JP2006255944A - Apparatus for relating actuator and measuring point - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To provide an apparatus for relating an actuator and a measuring point to each other capable of detecting the positional relation of the operation point of the actuator with the measuring point in the width direction of a sheet with high precision without receiving the effect of disturbance, a method for relating the actuator and the measuring point and a program executed by a computer. <P>SOLUTION: The means for relating the actuator and the measuring point of a control unit 19 is constituted so that a change in the thickness of a sheet, in a case that the control input of the actuator is changed on the basis of a time series predetermined pattern, is preliminarily calculated as an estimate value, the actually measured value measured by a measuring means is acquired in a case that a plurality of actuators is operated based on the predetermined pattern to calculate the correlation of the time series data of the estimate value and the corresponding position of each of the actuators and the measuring point is detected based on the correlation value. <P>COPYRIGHT: (C)2006,JPO&NCIPI

Description

  The present invention relates to an actuator and measurement point association apparatus, an actuator and measurement point association method, and a program to be executed by a computer, and more specifically, a plurality of actuators arranged in the width direction of a sheet, and a plurality of actuators An actuator for detecting a corresponding position between an actuator and a measurement point, and a measurement point association device, in a plant having a measurement unit that is arranged on the downstream side of the sheet and measures the thickness of the sheet at a plurality of measurement points in the width direction of the sheet, The present invention relates to a method for associating an actuator with a measurement point, and a program executed by a computer.

  2. Description of the Related Art Conventionally, a sheet such as a film is manufactured by extruding a molten resin from an elongated lip (base) and stretching the sheet, and winding the sheet into a roll with a winder. FIG. 10 is a diagram for explaining the sheet necking phenomenon. A so-called necking phenomenon in which the extruded film sheet contracts is known as a cause of uneven thickness of the extruded film sheet. As shown in FIG. 10, the film sheet extruded from the base 100 by the plurality of actuators 101 contracts in the width direction (primary necking), and is narrower than the slit width of the base 100. This necking phenomenon is caused by the viscoelasticity of the plastic material. Thereafter, the film sheet is stretched in the longitudinal direction by the longitudinal stretching machine 201 and contracted in the width direction (secondary necking), stretched in the width direction by the lateral stretching machine 201, and then applied to each actuator 101 by the thickness meter 300. The thickness of the film sheet is measured at the corresponding measurement position. Based on the measurement result, the operation amount of each actuator 101 is controlled so that the thickness of the film sheet becomes a target value.

  However, due to the necking phenomenon of the film sheet, there is a problem that the operating point of the actuator 101 and the measurement position of the thickness gauge 300 are displaced, resulting in uneven thickness of the film sheet. In FIG. 10, the case where the thickness gauge 300 is disposed on the downstream side of the longitudinal stretching machine 201 and the lateral stretching machine 201 has been described. However, the longitudinal stretching machine 201 and the lateral stretching machine 201 are not provided, and the thickness gauge 300 is downstream of the base 100. The same problem arises when they are arranged in the.

  For example, in Patent Document 1, in the system identification device of a paper machine, in order to accurately detect the positional correspondence between the operation point of the actuator and the measurement point in the width direction of the sheet, in the system identification device of the paper machine, before and after the operation. A technology that emphasizes and detects the center of change by removing disturbances due to changes in extrusion pressure, noise, etc. by eliminating factors other than the expected thickness change from the spread of the manipulated variable in the width direction by wavelet transform. Disclosure.

JP-A-9-49185

  However, in the technique of the above-mentioned Patent Document 1, when the disturbance due to extrusion change or noise becomes a value close to the thickness change assumed from the width direction expansion of the operation amount, it is difficult to detect the change center, and thus the disturbance is In some cases, there is a problem that the position correspondence between the operating point of the actuator and the measurement point in the width direction of the sheet cannot be detected with high accuracy.

The present invention has been made in view of the above, and an actuator capable of detecting the positional correspondence between the operation point of the actuator and the measurement point in the width direction of the sheet with high accuracy without being affected by disturbance. An object of the present invention is to provide a measurement point associating device, an actuator and a measurement point associating method, and a program executed by a computer.

