CN108594793A - A kind of improved RBF flight control systems fault diagnosis network training method - Google Patents

A kind of improved RBF flight control systems fault diagnosis network training method Download PDF

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Publication number
CN108594793A
CN108594793A CN201810341117.4A CN201810341117A CN108594793A CN 108594793 A CN108594793 A CN 108594793A CN 201810341117 A CN201810341117 A CN 201810341117A CN 108594793 A CN108594793 A CN 108594793A
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gene
population
crossover
rbf
formula
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陈小平
万鹏
李翔
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University of Electronic Science and Technology of China
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University of Electronic Science and Technology of China
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B23/00Testing or monitoring of control systems or parts thereof
    • G05B23/02Electric testing or monitoring
    • G05B23/0205Electric testing or monitoring by means of a monitoring system capable of detecting and responding to faults
    • G05B23/0259Electric testing or monitoring by means of a monitoring system capable of detecting and responding to faults characterized by the response to fault detection
    • G05B23/0275Fault isolation and identification, e.g. classify fault; estimate cause or root of failure
    • G05B23/0281Quantitative, e.g. mathematical distance; Clustering; Neural networks; Statistical analysis
    • 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
    • G06N3/086Learning methods using evolutionary algorithms, e.g. genetic algorithms or genetic programming

Abstract

The invention belongs to aircraft fault diagnosis technology fields, and in particular to a kind of improved RBF flight control systems fault diagnosis network training method.The present invention uses based on training sample initialization population, carries out crossover operation to network parameter gene based on differential evolution operator and arithmetic crossover operator:Based on training sample initialization population:In initialization of population, the neuronal center of RBF networks is initialized using training sample, network hidden neuron number and radial base extend the method that constant uses random initializtion.Crossover operation based on differential evolution operator and arithmetic crossover operator:In crossover operation, to the crossover operation of network parameter Gene Partial on the basis of the arithmetic crossover operator of generally use, differential evolution operator is used with certain probability, the parameter gene of offspring individual is made to obtain more rich diversity.

