CN103177290B - Identification method for model of ship domain based on online self-organization neural network - Google Patents

Identification method for model of ship domain based on online self-organization neural network Download PDF

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CN103177290B
CN103177290B CN201310116653.1A CN201310116653A CN103177290B CN 103177290 B CN103177290 B CN 103177290B CN 201310116653 A CN201310116653 A CN 201310116653A CN 103177290 B CN103177290 B CN 103177290B
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ship
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CN103177290A (en
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王宁
刘刚健
董诺
汪旭明
孟凡超
孙树蕾
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Dalian Maritime University
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Abstract

The invention provides an identification method for a model of ship domain based on an online self-organization fuzzy neural network. The method comprises the following steps of: selecting a ship safety zone model and determining a function, an input variable and a desired output value of the model of the ship safety zone model; establishing a dynamic fuzzy neural network comprising an input layer, a membership function layer, a T-norm layer and an output layer; training the dynamic fuzzy neural network by a training dataset comprising an input variable and an output value of the model till achieving accuracy requirements; and taking sailing parameters of two corresponding ships as input variables and inputting the input variables into the trained ship safety zone model so as to obtain ship safety areas of the two ships. By adopting the technical scheme, the safety model modified by using the method has better accuracy and higher safety compared with the conventional model of the ship domain.

Description

A kind of discrimination method of the ship domain model based on online self organizing neural network
Technical field
The present invention relates to a kind of modification method of ship domain model, more particularly to it is a kind of based on online self-organizing feature map The discrimination method of the ship domain model of network.
Background technology
Marine intelligent transportation traffic has been increasingly becoming vessel traffic as the important component part of China's science and technology development strategy With the emerging crossing research focus of effective and science fusion.And the research of the individual ship behavior for maritime traffic system, Then it is particularly important.20th century six the seventies, Japan plus rattan [1] propose the concept in navigation safety field so far, Understand in document [2] [3] [4] [5], researcher proposes the navigation safety domain model of various different shapes and sizes. Modern ships have a wide range of applications in field.But, a unified model, the master for causing the problems referred to above cannot be formed all the time Reason is wanted to have:(1)The factor of different navigation environments causes to produce the model of different shapes and sizes;(2)Most model is all Formed according to statistical data or the method for simulation experiment;(3)Existing model is all it can be readily appreciated that but be difficult to be applied to reality In.Document [3] [4] proposes a kind of hexagon ship domain model of complexity, each with ship's speed and ship convolution parameter determination Side size, the model causes the ship in the case of collision prevention to be easy to be optimized its flight path using evolution algorithm, but its complicated journey Degree is higher, and the physics meaning is more ambiguous, is not easy to understand and practical application.[5] provide several with reference to factors such as ship turning performances In the case of ship domain border quantization method, the maneuvering performance of ship is embodied in the method, but moulded dimension and shadow Functional relationship between the factor of sound is artificial given a kind of rough estimation equation.It should be noted that [2] proposition is " transversal Area " model is put together by former and later two semiellipses, is determined by Ship Controling parameter and headway etc., is classical model One of.
On the other hand, fuzzy system, neutral net and fuzzy neural network are fast-developing, and because it has extraordinary forcing Closely, generalization ability, is applied to rapidly in industrial circle.When design fuzzy system, neutral net and fuzzy neural network, it is necessary to Regular number work Hidden nodes are first determined, while the mode learning algorithm of application error back propagation is trained.It is well known that should Method pace of learning is slow, is easily trapped into local minimum point.Therefore, in the urgent need to finding a Fast Learning for real-time application Method.To solve the above problems, researcher proposes dynamic neural network.But D-FNN is suffered from the drawback that:
Dynamic fuzzy neural network(DFNN)It is to use standard gaussian function to divide in the input space, and input in its rule becomes The width of all Gaussian functions of amount is all identical, and this point is generally inconsistent with real, particularly when input variable has Very different operation interval when.