  In order to solve the above-described problems and achieve the object, according to the actuator and the measurement point associating device according to the present invention, a plurality of actuators arranged in the width direction of the sheet and arranged downstream of the plurality of actuators In the plant having a measuring means for measuring the thickness of the sheet at a plurality of measurement points in the width direction of the sheet, an actuator and a measurement point associating device for detecting a corresponding position of the actuator and the measurement point, The change in thickness of the sheet when the operation amount of the actuator is changed in a time-series predetermined pattern is calculated in advance as a predicted value using a calculation model, and the plurality of actuators are operated in the predetermined pattern. In this case, an actual measurement value measured by the measurement unit is acquired, and time series data of the predicted value and the actual measurement value Calculating a correlation, on the basis of the correlation values, and detecting the corresponding positions of the measurement points and the respective actuator.

  The present invention calculates a predicted value using a calculation model for the thickness change at the time of operating the actuator, calculates a correlation of the time series data between the predicted value and the actual measured value, and based on the correlation value, Since the corresponding position between the actuator and the measurement point is detected, that is, the process in which the sheet thickness changes with time after changing the amount of operation of the actuator is compared with the predicted value, and is the best match with the predicted value. Since the disturbance removal is performed by extracting only the components, the disturbance removal effect is high, and the position correspondence between the operation point of the actuator and the measurement point in the sheet width direction is detected with high accuracy without being affected by the disturbance. be able to.

  Further, according to the actuator and the measurement point associating device according to the present invention, the predetermined pattern is a step-like pattern. Thereby, measurement time can be shortened and the cost required for detection can be reduced.

  Further, according to the actuator and the measuring point matching apparatus according to the present invention, the correlation is obtained by covariance, cross correlation function, product of covariance and cross correlation function, window function and product of covariance or cross correlation function. It is either. As a result, the correlation between the predicted value and the actual measurement value can be calculated easily and with high accuracy.

  Further, according to the actuator and the measurement point associating device according to the present invention, the measurement point at which the correlation value becomes the maximum value is set as the corresponding position. As a result, the corresponding position can be easily calculated with high accuracy.

  Further, according to the actuator and the measurement point associating device according to the present invention, a range in which the correlation value is equal to or greater than a threshold value is cut out, and a measurement point that is an intermediate value or a center of gravity value is set as the corresponding position. . As a result, the corresponding position can be easily calculated with high accuracy.

  Further, according to the actuator and the measurement point associating device according to the present invention, in addition to the correspondence between the detected corresponding positions, a high frequency component in the width direction of the sheet is removed. Thereby, the position error can be reduced by utilizing the property that the positions of the corresponding points (corresponding positions) located in the vicinity do not vary greatly in the width direction.

  Further, according to the actuator and the measurement point associating device according to the present invention, an average of the result of interpolation from other corresponding positions detected in the past by the least square method or the like and the corresponding position detected this time is finally obtained. It is characterized by a corresponding position. As a result, it is possible to eliminate false detection due to sudden noise by ensuring consistency with other corresponding points.

  In order to solve the above-described problems and achieve the object, according to the actuator and the measurement point associating method according to the present invention, a plurality of actuators arranged in the width direction of the sheet, and a downstream side of the plurality of actuators. In a plant having a measuring means that is arranged and that measures the thickness of the sheet at a plurality of measurement points in the width direction of the sheet, the actuator and a measurement point association method for detecting a corresponding position of the measurement point. Calculating a change in the thickness of the sheet when the operation amount of the actuator is changed in a predetermined time-series pattern as a predicted value using a calculation model; and the plurality of actuators in the predetermined pattern A step of acquiring an actual measurement value measured by the measurement means, and the predicted value and the actual measurement value. When calculating the correlation of time series data, based on the correlation value, characterized in that it comprises a step of detecting the corresponding positions of the measurement points and the respective actuators.

  Further, according to the actuator and the measurement point association method according to the present invention, the predetermined pattern is a step pattern.

  Further, according to the actuator and the measuring point association method according to the present invention, the correlation is obtained by: It is either.