Description

A kind of improved RBF flight control systems fault diagnosis network training method
Technical field
The invention belongs to aircraft fault diagnosis technology fields, and in particular to a kind of improved RBF flight control systems failure is examined Circuit network training method.
Background technology
The failure of core system of the flight control system as aircraft, system unit not only affects the property of flight control system Can, can also be that the flight safety of aircraft brings great threat, intelligent Fault Diagnosis Technique, which is applied to aircraft, flies control system In the fault diagnosis of system, auxiliary flight crew excludes flight control system failure in time, improves craft preservation efficiency, ensures aircraft Safe flight, be currently have there is an urgent need to research contents.
The common method of fault diagnosis of flight control system has the fault diagnosis based on model, and the failure based on signal processing is examined Disconnected and Knowledge based engineering fault diagnosis.
Fault diagnosis based on model is a kind of mathematical model diagnosing object by foundation, is output in by model practical defeated Go out to calculate system residual error, by analyzing residual error to make a kind of method for diagnosing faults of level diagnosis to failure.But fly The row device dynamical system complicated as one, many relevant mathematical models of component are difficult often to establish, and residual error amount is also It can be interfered by many noises so that the application range of such method is limited by very large.
Method based on signal processing is that a kind of signal model by analyzing measurand completes the side of fault diagnosis Method, commonly the method based on signal model have wavelet analysis method, principle component analysis etc..But the failure letter that such methods utilize It ceases relatively simple, the uncertain problem in fault diagnosis can not be solved, cause to the diagnosis capability of complex fault relatively It is weak.
Knowledge based engineering method for diagnosing faults is a kind of independent of mathematical model, and fault diagnosis knowledge is used by study The method for completing fault diagnosis.Common Knowledge based engineering method for diagnosing faults has:Method based on expert system, based on fuzzy The method of logic, the method based on grey relational grade, the method for case-based reasioning, is based on information at the method based on rough set The method of fusion, the method based on artificial neural network, the method based on Bayesian network, the method based on fault tree and base In the method etc. of support vector machines.Knowledge based engineering method for diagnosing faults since it does not depend on accurate mathematical model, so its The scope of application is wider, but the acquisition of knowledge often influences the key factor of its performance of fault diagnosis.
Method for diagnosing faults based on RBF neural is a kind of common Knowledge based engineering method for diagnosing faults, Solve that there is preferable effect in complex fault diagnosis.The performance of fault diagnosis of RBF neural is mainly by its training algorithm It influences, common training algorithm has the training algorithm based on the center that randomly selects, the training algorithm based on clustering algorithm, based on ladder Spend the training algorithm of descent method, the training algorithm based on Orthogonal Least Square, the training algorithm based on evolution algorithm.Pass rank something lost Propagation algorithm is one kind in evolution algorithm, because the hierarchical structure of its chromosome can indicate simultaneously RBF networks network structure and Network parameter and while training requires relatively low and is widely used in the training of RBF networks to the priori of data, but because Genetic algorithm belongs to heuristic search algorithm, and the algorithm training time is caused to be lengthened significantly compared to other non-evolutionary training algorithms, Its application in RBF network trainings is constrained, traditional hierarchy genetic algorithm generally comprises parameter coding, initial population is set Six elements, the initial population such as fixed, fitness function design, genetic manipulation design, control parameter setting, constraints affect Iterations, that is, run time of algorithm, traditional passs rank training algorithm generally use random initializtion in initialization of population Mode;Selection, intersection and variation constitute genetic manipulation, and wherein crossover operation is hierarchy genetic algorithm enhancing population diversity Primary operational, optimizing ability, iterations important to algorithm.
Invention content
The purpose of the present invention proposes a kind of improved RBF flight control systems fault diagnosis network instruction aiming at the above problem Practice method.
The technical solution adopted in the present invention is:
A kind of improved RBF flight control systems fault diagnosis network training method, as shown in Figure 1, including the following steps:
S1, initialization:
In initialization of population, the neuronal center of RBF networks, network hidden nodes are initialized using training sample Mesh and radial base extend constant using random initializtion, and specific method is:
S11, it is encoded to passing rank chromosome, passs rank chromosome structure by control gene and corresponding parameter gene It constitutes, as shown in Fig. 2, it is table to RBF network parameters that the control gene, which is the expression to RBF network structures, parameter gene, It reaches;Binary coding is used to control gene, real coding is used to parameter gene, wherein the corresponding base in 1 position of control gene Because of the neuron of current network, the parameter gene of control is the parameter of corresponding neuron;
