CN112098605A - High-robustness chemical sensor array soft measurement method - Google Patents
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Abstract
A high-robustness chemical sensor array soft measurement method relates to the technical field of gas detection equipment, aims at the problem that a traditional chemical sensor array soft measurement model in the prior art is poor in accuracy, and comprises the following steps: dividing a chemical sensor array into g sub-sensor arrays, wherein the number of various sensors in the chemical sensor array is consistent; step two: collecting output signals of each sub-sensor array to form a training sample set; step three: performing feature extraction on the training sample of each sub-sensor array by using a principal component analysis method to obtain a feature set of each sub-sensor array; step four: training a regression model of the sub-sensor array by using the feature set; step five: and measuring the measurement sample by using the trained regression model of each sub-sensor array, and selecting the median of the measurement result of the regression model of each sub-sensor array as the final measurement result.
Description
Technical Field
The invention relates to the technical field of gas detection equipment, in particular to a high-robustness chemical sensor array soft measurement method.
Background
The electronic nose system consists of a set of chemical sensors with partial specificity and an appropriate pattern recognition method, and can recognize and analyze simple or complex odors. The electronic nose system collects data of gas/smell through the chemical sensor array to form a training sample set and constructs a mode recognition model by utilizing the training sample set. The test gas/odor samples can be identified and analyzed according to the model. At present, the electronic nose system is widely applied to the fields of public safety, medical diagnosis, flammable and combustible detection, environmental pollution monitoring, food safety and the like.
Most of the research of the related scholars at present focuses on research on signal processing methods and pattern recognition techniques. Meanwhile, related scholars also apply different types of sensors to electronic nose systems, such as sensors of conductive polymers, metal oxides, surface acoustic waves, quartz crystal microbalances and the like. With the continuous expansion of the application field of the electronic nose system, the reliability of the system and the accuracy of an analysis result are of great importance under the long-term working condition. As the chemical sensor realizes the response to the target gas through complex physical and chemical reactions, the measurement quality of the chemical sensor array is reduced along with the aging of the gas sensitive element and the degradation of a circuit in the long-term use process. The fault of the chemical sensor can cause the response signal of the sensor array to generate mutation once, so that the accuracy of the gas identification and analysis result of the established pattern identification model is reduced.
The traditional soft measurement model utilizes the output signals of a group of chemical sensor arrays to perform baseline removal processing on the signals of the chemical sensor arrays through a signal preprocessing module, so that the influence of sensor drift is reduced. The pattern recognition model describes the concentration information of the target gas by using a feature extraction method, and then estimates the concentration of the mixed gas by using an appropriate regression model. If the chemical sensor array fails, the subsequent pattern recognition model can generate wrong recognition and analysis results on the array signals with failure information. Therefore, the reliability of the traditional chemical sensor array soft measurement model is poor.
Disclosure of Invention
The purpose of the invention is: aiming at the problem that the traditional chemical sensor array soft measurement model in the prior art is poor in accuracy, a high-robustness chemical sensor array soft measurement method is provided.
The technical scheme adopted by the invention to solve the technical problems is as follows:
a high robustness chemical sensor array soft measurement method comprises the following steps:
the method comprises the following steps: dividing a chemical sensor array into g sub-sensor arrays, wherein the number of various sensors in the chemical sensor array is consistent;
step two: collecting output signals of each sub-sensor array to form a training sample set;
step three: performing feature extraction on the training sample of each sub-sensor array by using a principal component analysis method to obtain a feature set of each sub-sensor array;
step four: training a regression model of the sub-sensor array by using the feature set;
step five: and measuring the measurement sample by using the trained regression model of each sub-sensor array, and selecting the median of the measurement result of the regression model of each sub-sensor array as the final measurement result.
Further, the specific steps of performing feature extraction by using a principal component analysis method in the third step are as follows:
suppose thatA matrix of measurements representing an array of sub-sensors, m representing the number of sensors and n representing the number of measurements, the steps of:
step three, firstly: performing drift compensation on an output signal of each sensor in the sensor array;
step three: standardizing the sub-sensor array after drift compensation to obtain a matrix X*;
Step three: calculating the matrix X*The covariance matrix Σ of;
step three and four: and performing singular value decomposition according to the obtained covariance matrix:
step three and five: obtaining the number k of the principal components by utilizing the cumulative variance percentage according to the covariance matrix sigma after singular value decomposition;
step three and six: determining a load matrix according to the determined number k of the principal componentsThe method comprises the steps that eigenvectors corresponding to the largest k eigenvalues in a covariance matrix sigma are formed;
step three eight: and (3) utilizing the mapping matrix C to extract features:
wherein the content of the first and second substances,representing the results of the feature extraction on the chemical sensor array measurements.
