and method has the robustness to robot fault.Computer The simulating, verifying training effect of improved BP.
The foregoing is only a preferred embodiment of the present invention, the scope of protection of the present invention is not limited to this, it is any ripe Know those skilled in the art within the technical scope of the present disclosure, the letter for the technical solution that can be become apparent to Altered or equivalence replacement are fallen within the protection scope of the present invention.

Claims (3)

1. the multirobot disaster based on improved BP searches and rescues method for allocating tasks, which is characterized in that including following step It is rapid:
1) each robot of multi-robot system starts to scan for environment according to the principle of depth-first;
2) when some robot is when set direction finds new rescue task, which is auctioned;The auction robot Referred to as auctioneer;
3) auctioneer believes all robot release tasks of the mode for the use of information broadcast for needing to complete task into team Breath;
4) each robot in team is all potential bidder, after they receive the search and rescue mission bit stream that auctioneer issues, According to itself, current state is responded:
1. participating in submitting a tender if current robot is in idle condition;
2. if current robot is carrying out task, but performed task priority is then participated in lower than the task of auction It submits a tender;
3. if current robot is carrying out task, but performed task priority is higher than the task of auction, then does not join With bid;
5) conflict if there is auction, then call auction conflict-solving strategy;
6) if the bid machine number that auctioneer receives before auctioning deadline is less than the machine that the required by task is wanted of completing Device number, then auction process terminates, which is stored in respective unfinished task list by all robots in team;
7) otherwise, these tender prices will be normalized in auctioneer, then using the improvement BP nerve net after training Multiple tender prices progress that network provides the quasi- robot for participating in the task is integrated ordered, selects ncA victor;
8) auctioneer notifies this ncA victor will execute task, send contract confirmation to auctioneer after bidder is notified Information;Otherwise, auctioneer will be considered to bidder and abandon this task because of the reason of failure, then from other robots of bid Assessing size according to bid amounts successively selects other robots to participate in the task;
If 9) auctioneer receives the minimum machine number that contract confirmation message number is greater than the completion required by task, contract is established And start to execute rescue task;
10) if auctioneer receives the minimum machine number that contract confirmation message number is less than the completion required by task, cannot build It concludes a contract;The task is stored in by all robots does not complete task list, and idle machine people continues to search for predetermined direction, The robot of rescue continues to execute former rescue task;
If 11) contract is established, some robot to receive an assignment is carrying out the lower task of priority, then it is lower to suspend this The task of the lower priority is simultaneously stored in unfinished task list by the task of priority;
12) when some robot complete undertaking rescue task after, if do not complete task list be it is empty, go to step 1);Otherwise, it selects the task of highest priority to be auctioned in not completing task list, goes to step 3).
2. the multirobot disaster according to claim 1 based on improved BP searches and rescues method for allocating tasks, It is characterized in that, in step 4, the improved BP refers to the BP nerve net based on Levenberg-Marquardt algorithm Network, if x(k)It is the network weight vector of kth time iteration, kth+1 time weight vector x(k+1)It is obtained by following formula are as follows:
x(k+1)=x(k)+Δx(k+1) (1)
In Gauss-Newton method computation rule
Δx(k+1)=-[JT(x)J(x)]-1J(x)e(x) (2)
E (x)=[e in formula1(x) … eN(x)]TIt is output error vector, x represents x herek, in the case where not causing to obscure Superscript is omitted, similarly hereinafter;N is the dimension of neural network output, and J (x) is Jacobian matrix of the error to weight, its calculating is public Formula is
In weight updated value formula (2), J (x)TThere are irreversible situations by J (x), using the right value update of following forms:
Δx(k+1)=-[JT(x)J(x)+λI]-1J(x)e(x) (4)
λ is a constant in formula, and I is n × n unit matrix.
3. the multirobot disaster according to claim 1 based on improved BP searches and rescues method for allocating tasks, It is characterized in that, in step 3), the task that auctioneer announces includes the geographical location of the wounded, task deadline for submission of tenders, task institute The machine number n neededc, task priority information.
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CN111461488A (en) * 2020-03-03 2020-07-28 北京理工大学 Multi-robot distributed cooperative task allocation method facing workshop carrying problem
CN112070328A (en) * 2019-06-11 2020-12-11 哈尔滨工业大学(威海) Multi-water-surface unmanned search and rescue boat task allocation method with known environmental information part
CN112862270A (en) * 2021-01-20 2021-05-28 西北工业大学 Individual task selection method, device and system for distributed multiple robots
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