S12, initialization population use the extension constant component of control gene and parameter gene the side of random initializtion Formula initializes the radial base neuronal center part of parameter gene using training sample;
S2, RBF net structure:
S21, chromosome decoding construction hidden layer, by passing the decoding of rank chromosome, obtaining the hidden neuron of RBF networks Number, neuronal center and extension constant;
S22, hidden layer output is calculated by decoding the hidden layer obtained, and then RBF networks is calculated using least square method Hidden layer and output layer connection weight, obtain complete RBF networks;
S3, the fitness that RBF networks are calculated by following formula:
Wherein, N indicates that sample number, n indicate that input dimension, M are hidden layer neuron number, and a, b, d are that constant controls The balance of neural network accuracy and complicated network structure degree,For the corresponding network output of i-th of sample, yiFor desired output;
Determined whether to stop genetic evolution according to the maximum iteration of setting, fitness function desired value, if so, knot Beam simultaneously exports RBF network parameters, if it is not, then entering step S4;
S4, selection:
Selection operation is carried out to population using roulette operator, obtains population of new generation, specific method is:
S41, the adaptive value summation F for seeking all chromosomes in populationsum
S42, one 0 is randomly generated to FsumBetween random number k;
S43, sequentially add up each chromosome adaptive value since No. 1 chromosome, until adding up and being greater than or equal to random number K, it is the individual chosen to be eventually used for cumulative chromosome;
S5, intersection:
The crossover probability of population is calculated according to formula 2:
In formula 2, fmaxFor the maximum adaptation angle value of population, favgFor the average fitness value of population, f' expressions are handed over Larger adaptive value, P in fork two individuals of operationc1、Pc2For constant, it is generally respectively set to 0.9,0.6, it can be according to particular problem Do further modification;
Crossover operation is carried out to parameter gene using differential evolution operator shown in formula 3 with probability value ρ:
In formula 3, A represents difference and intersects the new individual generated, and B, C, D indicate to carry out three of difference crossover operation Body, F are that difference intersects the factor, the constant that β intervals are 0.1 to 0.6, gmaxFor maximum iteration, g is current iteration time Number;
Remaining individual carries out arithmetic crossover operation by formula 4:
In formula 4, E, F are two individuals that crossover operation is participated in arithmetic crossover operator, and E', F' are newly generated Body;
Crossover operation is carried out using single-point crossover operator to control Gene Partial, i.e., randomly chooses one in controlling gene and hands over Vent is set, and the gene after two individual crossover locations to participating in crossover operation carries out;
S6, variation:
The mutation probability that population is calculated according to formula 5 uses basic bit mutation to control Gene Partial, i.e., chooses one at random Position, inversion operation is carried out to it:
In formula 5, fmaxFor the maximum adaptation angle value of population, favgFor the average fitness value of population, f is indicated into row variation The fitness value of operator, Pm1、Pm2For constant, it is generally respectively set to 0.1,0.001, can be done according to particular problem into one The modification of step;
Real number mutation operator is used to parameter gene, as shown in formula 6:
X'=X ± △ (6)
In formula 6, X is the object of mutation operation, and X' is object after variation, and △ is random variation step-length, value range It is related with the value range of variable;
Return to step S2.
Beneficial effects of the present invention, which are that method of the invention uses, is based on training sample initialization population, improves initialization The average fitness of population shortens the training time of algorithm, and differential evolution operator enhancing kind is introduced in the crossover operation of algorithm The diversity of group improves the optimizing ability of algorithm to inhibit the precocity of population.
Description of the drawings
Fig. 1 is the flow diagram of the present invention;
Fig. 2 is to pass rank chromosome structure schematic diagram.
Specific implementation mode
Technical scheme of the present invention is described in detail in Summary, generally speaking, the present invention adopts Network parameter gene is intersected with based on training sample initialization population, based on differential evolution operator and arithmetic crossover operator Operation:
Based on training sample initialization population:In initialization of population, the nerve of RBF networks is initialized using training sample First center, network hidden neuron number and radial base extend the method that constant uses random initializtion;
Crossover operation based on differential evolution operator and arithmetic crossover operator:In crossover operation, to network parameter gene Partial crossover operation uses differential evolution operator on the basis of the arithmetic crossover operator of generally use, with certain probability, makes The parameter gene of offspring individual obtains more rich diversity.