  Further, according to the actuator and the measurement point association method according to the present invention, the measurement point having the maximum correlation value is set as the corresponding position.

  Further, according to the actuator and the measurement point association method according to the present invention, a range in which the correlation value is equal to or greater than a threshold value is cut out, and a measurement point that is an intermediate value or a centroid value is set as the corresponding position. .

  In addition, according to the actuator and measurement point association method according to the present invention, in addition to the detected correspondence positions, high frequency components are removed in the width direction of the sheet.

  Further, according to the actuator and the measurement point association method according to the present invention, the result of interpolating from other corresponding positions detected in the past by the least square method or the like and the corresponding position detected this time is finally obtained. It is characterized by a corresponding position.

  Moreover, according to the program for the computer to execute by this invention, it makes a computer perform each process of the above-mentioned actuator and a measuring point matching method. Thereby, the control method of the above-mentioned sheet manufacturing apparatus is realizable using a computer.

  According to the present invention, a predicted value is calculated using a calculation model for a change in thickness at the time of operating the actuator, a correlation between the predicted value and the actual measurement value is calculated, and based on the correlation value. Since the corresponding position of each actuator and measurement point is detected, it is possible to detect the position correspondence between the operation point of the actuator and the measurement point in the width direction of the sheet with high accuracy without being affected by disturbance. Become.

  Hereinafter, the present invention will be described in detail with reference to the drawings. Note that the present invention is not limited to the embodiments. In addition, constituent elements in the following embodiments include those that can be easily assumed by those skilled in the art or those that are substantially the same. In the following embodiment, a sheet manufacturing apparatus will be exemplified and described as a plant.

  FIG. 1 is a diagram illustrating a configuration example of a sheet manufacturing apparatus 1 to which an actuator and a measurement point association device and an actuator and a measurement point association method according to the present invention are applied. As shown in FIG. 1, the sheet manufacturing apparatus 1 includes a stretching machine 12, an extruder 13, a base 14, a cooling roll 15, a winder 16, a transport roll 17, a thickness gauge 18, and a control device 19.

From the extruder 13, the heated and melted resin is extruded. A base 14 is connected to the extruder 13. The base 14 has a long slit, and the molten resin is cooled by a cooling roll 15 and solidified. The sheet-like resin is transported through the transport roll 17 and stretched by the stretching machine 12. The stretching machine 12 stretches the sheet 11 in the longitudinal direction and / or the width direction.
The thickness of the sheet 11 coming out from the stretching machine 12 is measured by a thickness gauge 18. Thereafter, the sheet is conveyed through a conveyance roll 17 and wound up by a winder 16.

  The thickness gauge 18 is connected to the control device 19, measures the thickness of the sheet 11 at a plurality of measurement points in the width direction of the sheet 11, and transmits a signal indicating the thickness of the sheet measured at each measurement point to the control device 19. To do. The thickness gauge 18 may be either a contact type or a non-contact type, but a non-contact type is preferable because there is little risk of damaging the sheet 11. Examples of the non-contact type thickness gauge include a light absorption type utilizing β-rays, X-rays, infrared rays and the like in addition to the optical interference type.

  The control device 19 includes an actuator, a measurement point association means 41 (see FIG. 8), and a sheet thickness control means 42 (see FIG. 8), and the thickness gauge 18 and the actuator 20 of the base 14 (see FIG. 2). It is connected to the. The actuator and measurement point associating means 41 detects the corresponding position of each actuator 20 and the measurement point of the thickness gauge 18. The sheet thickness control means 42 controls the actuator 20 of the base 14 based on a signal indicating the thickness of the sheet 11 input from the thickness gauge 18.

  FIG. 2 is a diagram showing a configuration example of the base 14. The base 14 includes a large number of actuators 20 arranged in the longitudinal direction of the slit. The actuator 20 is connected to the control device 19 and adjusts the thickness of the sheet 11 coming out of the slit 21 by a signal from the control device 19.

  As the actuator 20, for example, a bolt material that pushes and pulls the slit 21 with a screw, a heat bolt that pushes and pulls the slit 21 by incorporating a heater inside and controlling thermal expansion according to the amount of heating of the heater, and the like. There is. Alternatively, it is possible to adjust the thickness of the sheet 11 by utilizing the fact that the resin flow rate increases when a part of the slit 21 is heated.

