CN108982096B - Industrial robot crankshaft abrasion detection method based on heuristic rule system - Google Patents
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Abstract
The invention relates to an industrial robot crank shaft abrasion detection method based on a heuristic rule system. The invention uses heuristic rule system modeling to describe the nonlinear mapping relation between the crankshaft torque mean value and torque derivative mean value variables f1 and f2 (input) of the industrial robot and the crankshaft wear degree variable Y (output) of the industrial robot. And optimizing an initial model of a heuristic rule system through limited historical data, and reducing the influence of subjective factors on the model. The heuristic rule system method can calculate the parameters of the model more simply and rapidly, so that the wear degree grade of the crankshaft of the industrial robot can be accurately and rapidly estimated through the heuristic rule system under the condition of setting the characteristics of the torque mean value and the torque derivative mean value. The method improves the estimation precision and the calculation efficiency of the model, and has higher efficiency and advantages.
Description
Technical Field
The invention relates to an industrial robot crank shaft abrasion detection method based on a heuristic rule system, and belongs to the field of industrial production safety maintenance.
Background
With the improvement of the automation degree and the production line takt, the industrial robot under the high-speed and high-load operation has frequent faults, wherein the fault incidence rate of the wear of the crank shaft of the robot is the highest. Because the crank of the robot crank shaft is used as the input and the output of the second-stage cycloidal gear transmission, after the crank is worn, the crank greatly affects the positioning accuracy of the robot, and simultaneously has the phenomena of abnormal sound, shaking and the like, the service life of the robot is greatly shortened, and even serious safety accidents can be caused.
In the process of detecting the abrasion of the motor cylindrical roller bearing, a student researches that the cylindrical roller bearing to be detected is flatly placed on a special tool clamp by adopting contour detection, finds out the highest point of a roller, measures the contour of a bus of the highest point of the roller, evaluates the height difference between the highest point and the lowest point on the effective sampling length of a bearing area of the roller and judges the abrasion degree according to the height difference; or the bearing roller bus is detected by adopting light transmission detection, namely a linear ruler with higher precision is used for detecting the bearing roller bus, the linear ruler is closely attached to the bearing roller bus in parallel, the light transmission detection is carried out on the gap between the linear ruler and the bearing roller bus, and the abrasion condition of the surface profile of the roller is qualitatively judged according to the light transmission intensity and the light transmission color. The crankshaft morphological structure and the function in the whole system are similar to those of a motor cylindrical roller bearing, so that the motor cylindrical roller bearing abrasion detection based on contour detection and light transmission detection is suitable for crankshaft abrasion detection in principle. However, from the consideration of the efficiency of practical engineering application, the normal and efficient operation of the RV reducer is not influenced when the wear degree of the crankshaft is small, and at the moment, the crankshaft is stopped and disassembled for subsequent wear detection, so that the economical applicability is not realized in engineering. In addition, the wear detection method has higher requirements on the precision and the manufacturing process of the used tool, one set of tool equipment has no universality, a set of special tool clamp and a straight line ruler suitable for crankshaft wear detection is researched and developed, the difficulty is high, the cost is high, the period is long, and the wear detection method has great difficulty in popularization in general companies and factories except professional research laboratories.
In addition to the physical detection methods described above with respect to bearing wear, there are also on-line detection methods of bearing wear based on ultrasonic waves. The principle is that after the pulse of the main controller is sent by the transmitting circuit, the pulse is changed into periodic extremely narrow electric pulse in a very short time, after the pulse is added to the probe, pulse ultrasonic waves can appear on the piezoelectric plate, the ultrasonic waves can be reflected on the upper surface and the lower surface of a workpiece, after reflected waves are converted into electric signals, the time of sound waves transmitted on the upper surface and the lower surface of the workpiece is obtained through the amplifier, the thickness is calculated, and then the thickness is compared to judge the wear degree of the bearing. Although the online detection method overcomes the complexity of a physical monitoring method to a certain extent, a new problem is introduced. It does not take advantage of the many more recognizable and discernable input signals of the crankshaft itself, but rather artificially introduces a master pulse externally. Practice shows that the pulse size selection has great influence on the detected abrasion degree, so that the measurement result is full of uncertainty, and the detection precision is difficult to ensure. In addition, the method can only detect within a certain range of wear degree, and can not effectively and reasonably grade the wear degree of the crankshaft.