Dynamic fuzzy neural network(DFNN)No matter how its membership function to be distributed, its membership function and fuzzy rule Quantity it is all identical.This causes some membership function overlappings, the fuzzy rule indigestion for extracting.
Dynamic fuzzy neural network(DFNN)In the Gaussian function width of first fuzzy rule randomly select.
Dynamic fuzzy neural network(DFNN)It is middle to there is too many parameter set in advance, and these parameters all lack physics meaning Justice, so as to relatively difficult when these special parameters are selected.For dynamic fuzzy neural network(DFNN)Input quantity must be carried out Normalization and the renormalization of output, will so add intensive, and the time for reaching preferable Approximation effect is long.
Therefore, it is of the invention then a novel intelligent ship is proposed based on " cross-sectional area " model and Self-organized Fuzzy Neural Network The model in oceangoing ship field.
The content of the invention
Proposition for problem above of the invention, and a kind of ship domain based on online self organizing neural network developed The discrimination method of model, with following steps:
- safety of ship regional model is selected, determine function, input variable and the desired output of the model;
- set up the dynamic fuzzy neural network comprising input layer, membership function layer, T- norms layer and output layer;
- using the input variable comprising the model and the training dataset of output valve, to the dynamic fuzzy nerve net Network is trained until reaching required precision;
- by the navigational parameter of two correspondence ships, as the safety of ship region mould that input variable is input into after training is finished Type, obtains the safety of ship region of two ships.
The safety of ship regional model is cross-sectional area model:The model is approximately by former and later two semiellipse splits Into the function of the model is shown below:
Wherein, Rbf、RbaAnd SbThe forward and backward oval radius and transversal radius in region, T are represented respectively90For ship turning 90 Time, D needed for degreeTIt is ambient parameter for tactical diameter, s and t;
Input variable is:Pk=[Lk, Bk, U1 k, U2 k, αk], desired output is:K=1,2......n, U2 kRepresent object ship ship's speed;αkRepresent two ship angles.
Described dynamic fuzzy neural network is specifically included:
Input layer:With multiple nodes, the linguistic variable of one input of each node on behalf;
Membership function layer:With multiple nodes, one membership function of each node on behalf, the membership function uses Gauss Function is expressed as follows:
Wherein, i=1,2......r, j=1,2......u, wherein μijFor xiJ-th membership function, cijIt is xiJth The center of individual Gaussian function, σj Lj RX is represented respectivelyiJ-th membership function left and right width, r is input variable number, and u is to be The total regular number of system, x represents the linguistic variable of an input, x=[x1,x2,......,xi], xiRepresent numbers of the x in i-th dimension Value;
T- norm layers:With multiple nodes, the IF- parts of one possible fuzzy rule of each node on behalf, j-th rule Then it is output as:
Wherein:
Output layer:At least there is a node, each node in this layer represents respectively an output variable, and the output is The superposition of all input signals:
Y is output variable, ωjIt is THEN- parts, for TSK models:ωj0j1jx12jx2,......,+αrjxr, j=1,2 ..., u.
Three independent broad sense self organizing neural networks are built for three variables of cross-sectional area model:
The dynamic fuzzy neural network training is comprised the steps of:
- calculate degree of membership of the data to each center, expectation quality k with asymmetric Gaussian functioneWith can accommodate effectively half Footpath kd, ke=max { emaxβk-1,emin, kd=max { dmaxγk-1,dmin};
- computing system error:||ek| |=| | tk-yk||;Calculate mahalanobis distance:
WhereinAnd find most pony Family name is apart from dmin, find out from the nearest node of the sample;
When(1)||ei| | > ke,dmin> kdWhen, need to increase a fuzzy rule;
(2)||ei||≤ke,dmin≤kdWhen, broad sense self organizing neural network can completely accommodate the data;
(3)||ei||≤ke,dmin> kdWhen, there is broad sense self organizing neural network preferable generalization ability need to only adjust knot Fruit parameter;
(4)||ei| | > ke,dmin≤kdWhen, adjustment covers the RBF nodes of the data and updates result parameter;
- define error rate of descent:
Err is converted to:ERR=[ρ12,…ρu],ERR∈R(r +1)u
Define and calculate the importance of every rule:
Judge:If sigj> ks, then j-th strip rule, wherein k are deletedsIt is the parameter for judging sensitivity to predefine parameter;
- repetition training, until network output error reaches requirement, terminates training, enters when having barrier or other ships When entering the safety of ship field to obtained by the present invention, the data that deck officer can obtain according to the present invention are judging this ship New ship trajectory, it is to avoid collide.