  FIG. 3 is a flowchart for explaining the control of the actuator and the measurement point association unit 41. In FIG. 3, first, the actuator and the measurement point association unit 41 execute an initial calculation process (step S1). Specifically, the response data (the time-series data of predicted values) Tpp of the thickness change of the sheet 11 when the operation amount of the actuator 20 is changed in a predetermined time-series pattern is calculated by a calculation model for Tptn [sec]. calculate.

  FIG. 4 is a diagram illustrating an example of a predetermined pattern, and FIG. 5 is a diagram illustrating an example of response data (template) Tpp corresponding to the predetermined pattern of FIG. In FIG. 4, the horizontal axis indicates time T, and the vertical axis indicates the operation amount of the actuator. The pattern shown in FIG. 4 is a step pattern. In FIG. 5, the horizontal axis indicates time T, and the vertical axis indicates the rate of change in thickness. In order to shorten the measurement time, it is desirable that the time series observation period of the response data is a predetermined multiple of the time constant from the operation to the measurement value. The predetermined pattern and its response data may be stored in advance as a table.

  Next, the combination C of the actuators 20 to be operated at a time is determined. For example, when the distance between the actuators 20 where the mutual interference between the actuators 20 can be ignored is eight, it can be a combination of eight units. For example, in the case of the combination of 8 intervals C = 1 to 8, the actuator 20 is driven with the following combination (where No is the number of the actuator 20).

C = 1: No1, No9, No17, No25, ...
C = 2: No2, No10, No18, No26, ...
C = 3: No3, No11, No19, No27, ...
C = 4: No4, No12, No20, No28, ...
C = 5: No5, No13, No21, No29, ...
C = 6: No6, No14, No22, No30, ...
C = 7: No7, No15, No23, No31, ...
C = 8: No8, No16, No24, No32, ...

  Note that the combination C of the actuators 20 to be operated at one time may be any one, for example, one unit. In order to shorten the convergence calculation time, it is desirable to prepare an initial value of the corresponding position between the actuator 20 and the measurement point.

  In heater output pattern output processing (step S4), response data processing (step S5), provisional corresponding position determination processing (step S6), and corresponding position correction processing (step S7) described later, initial value calculation processing (step S1) is performed. The actuator 20 is driven with the generated predetermined pattern, a response pattern that appears as a change in sheet thickness is detected, and a corresponding position (response center point) of the measurement point of each actuator 20 is calculated. These heater output pattern output processing (step S4), response data processing (step S5), provisional corresponding position determination processing (step S6), and corresponding position correction processing (step S7) are executed N times, each time the actuator 20 And the corresponding position of the measurement point is updated.

  The actuator and measurement point association means 41 initializes the counter I and sets the counter I = 0 (step S2), then increments the counter I by “1” and sets the counter I = I + 1 (step S3).

  The actuator and measurement point association means 41 execute heater output pattern output processing (step S4). Specifically, with the combination C of the actuators 20 determined in step S1, the actuator operation amount is changed in the predetermined pattern for Tptn [sec]. The other actuators 20 hold current values.

  At the same time, the actuator and the measurement point association means 41 execute response data processing (step S5). Specifically, the measurement value (actual measurement value) of the change in the sheet thickness changed in step S4 is acquired for each measurement cycle of the thickness gauge 18. FIG. 6 is a diagram for explaining an example of the actual measurement value of the sheet thickness change amount corresponding to the actuator 20 (No. 12). In the figure, the horizontal axis represents the number of samplings, and the vertical axis represents the change in sheet thickness (μm).

  Then, the covariance between the actual measurement value and the response data (predicted value) Tpp is calculated for each measurement point by the following equation (1). At this time, the measurement value at each measurement point is substituted into y (n).