Therefore, it is very important to find a crankshaft wear detection method that can use its own signal as input and can precisely determine the fault level while ensuring the accuracy without additionally designing a physical detection tool. Therefore, a heuristic rule system is introduced, the heuristic rule system has the capability of modeling data with incomplete, fuzzy, probabilistic uncertainty, subjective/objective and nonlinear characteristics, the complex nonlinear relation between the input quantity and the output quantity of the controller is described by the heuristic rule system through the expression of knowledge realized by the heuristic rule system and the reasoning of the knowledge based on the evidence reasoning algorithm, then a nonlinear learning model is given, the optimization problem of the initial heuristic rule system parameter given by an expert is solved, the action of a controlled object is controlled by the output of the trained heuristic rule system, and the nonlinear mapping relation between the input variable and the output variable is accurately described.
Disclosure of Invention
The invention designs a detection method based on an heuristic rule system aiming at the uncertainty relation between the torque characteristics of a servo motor of an industrial robot and the wear state of a crankshaft of an RV (rotating vector) speed reducer.
The method comprises the steps that firstly, the input of a diagnosis system can select the mean value of the torque of the motor and the mean value of the reciprocal of the torque, and the output is determined as the wear fault grade of the crankshaft. Secondly, fusing the confidence structure in the item after the activated confidence rule is input by using an Evidence Reasoning (ER) algorithm to obtain the wear level. Finally, the method is verified through actually measured torque data acquired by an industrial robot of a certain model, and the method is proved to have strong superiority.
The invention comprises the following steps:
the method comprises the following steps that (1) a torque signal a1(T) and a current signal b1(T) are acquired by using a vibration sensor and a current sensor which are installed on a servo motor of the industrial robot, wherein the torque unit is mm, the current signal unit is A, a1(T) belongs to the range of-4, 2, b1(T) belongs to the range of-4, the torque signal and the current signal are sampled at the same time every 1 second for T times in total, T < infinityis more than or equal to 1000, and then the sampling time T is 1,2, … and T.
Step (2) averages the signal a1(t) acquired in step (1) as a feature f1(t), calculates the slope of the signal a1(t), and then calculates the average of the slopes as a feature f2 (t).
And (3) outputting a wear fault grade of the crankshaft, and qualitatively dividing the crankshaft into three different wear states: normal state for safe work requirement; moderate wear state with high defective rate; and a heavy wear condition where it does not work properly. The wear failure level is denoted as y (T), and f1(T), f2(T), and y (T) are expressed as vectors P (T) (f 1(T), f2(T), y (T)), and T vectors are obtained in total, and the vector set formed by these vectors is denoted as P (T) | T ═ 1,2, …, T }.
Step (4) establishing rules of a heuristic rule system by using a nonlinear relation between torque mean value and torque derivative mean value variables f1 and f2 (input) and a wear degree variable Y (output), wherein the k-th rule of the heuristic rule system is marked as RkIt is expressed as follows:
Rkis given a rule weight of thetakSatisfies the condition of 0 ≤ thetakLess than or equal to 1; input variable f1And f2The corresponding attribute weights are respectively delta1,δ2And 0 is not less than delta1,δ2≤1;
In the formula (1), the reaction mixture is,andrespectively f of input variables of heuristic rule system1And f2Reference value, and hasWherein j is 1,2, QjIs composed ofWherein the elements satisfyxjRepresents the number of values, x, corresponding to the jth input variable reference valuejNot less than 1; are respectively at Q1,Q2Extracting an element as f1、f2Thus combined into a rule, can yield L ═ x in total1×x2The rule is that L is more than or equal to 1, k is 1,2,3, …, and L is the serial number of the rule;
in the formula (1), RkThe latter item attribute is G respectively1,G2,…,GNAnd is combined with LY≤G1<G2<…<GN≤RY,N≥2,λ1,k,λ2,k,…,λN,kAre each G1,G2,…,GNAnd satisfies a confidence value of 0 ≦ λi,k≤1,i=1,2,…,N;
Wherein, in the formula (1), the initial rule weight is set as thetakInitial attribute weight δ 1j=1。
Step (5) setting a torque mean value and a torque derivative mean value f1And f2Then, the corresponding crank shaft wear degree estimation results are obtained through a heuristic rule systemThe method comprises the following specific steps:
step (5-1) setting f1And f2Are each f1 1And superscript 1 represents the input to a heuristic rule system and hasBring them into a heuristic rule system model, calculate the weight of each rule they activate:
ωk∈[0,1](3)
in the formula (2), the reaction mixture is,expressed as the jth input variable in the kth rule relative to a reference valueCoordinate difference of (c ═ 1,2, …, x)j) The solving method of the coordinate difference value is as follows:
(a) when f isj 1≤Aj,1Andwhen f is presentj 1For Aj,1Andcoordinate difference of (2)Values are all 1, and coordinate differences of other reference values are all 0;
(b) when A isj,c<fj 1≤Aj,c+1When f is presentj 1For Aj,cAnd Aj,c+1Coordinate difference of (2)The values are given by the formulas (4) and (5) respectively
At this time, the coordinate difference values of other reference values are all 0;
step (5-2) obtaining an input variable of f1 1Andconfidence fusion values of different consequent outputs after model inference
Wherein m isi,k=ωkλi,k(7)
And λi,kConfidence of the property of the consequent for the activated rule;
The obtained result is the estimated value of the heuristic rule system to the wear degree grade of the crank shaft of the industrial robot.