Furthermore, the third step and the first step carry out drift compensation through a fractional difference method.
Further, the drift compensation performed by the fractional difference method is represented as:
xi=(Vi max-Vi min)/Vi min
wherein, Vi maxMaximum output voltage, V, representing the sensor response signali minRepresenting the minimum output voltage of the sensor response signal.
Further, the step three-two matrixX*Expressed as:
wherein, XiRepresents Xn×pColumn vector of (E) (X)i) Represents the mean of the column vectors, D (X)i) Represents the variance of the column vector, i 1, 2.. p, p being the number of sensors in the sub-sensor array.
Further, in the third step, the covariance matrix Σ is represented as:
further, in the third and fourth steps, singular value decomposition is performed according to the obtained covariance matrix Σ and expressed as:
∑=VΛVT
where Λ represents a diagonal matrix whose diagonal positions contain eigenvalues λ of the covariance matrix ΣiAnd arranging λ in descending order1≥λ2≥...≥λmAnd V is more than or equal to 0 and consists of a feature vector of sigma.
Further, the number k of the principal components obtained by using the cumulative variance percentage in the third step and the fifth step is expressed as:
when the CPV value is greater than 90, the value of k is the number of main components, where trace represents the number of traces of the matrix.
Further, when the CPV value is more than 90% and less than 95%, the value of k is the number of main components.
wherein u iskAnd expressing the selected feature vectors of sigma corresponding to the k principal components.
The invention has the beneficial effects that:
the invention provides a high-robustness chemical sensor array soft measurement model which has good fault tolerance of a chemical sensor and improves the accuracy and stability of an electronic nose system under a long-term working condition. The invention provides a high-robustness chemical sensor array soft measurement model which can keep the accuracy of an electronic nose system on gas identification and analysis results under the condition that a fault gas sensor exists in a chemical sensor array.
Drawings
FIG. 1 is a block diagram of a conventional chemical sensor array soft measurement model;
FIG. 2 is a block diagram of a soft measurement model of the high robustness chemical sensor array according to the present invention;
fig. 3 is a block diagram of an electronic nose system based on a MOS gas sensor array.
Detailed Description
The first embodiment is as follows: referring to the specific description of the present embodiment, the method for soft measurement of a highly robust chemical sensor array according to the present embodiment includes the following steps:
the method comprises the following steps: dividing a chemical sensor array into g sub-sensor arrays, wherein the number of various sensors in the chemical sensor array is consistent;
step two: collecting output signals of each sub-sensor array to form a training sample set;
step three: performing feature extraction on the training sample of each sub-sensor array by using a principal component analysis method to obtain a feature set of each sub-sensor array;
step four: training a regression model of the sub-sensor array by using the feature set;
step five: and measuring the measurement sample by using the trained regression model of each sub-sensor array, and selecting the median of the measurement result of the regression model of each sub-sensor array as the final measurement result.
In the application, the application is directed to a sensor array with the same number of types of sensors in the sensor array, and when the sensor array is divided into a plurality of sub-sensor arrays, for example, the sensor array has 12, 4 types, and 3 sensors in each type, the sensor array can be divided into 3 sub-sensor arrays, and each sub-sensor array includes one sensor in each of the 4 types.
Soft measurement model of traditional chemical sensor array
Fig. 1 shows a block diagram of a soft measurement model of a conventional chemical sensor array. Therefore, the traditional soft measurement model utilizes the output signals of a group of chemical sensor arrays to perform baseline removal processing on the signals of the chemical sensor arrays through a signal preprocessing module, so that the influence of sensor drift is reduced. The pattern recognition model describes the concentration information of the target gas by using a feature extraction method, and then estimates the concentration of the mixed gas by using an appropriate regression model. If the chemical sensor array fails, the subsequent pattern recognition model can generate wrong recognition and analysis results on the array signals with failure information. Therefore, the reliability of the traditional chemical sensor array soft measurement model is poor.
High-robustness chemical sensor array soft measurement model
The patent provides a high robustness chemical sensor array soft measurement model, and the model can keep the accuracy of an electronic nose system to gas identification and analysis results under the condition that a fault gas sensor exists in a chemical sensor array. Fig. 2 shows a block diagram of a proposed soft measurement model of a high-robustness chemical sensor array.
Chemical sensor arrays typically employ different types of chemical sensor compositions and each type of sensor has hardware redundancy. According to the above properties of the chemical sensor array, after the chemical sensor array signals are collected and signal pre-processed, a virtual chemical sensor array will be composed according to the kind of chemical sensors. The virtual chemical sensor array is divided into a plurality of sub-sensor arrays, and each sub-sensor array is composed of different chemical sensors in order to ensure that each sub-sensor array can have better broad-spectrum response characteristics. And acquiring enough training sample sets through each sub-sensor array, and constructing respective pattern recognition models. And (4) evaluating the estimated values of the different mode recognition models for the target gas, and selecting the median value as the result output of the soft measurement model. When a faulty sensor is present in the chemical sensor array, the analysis results of the sub-sensor array containing the faulty sensor may deviate from the analysis results of other pattern recognition models. In order to improve the robustness of the model, the median of each pattern recognition model is adopted as the analysis result of the chemical sensor array to be output.