Claims (1)

1. a kind of improved RBF flight control systems fault diagnosis network training method, which is characterized in that include the following steps:
S1, initialization:
In initialization of population, using training sample initialize RBF networks neuronal center, network hidden neuron number and Using random initializtion, specific method is radial base extension constant:
S11, it is encoded to passing rank chromosome, passs rank chromosome structure by control gene and corresponding parameter gene structure At, the control gene be the expression to RBF network structures, parameter gene it is expression to RBF network parameters;To controlling gene Using binary coding, real coding is used to parameter gene, wherein the corresponding gene in 1 position of control gene is current network Neuron, the parameter gene of control are the parameter of corresponding neuron;
S12, initialization population, to control gene and parameter gene extension constant component by the way of random initializtion, The radial base neuronal center part of parameter gene is initialized using training sample;
S2, RBF net structure:
S21, chromosome decoding construction hidden layer, by passing the decoding of rank chromosome, obtaining the hidden nodes of RBF networks Mesh, neuronal center and extension constant;
S22, hidden layer output is calculated by decoding the hidden layer obtained, and then the hidden of RBF networks is calculated using least square method Connection weight containing layer and output layer obtains complete RBF networks;
S3, the fitness that RBF networks are calculated by following formula:
Wherein, N indicates that sample number, n indicate that input dimension, M are hidden layer neuron number, and a, b, d are that constant controls network The balance of precision and complicated network structure degree,For the corresponding network output of i-th of sample, yiFor desired output;
Determined whether to stop genetic evolution according to the maximum iteration of setting, fitness function desired value, if so, terminating simultaneously RBF network parameters are exported, if it is not, then entering step S4;
S4, selection:
Selection operation is carried out to population using roulette operator, obtains population of new generation, specific method is:
S41, the adaptive value summation F for seeking all chromosomes in populationsum
S42, one 0 is randomly generated to FsumBetween random number k;
S43, sequentially add up each chromosome adaptive value since No. 1 chromosome, until adding up and being greater than or equal to random number k, most It is the individual chosen to be used for cumulative chromosome afterwards;
S5, intersection:
The crossover probability of population is calculated according to formula 2:
In formula 2, fmaxFor the maximum adaptation angle value of population, favgFor the average fitness value of population, f' expressions carry out intersection behaviour Make adaptive value larger in two individuals, Pc1、Pc2For constant;
Crossover operation is carried out to parameter gene using differential evolution operator shown in formula 3 with probability value ρ:
In formula 3, A represents difference and intersects the new individual generated, and B, C, D indicate to carry out three individuals of difference crossover operation, F Intersect the factor, the constant that β intervals are 0.1 to 0.6, g for differencemaxFor maximum iteration, g is current iteration number;
Remaining individual carries out arithmetic crossover operation by formula 4:
In formula 4, E, F are two individuals that crossover operation is participated in arithmetic crossover operator, and E', F' are newly generated individual;
Crossover operation is carried out using single-point crossover operator to control Gene Partial, i.e., randomly chooses one in controlling gene and intersects position It sets, the gene after two individual crossover locations to participating in crossover operation carries out;
S6, variation:
The mutation probability that population is calculated according to formula 5 uses basic bit mutation to control Gene Partial, i.e., chooses one at random, Inversion operation is carried out to it:
In formula 5, fmaxFor the maximum adaptation angle value of population, favgFor the average fitness value of population, f indicates to carry out mutation operation The fitness value of individual, Pm1、Pm2For constant;
Real number mutation operator is used to parameter gene, as shown in formula 6:
X'=X ± △ (6)
In formula 6, X is the object of mutation operation, and X' is object after variation, and △ is random variation step-length, value range and change The value range of amount is related;
Return to step S2.
CN201810341117.4A 2018-04-17 2018-04-17 A kind of improved RBF flight control systems fault diagnosis network training method Pending CN108594793A (en)

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CN110060692A (en) * 2019-04-19 2019-07-26 山东优化信息科技有限公司 A kind of Voiceprint Recognition System and its recognition methods
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CN110458039A (en) * 2019-07-19 2019-11-15 华中科技大学 A kind of construction method of industrial process fault diagnosis model and its application
CN112418411A (en) * 2020-12-16 2021-02-26 安徽三禾一信息科技有限公司 Air brake system fault diagnosis based on RBF neural network

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CN110458039A (en) * 2019-07-19 2019-11-15 华中科技大学 A kind of construction method of industrial process fault diagnosis model and its application
CN112418411A (en) * 2020-12-16 2021-02-26 安徽三禾一信息科技有限公司 Air brake system fault diagnosis based on RBF neural network

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Application publication date: 20180928