The key technology of the method is as follows: the method comprises the steps of firstly selecting historical data with certain characteristics to carry out data analysis, obtaining torque signals and current signals collected by a vibration sensor and a current sensor which are installed on a servo motor of the industrial robot, constructing a heuristic rule system which reflects the nonlinear relation between input frequency domain characteristic signals f1 and f2 and an output crankshaft wear degree grade Y, then selecting training samples, and solving the nonlinear optimization problem formed by all parameters in the heuristic rule system model.
The method comprises the steps of firstly establishing a nonlinear mapping relation between torque signals and current signals acquired by a vibration sensor and a current sensor on a servo motor of the industrial robot and the wear degree grade of a crankshaft by utilizing a heuristic rule system. Therefore, the influence of subjective factors is reduced, and the estimation precision and the calculation efficiency of the model are improved.
Drawings
FIG. 1 is a block flow diagram of the method of the present invention.
Fig. 2 is the characteristic data obtained by averaging the acquired time domain vibration signal a1(t), taking the average as the characteristic f1(t), calculating the slope of the vibration signal a1(t), and then calculating the average of the slope as the characteristic f2(t) in the embodiment of the method of the present invention.
FIG. 3 is a graph of crankshaft wear estimates based on a heuristic rule system using training samples in an embodiment of the method of the present invention.
FIG. 4 is a graph of the trace between the estimated and true values of the heuristic rule system model in an embodiment of the method of the present invention.
Detailed Description
An industrial robot crank shaft abrasion detection method based on a heuristic rule system comprises the following steps:
(1) torque signals a1(T) and current signals b1(T) acquired by using a vibration sensor and a current sensor which are installed on a servo motor of the industrial robot, wherein the torque unit is mm, the current signal unit is A, a1(T) belongs to the range of-4, 2, b1(T) belongs to the range of-4, the torque signals and the current signals are simultaneously sampled every 1 second for T times, T < infinityis more than or equal to 1000, and the sampling time T is 1,2, … and T.
(2) When the current signal is stable, averaging the time-domain vibration signal a1(t) obtained in the step (1), wherein the average value is used as a feature f1(t), calculating the slope of the vibration signal a1(t), and then calculating the average value of the slope to be used as a feature f2 (t).
(3) The output is determined as the wear failure grade of the crankshaft, and the crankshaft is qualitatively divided into three different wear states: normal state for safe work requirement; moderate wear state with high defective rate; and a heavy wear condition where it does not work properly. The wear failure level is denoted as y (T), and f1(T), f2(T), and y (T) are expressed as vectors P (T) (f 1(T), f2(T), y (T)), and T vectors are obtained in total, and the vector set formed by these vectors is denoted as P (T) | T ═ 1,2, …, T }.