Basic procedure
The basic steps of the high robustness chemical sensor array soft measurement model are as follows.
(1) Because the chemical sensor has drift caused by temperature effect, in order to reduce the influence of the drift, the sensor drift is compensated by adopting a split differential method. Signal preprocessing is performed on each chemical sensor by using a fractional difference method as shown in formula (1).
xi=(Vi max-Vi min)/Vi min (1)
Wherein x isiRepresents the processed result, V, obtained after signal preprocessing of the chemical sensori maxMaximum output voltage, V, representing the sensor response signali minMinimum output voltage, V, representing sensor response signaliRepresenting a time-of-day value of the sensor response signal.
(2) Assuming that the chemical sensor array is composed of n chemical sensors and g different chemical sensors are used in total, the chemical sensor array may be divided into m sub-sensor arrays according to the proposed method to form a virtual chemical sensor array, where n is m · g.
(3) And carrying out sample collection experiments by using the measured gas with different concentrations according to an experiment plan, carrying out independent experiments aiming at different concentrations, and obtaining a training sample set corresponding to each sub-sensor array.
(4) Feature extraction is achieved using Principal Component Analysis (PCA). For the training samples of each sub-sensor array, assuming that the sub-sensor array is composed of p sensors, each training sample of the sub-sensor array is composed of n pre-processed measurement values to form Xn×p. To Xn×pCarrying out standardization processing to obtain a standardized matrix X*,
Wherein, XiRepresents Xn×pColumn vector of (E) (X)i) Represents the mean of the column vectors, D (X)i) Representing the variance of the column vector.
Decomposition of X into X by PCA
Wherein the content of the first and second substances,referred to as the Principal Component Subspace (PCS),referred to as Residual Subspace (RS);in order to be a scoring matrix, the scoring matrix,and k is the number of principal components of the PCA model.
calculating X*Covariance ofThe matrix sigma is such that,
the covariance matrix sigma is subjected to a Singular Value Decomposition (SVD),
∑=VΛVT (5)
wherein Λ is obtained by arranging the covariance matrix sigma eigenvalues in descending order (λ)1≥λ1≥λ2≥...≥λmNot less than 0), and V is composed of eigenvectors corresponding to all eigenvalues of the covariance matrix sigma.
Selecting the optimal number of the main components by adopting cumulative variance percentage (CPV),
forming a load matrix by using the first k column vectors of UThe loading matrix contains the gas information in the original sample and reduces the dimensionality of the sample.
And obtaining a feature set of each sub-sensor array through feature extraction, and training a regression model of the sub-sensor array by using the feature set. The invention adopts multivariable correlation vector machine (MVRVM), correlation vector machine (RVM) and least square support vector machine regression (LS-SVR) as a mixed gas concentration analysis model, and the basic principle of the MVRVM regression model can be referred to documents [1] Thayananthan A, Navararm R, Stenger B, et al.
And analyzing the measurement sample by using the trained regression model of each sub-sensor array, so as to obtain concentration values of different gases in the sample. In order to reduce the performance of the fault sensor on the electronic nose system, the median of all the sub-sensor array measurement values is selected as the output of the system.
Examples
Fig. 3 is a block diagram of an electronic nose system based on an MOS gas sensor array, which is mainly composed of an MOS gas sensor array, a data acquisition card, a power supply, a mass flow controller, and a PC. The MOS gas sensor array consisted of 16 commercially available MOS gas sensors of TGS series manufactured by FIGARO corporation of japan, and the specific model and the number of assemblies are shown in table 1.
The measured information can be converted into an analog signal by a corresponding measuring circuit. The data acquisition card is connected with a PC (personal computer) and adopts USB-6251 produced by NI company to acquire 16 paths of analog signals output by the MOS gas sensor array. The MOS gas sensor array is placed in a sealed organic glass gas chamber with the volume of 1L. The gas-sensitive material of the MOS gas sensing array is heated by adopting a +5V direct current power supply, so that the gas-sensitive sensor can fully react with the gas/smell to be detected. Methane (CH4) and carbon monoxide (CO) gases were selected as target gas samples, and the volume fractions of the two gases in the gas cell were controlled by two mass flow controllers. The MOS gas sensor array self-confirmation method program runs on a PC (personal computer) under an operating system with a main frequency of 2.27Hz, a memory of 4G and a 32-bit Window 7. Table 2 shows the mixed gas experimental samples collected by the experimental system. The MOS gas sensor response data samples for each concentration of the above experiment were obtained in five independent replicates.