Training is obtained after dynamic fuzzy neural network, and using inspection data collection the performance of dynamic neural network is checked:Respectively To Rbf、RbaAnd SbMake root-mean-square error.
As a result of above-mentioned technical proposal, the present invention is proposing a kind of ship based on online self organizing neural network The discrimination method of domain model, it is proposed that OSFNN, is functionally equivalent to the online Self-Fuzzy nerve of TSK fuzzy systems Network.It is, in principle, that the OSFNN compared with the D-FNN based on symmetrical Gaussian function, based on asymmetric Gaussian function Receive domain to provide more flexible, wider nonlinear transformation to approach in any one nonlinear system, therefore algorithm more Complexity, with more generality;From using for upper, the fuzzy rule that the algorithm is extracted has good intelligibility.It is worth carrying Go out, although OSFNN is more complicated than D-FNN, parameter set in advance required for it is but few than D-FNN, therefore it Implement than D-FNN and be more prone to.Relatively with traditional ship domain model, through the security model of present invention amendment, tool There is more preferable precision, safety is also higher.
Description of the drawings
For clearer explanation embodiments of the invention or the technical scheme of prior art, below will be to embodiment or existing The accompanying drawing to be used needed for having technology description does one and simply introduces, it should be apparent that, drawings in the following description are only Some embodiments of the present invention, for those of ordinary skill in the art, on the premise of not paying creative work, may be used also To obtain other accompanying drawings according to these accompanying drawings.
Fig. 1 is the topology diagram of broad sense self organizing neural network of the present invention
Fig. 2 is the algorithm flow chart of broad sense self organizing neural network of the present invention
Fig. 3 is the cross-sectional area vessel area model that the present invention is adopted
Fig. 4 is R of the present inventionbfNeuronal quantity and the graph of a relation of training set sample size
Fig. 5 is R of the present inventionbfRoot-mean-square error and training set sample size graph of a relation
Fig. 6 is R of the present inventionbaNeuronal quantity and the graph of a relation of training set sample size
Fig. 7 is R of the present inventionbaRoot-mean-square error and training set sample size graph of a relation
Fig. 8 is S of the present inventionbNeuronal quantity and the graph of a relation of training set sample size
Fig. 9 is S of the present inventionbRoot-mean-square error and training set sample size graph of a relation
Specific embodiment
To make purpose, technical scheme and the advantage of embodiments of the invention clearer, with reference to the embodiment of the present invention In accompanying drawing, clearly complete description is carried out to the technical scheme in the embodiment of the present invention:
As shown in Fig. 1-Fig. 9:A kind of discrimination method of the ship domain model based on online self organizing neural network, mainly Comprise the steps:
First, safety of ship regional model is selected, determines function, input variable and the desired output of the model:
The vessel area model for adopting is " cross-sectional area " model, wherein Rbf、RbaAnd SbRepresent respectively region before and after half Footpath and transversal radius, model is determined by equation below:
Wherein, L, B, U represent respectively the length and width and speed T of ship90Time, D for needed for 90 degree of ship turningTTo return Turn diameter, s and t and represent ambient parameter, environment has:Two ships are relative to travel(Stem to stem), two ships travel in opposite directions(Stern is to ship Head), two ships intersect traveling(Ship side is to fore).(The former represents this ship, and the latter represents object ship):
When two fores are correct,
During two ship decussations,
When two ships are end to end,
Then, the dynamic fuzzy neural network comprising input layer, membership function layer, T- norms layer and output layer is set up:
If OSFNN dynamic fuzzy neural networks are divided into four layers(Such as Fig. 1), respectively:Input layer, membership function layer, T- models Several layers, output layer,
Input layer:Each node represents respectively the linguistic variable of an input.