(4) Establishing rules of a heuristic rule system by using a nonlinear relation between torque mean and torque derivative mean variables f1 and f2 (input) and a wear degree variable Y (output), wherein the k-th rule of the heuristic rule system is marked as RkIt is expressed as follows:
Rkis given a rule weight of thetakSatisfies the condition of 0 ≤ thetakLess than or equal to 1; input variable f1And f2The corresponding attribute weights are respectively delta1,δ2And 0 is not less than delta1,δ2≤1;
In the formula (1), the reaction mixture is,andrespectively f of input variables of heuristic rule system1And f2Reference value, and hasWherein j is 1,2, QjIs composed ofWherein the elements satisfyxjRepresents the number of values, x, corresponding to the jth input variable reference valuejNot less than 1; are respectively at Q1,Q2Extracting an element as f1、f2Thus combined into a rule, can yield L ═ x in total1×x2The rule is that L is more than or equal to 1, k is 1,2,3, …, and L is the serial number of the rule;
in the formula (1), RkThe latter item attribute is G respectively1,G2,…,GNAnd is combined with LY≤G1<G2<…<GN≤RY,N≥2,λ1,k,λ2,k,…,λN,kAre each G1,G2,…,GNAnd satisfies a confidence value of 0 ≦ λi,k≤1,i=1,2,…,N;
Wherein, in the formula (1), the initial rule weight is set as thetakInitial attribute weight δ 1j=1。
For ease of understanding, it is assumed, by way of example, thatWherein the value of each reference value is A1,1=7,A1,2=8,A1,3=9,Wherein the value of each reference value is A2,1=0.2,A2,2=0.3,A3,30.4, provided that Y is satisfied1×f2,G1=0.4,G2=1.5,G3=2.3,G4A total of 2 will yield L9 rules, given the initial θk=1,δ1=δ 21, wherein the following rules are partially defined:
R1if f1Is equal to 7 and f20.2, then [ (G)1,0.667),(G2,0.333),(G3,0),(G4,0)];
R2If f1Is equal to 7 and f20.3, then [ (G)1,0),(G2,0.75),(G3,0.25),(G4,0)];
R3If f1Is equal to 7 and f20.4, then [ (G)1,0),(G2,0),(G3,0.75),(G4,0.25)];
……
R7If f1Is equal to 9 and f20.2, then [ (G)1,0.444),(G2,0.556),(G3,0),(G4,0)];
R8If f1Is equal to 9 and f20.3, then [ (G)1,0),(G2,0.25),(G3,0.75),(G4,0)];
R9If f1Is equal to 9 and f20.4, then [ (G)1,0),(G2,0),(G3,0),(G4,1)];
Here, 9 rules are formed, where λi,kThe results from the historical data analysis are analyzed to satisfy the constraints.
(5) Given torque mean and torque derivative mean f1And f2Then, the heuristic rule system acquires the corresponding dataCrankshaft wear degree estimation resultThe method comprises the following specific steps:
step (5-1) setting f1And f2Are each f1 1Andsuperscript 1 represents the input to a heuristic rule system and hasBring them into a heuristic rule system model, calculate the weight of each rule they activate:
ωk∈[0,1](3)
wherein,
in the formula (2), the reaction mixture is,expressed as the jth input variable in the kth rule relative to a reference valueCoordinate difference of (c ═ 1,2, …, x)j) The solving method of the coordinate difference value is as follows:
(a) when f isj 1≤Aj,1Andwhen f is presentj 1For Aj,1Andcoordinate difference of (2)Values are all 1, and coordinate differences of other reference values are all 0;
(b) when A isj,c<fj 1≤Aj,c+1When f is presentj 1For Aj,cAnd Aj,c+1Coordinate difference of (2)The values are given by the formulas (4) and (5) respectively
At this time, the coordinate difference values of other reference values are all 0;
step (5-2) obtaining an input variable of f1 1Andconfidence fusion values of different consequent outputs after model inference
Wherein m isi,k=ωkλi,k(7)
And λi,kConfidence of the property of the consequent for the activated rule;
The obtained result is the estimated value of the heuristic rule system to the wear degree grade of the crank shaft of the industrial robot.
For the sake of understanding, the model in step (4) is taken as an example, and the model input f is assumed1 17.6 andthe actual wear level Y at this time is 1, and equations (2) to (4) are substituted, and the activation rule R can be obtained1、R2、R4And R5The calculated activation weight is: w is a1=0.28,w2=0.12,w4=0.42,w50.18, and 0 for the rest; therefore, the results are taken into the formulas (5) and (6)Brought into formula (7), to obtainThe deviation from the true value is 0.083, and the number of rules and the number of the consequent outputs can be increased for improving the precision.
Embodiments of the method of the present invention are described in detail below with reference to the accompanying drawings:
the flow chart of the method of the invention is shown in figure 1, and the core part is as follows: acquiring a torque signal a1(t) and a current signal b1(t) by using a vibration sensor and a current sensor which are arranged on a servo motor of an industrial robot, wherein the unit of torque is mm, the unit of the current signal is A, averaging the acquired torque signal a1(t) (representing a time-domain vibration signal), taking the average value as a characteristic f1(t), calculating the slope of the vibration signal a1(t), then averaging the slope as a characteristic f2(t), and constructing a structure reflecting the input characteristic signal f1And f2And a heuristic rule system for outputting a non-linear relationship between the crankshaft wear failure level Y.