TABLE 1 MOS GAS SENSOR ASSEMBLED TO A GAS SENSOR ARRAY
Table 2 sample of mixed gas experimental data
Taking the heating voltage open circuit fault of the No. 16 TGS2620 MOS gas sensor in the MOS gas sensor array as an example, at this time, the gas sensor lacks sufficient working temperature, so that the gas sensitive material can not perform chemical reaction with the gas to be detected, and the MOS gas sensor has constant output fault. Table 3 shows the proof relative error of concentration estimates for different regression models at constant output fault. Therefore, under the condition of constant fault, the identification and detection performance of the electronic nose experiment system is reduced, and particularly the gas concentration detection precision is obviously reduced. Table 4 is the average relative error of concentration estimates at constant output fault using the different regression models of the method of this patent. Therefore, the high-robustness chemical sensor array soft measurement model provided by the patent can obviously improve the reliability and accuracy of the analysis result of the electronic nose system.
TABLE 3 mean relative error of concentration estimation for different regression models at constant output failure
Table 4 mean relative error of concentration estimation under constant output fault using different regression models of the method of this patent
It should be noted that the detailed description is only for explaining and explaining the technical solution of the present invention, and the scope of protection of the claims is not limited thereby. It is intended that all such modifications and variations be included within the scope of the invention as defined in the following claims and the description.
Claims (10)
1. A high-robustness chemical sensor array soft measurement method is characterized by comprising the following steps:
the method comprises the following steps: dividing a chemical sensor array into g sub-sensor arrays, wherein the number of various sensors in the chemical sensor array is consistent;
step two: collecting output signals of each sub-sensor array to form a training sample set;
step three: performing feature extraction on the training sample of each sub-sensor array by using a principal component analysis method to obtain a feature set of each sub-sensor array;
step four: training a regression model of the sub-sensor array by using the feature set;
step five: and measuring the measurement sample by using the trained regression model of each sub-sensor array, and selecting the median of the measurement result of the regression model of each sub-sensor array as the final measurement result.
2. The method for soft measurement of the high robustness chemical sensor array according to claim 1, wherein the specific steps of feature extraction by using a principal component analysis method in the third step are as follows:
suppose thatA matrix of measurements representing an array of sub-sensors, m representing the number of sensors and n representing the number of measurements, the steps of:
step three, firstly: performing drift compensation on an output signal of each sensor in the sensor array;
step three: standardizing the sub-sensor array after drift compensation to obtain a matrix X*;
Step three: calculating the matrix X*The covariance matrix Σ of;
step three and four: and performing singular value decomposition according to the obtained covariance matrix:
step three and five: obtaining the number k of the principal components by utilizing the cumulative variance percentage according to the covariance matrix sigma after singular value decomposition;
step three and six: determining a load matrix according to the determined number k of the principal componentsThe method comprises the steps that eigenvectors corresponding to the largest k eigenvalues in a covariance matrix sigma are formed;
step three eight: and (3) utilizing the mapping matrix C to extract features:
3. The method as claimed in claim 2, wherein the step three is a drift compensation method by a fractional difference method.
4. The method for soft measurement of the high robustness chemical sensor array according to claim 3, wherein the fractional difference method performs drift compensation as follows:
xi=(Vi max-Vi min)/Vi min
wherein, Vi maxMaximum output voltage, V, representing the sensor response signali minRepresenting the minimum output voltage of the sensor response signal.
5. A highly robust chemical sensing according to claim 4The soft measurement method of the array is characterized in that the matrix X in the third step and the second step*Expressed as:
wherein, XiRepresents Xn×pColumn vector of (E) (X)i) Represents the mean of the column vectors, D (X)i) Represents the variance of the column vector, i 1, 2.. p, p being the number of sensors in the sub-sensor array.
7. the method as claimed in claim 6, wherein the step three or four is performed by performing singular value decomposition according to the covariance matrix Σ as:
∑=VΛVT
where Λ represents a diagonal matrix whose diagonal positions contain eigenvalues λ of the covariance matrix ΣiAnd arranging λ in descending order1≥λ2≥...≥λmAnd V is more than or equal to 0 and consists of a feature vector of sigma.
8. The method as claimed in claim 7, wherein the number k of principal components obtained by using the cumulative variance percentage in the third step and the fifth step is expressed as:
when the CPV value is greater than 90, the value of k is the number of main components, where trace represents the number of traces of the matrix.
9. The method as claimed in claim 8, wherein the value of k is the number of main components when the CPV value is greater than 90% and less than 95%.
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