Membership function layer:Each node DGF represents respectively a membership function, and the membership function is with following Gaussian function Represent:
Wherein, i=1,2......r, j=1,2......u, wherein μijFor xiJ-th membership function, cijIt is xiJth The center of individual Gaussian function, σj Lj RX is represented respectivelyiJ-th membership function left and right width, r is input variable number, and u is The total regular number of system.
T- norm layers:Each node in this layer represents respectively the IF- parts in a possible fuzzy rule.
Therefore j-th rule is output as:
Wherein
Output layer:Each node in this layer represents respectively an output variable, if only one of which output node, for list Output, if there is multiple output nodes, for the output of many results, the output is the superposition of all input signals:
Wherein, y is output variable, ωjIt is THEN- parts, for TSK models:ωj0j1jx12jx2,......, +αrjxr, j=1,2 ..., u.
The present invention need to build three independent OSFNN, respectively:
Using the input variable comprising the model and the training dataset of output valve, to the dynamic fuzzy neural network It is trained until reaching required precision:
(1)Calculate degree of membership of the data to each Gauss center with asymmetric Gaussian function, initialization system it is predefined Parameter.Expectation quality ke with can accommodate effective radius kd.
Wherein ke=max { emaxβk-1,emin, kd=max { dmaxγk-1,dmin}。
(2)Computing system error:||ek| |=| | tk-yk||;Calculate mahalanobis distance:
Wherein
And minimum mahalanobis distance is found, find out from the nearest node of the sample.
(3)Judged according to mahalanobis distance:
1. | | ei| | > ke,dmin> kdWhen, need to increase a fuzzy rule.
2. | | ei||≤ke,dmin≤kdWhen, OSFNN can completely accommodate the data.
3. | | ei||≤ke,dmin> kdWhen, there is OSFNN preferable generalization ability need to only adjust result parameter.
4. | | ei| | > ke,dmin≤kdWhen, adjustment covers the RBF nodes of the data and updates result parameter.
(4)Decompose Ψ=PQ, wherein T with equation of linear regression T=Ψ A+E and QR:Desired output vector;A:Quan Xiang Amount;Ψ:Regression matrix;E error vectors;P:Orthogonal matrix, P ∈ Rn*v;Q:Upper triangular matrix, Q ∈ Rv*v
Define error rate of descent:
Err is converted to:ERR=[ρ12,…ρu],ERR∈R(r+1)u
Define and calculate the importance of every rule:
Judge:If sigj> ks, then j-th strip rule is deleted.Repetition training, until network output error reaches requirement, terminates Training.
Inspection data collection is retrieved by model by above-mentioned, for checking the performance of OSFNN dynamic fuzzy neural networks, and Respectively to Rbf、RbaAnd SbMake root-mean-square error, respectively such as Fig. 4, shown in 5,6.
During ship's navigation, to object ship(Possibly into this ship security fields)The R for obtainingbf、RbaAnd SbNumerical value, build new Ship domain.
The above, the only present invention preferably specific embodiment, but protection scope of the present invention is not limited thereto, Any those familiar with the art the invention discloses technical scope in, technology according to the present invention scheme and its Inventive concept equivalent or change in addition, all should be included within the scope of the present invention.

Claims (3)

1. a kind of discrimination method of the ship domain model based on online Self-organized Fuzzy Neural Network, with following steps:
- safety of ship regional model is selected, determine function, input variable and the desired output of the model;
- set up the dynamic fuzzy neural network comprising input layer, membership function layer, T- norms layer and output layer;
- using the input variable comprising the model and the training dataset of output valve, the dynamic fuzzy neural network is entered Row training is until reach required precision;
- safety of ship the regional model for the navigational parameter of this ship being input into after training is finished as input variable, obtains this ship Navigation safety region;
The safety of ship regional model is cross-sectional area model:The model is approximately put together by former and later two semiellipses, should The function of model is shown below:
Wherein, Rbf、RbaAnd SbThe forward and backward oval radius and transversal radius in region, T are represented respectively90For 90 degree of institutes of ship turning Time, the D for needingTIt is ambient parameter for tactical diameter, s and t;
Input variable is:Pk=[Lk, Bk, U1 k, U2 k, αk], desired output is:K=1,2......n, U2 k Represent object ship ship's speed;αkRepresent two ship angles;For this ship's speed
Three independent online self organizing neural networks are built for three variables of cross-sectional area model:
Wherein, L, B, U represent respectively the length and width and speed of ship, and a is ship angle.