The steps of the method are described in detail by combining a large amount of measured data for analysis, and experimental results prove that compared with an industrial robot crankshaft wear detection method using an MATLAB toolbox fmincon function, the industrial robot crankshaft wear detection method based on a heuristic rule system has the advantage of high calculation efficiency, and the situation that no optimized result exists in the fmincon function is avoided.
1. Torque signals a1(T) and current signals b1(T) acquired by using a vibration sensor and a current sensor which are installed on a servo motor of the industrial robot, wherein the torque unit is mm, the current signal unit is A, a1(T) belongs to the range of-4, 2, b1(T) belongs to the range of-4, the torque signals and the current signals are simultaneously sampled every 1 second for T times, T < infinityis more than or equal to 1000, and the sampling time T is 1,2, … and T.
2. The time domain vibration signal a1(t) obtained in step 1 is averaged to obtain a mean value as a feature f1(t), the vibration signal a1(t) is subjected to slope calculation, and then the mean value of the slope is obtained as a feature f2(t), as shown in fig. 2, wherein a dotted line represents current and a solid line represents torque.
3. The crankshaft is qualitatively divided into three different wear states: normal state for safe work requirement; moderate wear state with high defective rate; and a heavy wear condition where it does not work properly. The wear failure level is denoted as y (T), and f1(T), f2(T), and y (T) are expressed as vectors P (T) (f 1(T), f2(T), y (T)), and T vectors are obtained in total, and the vector set formed by these vectors is denoted as P (T) | T ═ 1,2, …, T }.
4. Establishing a mean signal f reflecting a torque mean signal and a torque slope of the crankshaft1And f2(two-dimensional input to the heuristic rule system) and a crankshaft wear failure degree variable Y (output of the heuristic rule system).
Selecting semantic value of input and output variable, f1The fuzzy semantic value of (a) is described as: minimal (ES 1), very small (VS 1), positive small (PS 1), positive medium (PM 1), positive large (PL 1), very large (VL 1); f. of2The fuzzy semantic value of (a) is described as: minimal (ES 2), minimal (VS 2), positive (PS 2), and median (posiv) small (ES 2)e medium, PM2), positive large (PL 2), very large (VL 2). The reference values are shown in tables 1 to 3:
TABLE 1 f1Semantic value and reference value of
TABLE 2 f2Semantic value and reference value of
Semantic and reference values of Table 3Y
The initial heuristic rule system established is shown in table 4, where the confidence value of the consequent output is given as required based on historical data:
TABLE 4 initial confidence rule base
5. Combining the step (5) to obtain the given input characteristic f of the training sample1And f2Obtaining the corresponding crank shaft abrasion fault degree estimation results through a heuristic rule system
Selecting TN-60 training samples from 2000 groups of vectors, wherein the corresponding input real fault level is Y (t), and the corresponding estimated value of the training samples input through a heuristic rule system is
First, the activation weight of the rule is calculated for each input variable. The activation weight omega of each rule in the heuristic rule system can be calculated by using the formulas (2) to (5)k. When t is 320, the input quantity is f1=0.3369、f20.0062, its pair rule R can be obtained11,R12And R19,R20Respectively is w11=0.6915,w12=0.13,w19=0.1503,w20The activation weight of other rules is 0.0282, that is, 4 rules in the heuristic rule system are activated.
Finally, the activated rules are fused. And fusing the confidence structure of the activated heuristic rule postterms by utilizing an ER algorithm to obtain an output confidence structure about Y. Can be obtained from the equations (5) and (6)For example, consider the above step with respect to f1=0.3369、f2W 0.0062kAnd initial heuristic rule system consequent confidence lambdaj,kIn the belt-carrying formulas (7) and (8), it is possible to obtain:
6. determining heuristic rule system for detecting wear degree of optimized crankshaft, and performing result verification test
According to the parameters in the crankshaft wear degree detection system obtained in the steps, verification is carried out by using sample data which is randomly extracted. Here, it is possible to obtain the estimated curve of the wear level of the crank shaft by the initial heuristic rule system and the estimated curve of the wear level of the crank shaft by the optimized heuristic rule system as shown in FIG. 3, FIG. 3(a) shows an estimated curve of an initial heuristic rule system for a level of crankshaft wear, FIG. 3(b) shows a graph of the estimated crankshaft wear level for the model of the optimized heuristic rule system for the same input variables, where the true data value is denoted by "o", the crankshaft wear level estimate given by the method of the present invention is denoted by "", figure 4 shows a trace between the respective estimates of the wear level of the crankshaft and the true values of the heuristic rule system, wherein "-" represents the curve of the true value of the wear degree grade of the crankshaft, and "-" represents the curve of the heuristic rule system for the estimated value of the wear degree grade of the crankshaft.