  Next, the actuator and measurement point association means 41 execute a provisional corresponding position determination process (step S6). Specifically, a range in which the covariance value is equal to or greater than a threshold is cut out, and the intermediate value or centroid value is set as a temporary corresponding position p of the measurement point corresponding to the actuator 20. Here, a case has been described in which the range in which the covariance value is cut out is greater than or equal to the threshold value. However, when the operation amount of the actuator 20 is increased or decreased, a range in which the change in thickness follows and increases may be cut out. FIG. 7 is a diagram illustrating an example of a change in thickness when the operation amount of the actuator 20 is increased or decreased. In the figure, the horizontal axis indicates measurement points and the vertical axis indicates covariance. Further, the measurement point that gives the maximum value of the covariance value may be set as the temporary corresponding position p of the measurement point corresponding to the actuator 20.

  In the embodiment, the covariance is used when calculating the correlation of the time series data between the predicted value and the actual measurement value, but the present invention is not limited to this, and the cross-correlation function, The product of covariance and cross-correlation function, or the product of window function and covariance or cross-correlation function may be used.

The following formula (2) shows a calculation formula of the cross correlation function.

  As the window function W (u), for example, various window functions such as a Hanning window and a Blackman window can be used. The following formula (3) is an example.

  Next, the actuator and the measurement point association unit 41 execute a corresponding position correction process (step S7). Specifically, for the temporary corresponding positions p of the measurement points corresponding to each actuator 20, M corresponding temporary corresponding positions p adjacent to both sides are selected, and the corresponding positions are corrected by the following equation (4).

  In the above equation (4), α (j) = 1 / (2 · M + 1) (for all j), and for each obtained corresponding position, a high spatial frequency component in the width direction is removed. Also good.

  Further, in the above formula (4), when M = 1, α (0) = 0.5, α (1) = α (−1) = 0.25, it was obtained from the adjacent corresponding position by the least square method. The average of the value and the provisional corresponding position is taken. According to this, position correction can be performed in the direction of the intermediate point between the two adjacent corresponding positions.

  Thereafter, the actuator and the measurement point association means 41 determine whether or not the counter I ≧ N (step S8). If the counter I ≧ N (“Yes” in step S8), the flow On the other hand, if counter I ≧ N is not satisfied (“No” in step S8), the process returns to step S3, and the same processing is repeatedly executed until counter I ≧ N (step S3 to step S7).

  FIG. 8 is a diagram illustrating the configuration of the control device 19. The control device 19 includes an actuator and measurement point association means 41, a sheet thickness control means 42, and changeover switches 43 and 44.

  The changeover switch 43 switches the connection with the actuator 20 between the measurement point association means 41 and the sheet thickness control means 42 of the actuator. The changeover switch 44 switches the connection with the thickness gauge 18 between the actuator, the measurement point association means 41 and the sheet thickness control means 42.

  The change-over switches 43 and 44 connect the actuator and the measurement point association unit 41 to the actuator 20 and the thickness gauge 18 when the actuator and the measurement point association unit 41 associate the actuator and the measurement point. As described above, the actuator and measurement point association means 41 detect the corresponding position between each actuator 20 and the measurement point of the thickness gauge 18 and output the detection result to the sheet thickness control means 42.

  The change-over switches 43 and 44 connect the sheet thickness control means 42 to the actuator 20 and the thickness gauge 18 when the sheet thickness control means 42 performs sheet thickness control. The sheet thickness control means 42 controls the operation amount of the actuator 20 of the base 14 based on the thickness measurement value of the sheet 11 input from the thickness gauge 18. In this case, the sheet thickness control unit 42 uses the thickness measurement value of the corresponding position between each actuator 20 and the measurement point of the thickness gauge 18 detected by the actuator and the measurement point association unit 41 to Control the amount of operation. Thereby, the sheet | seat of uniform thickness can be manufactured.

  As described above, according to the above-described embodiment, the actuator and the measurement point association unit 41 calculate the predicted value using the calculation model for the change in thickness when the actuator 20 is operated. Calculate the correlation of measured data with time series data (eg, covariance, cross-correlation function, product of covariance and cross-correlation function, product of window function and covariance or cross-correlation function). Since the corresponding positions of the measurement points of each actuator 20 and the thickness gauge 18 are detected based on this, that is, the process in which the sheet thickness changes with time after the operation amount of the actuator is changed is compared with the predicted value. Since only the component that most closely matches the predicted value is extracted and the disturbance is removed, the disturbance removal effect is high, and the operation point of the actuator 20 and the width direction of the seat 11 are not affected by the disturbance. The position correspondence between measurement points can be detected with high accuracy.