2. the identification side of a kind of ship domain model based on online Self-organized Fuzzy Neural Network according to claim 1 Method, is further characterized in that:Described dynamic fuzzy neural network is specifically included:
Input layer:With multiple nodes, the linguistic variable of one input of each node on behalf;
Membership function layer:With multiple nodes, one membership function of each node on behalf, the membership function uses Gaussian function It is expressed as follows:
Wherein, i=1,2......r, j=1,2......u, wherein μijFor xiJ-th membership function, cijIt is xiJ-th The center of Gaussian function, σij Lij RX is represented respectivelyiJ-th membership function left and right width, r is input variable number, and u is to be The total regular number of system, x represents the linguistic variable of an input, x=[x1,x2,......,xi], xiRepresent numbers of the x in i-th dimension Value;
T- norm layers:With multiple nodes, the IF- parts of one possible fuzzy rule of each node on behalf, j-th rule It is output as:
Wherein
Output layer:At least there is a node, each node in this layer represents respectively an output variable, and the output is all The superposition of input signal:
Y is output variable, ωjIt is THEN- parts, for TSK models:ωj0j1jx12jx2,......,+αijxr, j= 1,2 ..., u, αijFor the matrix element in TSK models;
The dynamic fuzzy neural network training is comprised the steps of:
- calculate degree of membership of the data to each Gauss center, expectation quality k with asymmetric Gaussian functioneWith can accommodate effectively half Footpath kd, ke=max { emaxβk-1,emin, kd=max { dmaxγk-1,dmin};
- computing system error:||ek| |=| | tk-yk||;Calculate mahalanobis distance:
WhereinAnd find minimum mahalanobis distance dmin, find out from the nearest GEBF nodes of sample;
When (1) | | ei||>ke,dmin>kdWhen, need to increase a fuzzy rule;
(2)||ei||≤ke,dmin≤kdWhen, broad sense self organizing neural network can completely accommodate the data;
(3)||ei||≤ke,dmin>kdWhen, there is broad sense self organizing neural network preferable generalization ability need to only adjust result ginseng Number;
(4)||ei||>ke,dmin≤kdWhen, adjustment covers the RBF nodes of the data and updates result parameter;
- define error rate of descent:
Decompose Ψ=PQ, wherein T with equation of linear regression T=Ψ A+E and QR:Desired output vector;A:Weight vector;Ψ:Return Return matrix;E error vectors;P:Orthogonal matrix, P ∈ Rn*v;Q:Upper triangular matrix, Q ∈ Rv*v
err∈R1*(r+1)v;Err is converted to:ERR=[ρ12,…ρu],ERR∈R(r+1)*u
Define and calculate the susceptiveness of every rule:
Judge:If sigj>ks, then j-th strip rule, wherein k are deletedsIt is the parameter for judging sensitivity to predefine parameter;
- repetition training, until network output error reaches requirement, terminates training, enters into when having barrier or other ships During resulting safety of ship field, deck officer can judge the new ship trajectory of this ship according to the data for obtaining, and keep away Exempt to collide.
3. the identification side of a kind of ship domain model based on online Self-organized Fuzzy Neural Network according to claim 2 Method, is further characterized in that:Training is obtained after dynamic fuzzy neural network, and using inspection data collection the property of dynamic neural network is checked Energy:Respectively to Rbf、RbaAnd SbMake root-mean-square error, represent the performance of this dynamic fuzzy neural network.
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