Claims (1)
1. An industrial robot crank shaft abrasion detection method based on a heuristic rule system is characterized by comprising the following steps:
acquiring a torque signal a1(T) and a current signal b1(T) by using a vibration sensor and a current sensor which are installed on a servo motor of an industrial robot, wherein the torque unit is mm, the current signal unit is A, a1(T) belongs to the range of-4, 2, b1(T) belongs to the range of-4, 4), the torque signal and the current signal are sampled at the same time every 1 second for T times, and if T is more than or equal to 1000 and less than infinity, the sampling time T is 1,2, … and T;
step (2) averaging the signal a1(t) obtained in step (1) to obtain an average value as a feature f1(t), obtaining a slope c1(t) for the signal a1(t), and then obtaining an average value of the slope c1(t) to obtain a feature f2 (t);
and (3) outputting a wear fault grade of the crankshaft, and qualitatively dividing the crankshaft into three different wear states: the device can be used for a normal state with safety requirements, a moderate wear state with high defective rate and a severe wear state which cannot work normally; recording the wear failure grade as Y (T), and expressing f1(T), f2(T) and Y (T) as vectors P (T) ([ f1(T), f2(T), Y (T)) ], wherein T vectors are obtained in total, and the vector set formed by the vectors is recorded as P (P (T) | T ═ 1,2, … and T };
establishing rules of a heuristic rule system, and adopting a nonlinear relation between torque mean value and torque derivative mean value variables f1 and f2 and a wear degree variable Y, wherein the kth rule of the heuristic rule system is marked as RkIt is expressed as follows:
Rkis given a rule weight of thetakSatisfies the condition of 0 ≤ thetakLess than or equal to 1; input variable f1And f2The corresponding attribute weights are respectively delta1,δ2And 0 is not less than delta1,δ2≤1;
In the formula (1), the reaction mixture is,andrespectively f of input variables of heuristic rule system1And f2Reference value, and hasWherein j is 1,2, QjIs composed ofWherein the elements satisfyxjRepresents the number of values, x, corresponding to the jth input variable reference valuejNot less than 1; are respectively at Q1,Q2Extracting an element as f1、f2Are combined into a rule, which yields L ═ x in total1×x2The rule is that L is more than or equal to 1, k is 1,2,3, …, and L is the serial number of the rule;
in the formula (1), RkThe latter item attribute is G respectively1,G2,…,GNAnd is combined with LY≤G1<G2<…<GN≤RY,N≥2,λ1,k,λ2,k,…,λN,kAre each G1,G2,…,GNAnd satisfies a confidence value of 0 ≦ λi,k≤1,i=1,2,…,N;
Wherein, in the formula (1), the initial rule weight is set as thetakInitial attribute weight δ 1j=1;
Step (5) setting a torque mean value and a torque derivative mean value f1And f2Then, the corresponding crank shaft wear degree estimation results are obtained through a heuristic rule systemThe method comprises the following specific steps:
step (5-1) setting f1And f2Are each f1 1Andsuperscript 1 represents the input to a heuristic rule system and hasBring them into a heuristic rule system model, calculate the weight of each rule they activate:
ωk∈[0,1](3)
wherein,
in the formula (2), the reaction mixture is,expressed as the jth input variable in the kth rule relative to a reference valueCoordinate difference of (2), coordinate differenceIs solved as follows:
(a) when f isj 1≤Aj,1Andwhen f is presentj 1For Aj,1Andcoordinate difference of (2)Values are all 1, and coordinate differences of other reference values are all 0;
(b) when A isj,c<fj 1≤Aj,c+1When f is presentj 1For Aj,cAnd Aj,c+1Coordinate difference of (2)The values are given by the formulas (4) and (5) respectively
At this time, the coordinate difference values of other reference values are all 0;
step (5-2) obtaining an input variable of f1 1Andconfidence fusion values of different consequent outputs after model inference
Wherein m isi,k=ωkλi,k(7)
And λi,kConfidence of the property of the consequent for the activated rule;
The obtained result is the estimated value of the heuristic rule system to the wear degree grade of the crank shaft of the industrial robot.
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