  In the above-described embodiment, a program for realizing the function of the control device 19 is recorded on the computer-readable recording medium 60 shown in FIG. 9, and the program recorded on the recording medium 60 is the same. Each function may be realized by being read and executed by the computer 50 shown in the figure.

  A computer 50 shown in the figure includes a CPU (Central Processing Unit) 51 that executes the above-described program, an input device 52 such as a keyboard and a mouse, a ROM (Read Only Memory) 53 that stores various data, an operation parameter, and the like. RAM (Random Access Memory) 54, a reading device 55 for reading a program from a recording medium 60, and an output device 56 such as a display and a printer.

  The CPU 51 implements the above-described functions by reading the program recorded on the recording medium 60 via the reading device 55 and then executing the program. Examples of the recording medium 60 include an optical disk, a flexible disk, and a hard disk.

  As described above, the actuator and measurement point association apparatus, the actuator and measurement point association method, and the program to be executed by the computer according to the present invention include various types such as a sheet manufacturing apparatus, an extrusion molding machine, a paper machine, and a coater. It can be used for a plant.

It is a figure which shows the structure of the sheet manufacturing apparatus which concerns on one Example of this invention. It is a figure which shows the structure of a nozzle | cap | die. It is a figure which shows the flow for demonstrating control of an actuator and a measurement point matching means. It is a figure which shows an example of the predetermined pattern which operates an actuator. It is a figure which shows an example of the response data (template) corresponding to the predetermined pattern of FIG. It is a figure for demonstrating an example of the actual measurement value of thickness variation. It is a figure which shows an example of the covariance at the time of changing the operation amount of an actuator to an up-down direction. It is a figure which shows the structural example of the control apparatus of FIG. It is a figure which shows one Example of this invention. It is a figure for demonstrating a necking phenomenon.

Explanation of symbols

DESCRIPTION OF SYMBOLS 1 Sheet manufacturing apparatus 11 Sheet 12 Stretching machine 13 Extruder 14 Base 15 Cooling roll 16 Winding machine 17 Conveyance roll 18 Thickness meter 19 Controller 20 Actuator 21 Slit 41 Actuator and measuring point correspondence means 42 Sheet thickness control means 43, 44 Changeover switch 50 Computer 51 CPU
52 Input device 53 ROM
54 RAM
55 Reading device 56 Output device 60 Recording medium

Claims (15)

In a plant having a plurality of actuators arranged in the width direction of the sheet, and measuring means arranged on the downstream side of the plurality of actuators and measuring the thickness of the sheet at a plurality of measurement points in the width direction of the sheet, An actuator and a measurement point associating device for detecting a corresponding position between the actuator and the measurement point,
The thickness change of the sheet when the operation amount of the actuator is changed in a predetermined pattern in time series is calculated as a predicted value in advance using a calculation model,
When operating the plurality of actuators in the predetermined pattern, to obtain the actual measurement value measured by the measurement means,
Correlation of time series data between the predicted value and the actual measurement value is calculated, and a corresponding position between each actuator and the measurement point is detected based on the correlation value. apparatus.   The actuator and the measurement point associating device according to claim 1, wherein the predetermined pattern is a step pattern.   The correlation is any one of covariance, a cross correlation function, a product of covariance and a cross correlation function, and a product of a window function and a covariance or a cross correlation function. The actuator and measurement point associating device described in 1.   4. The actuator and measurement point associating device according to claim 1, wherein a measurement point having the maximum correlation value is set as the corresponding position. 5.   The actuator according to any one of claims 1 to 3, wherein a range where the correlation value is equal to or greater than a threshold is cut out, and a measurement point that is an intermediate value or a center of gravity value is set as the corresponding position. And measuring point mapping device.   6. In addition to each detected corresponding position correspondence, a high frequency component in the width direction of the sheet is removed, and the actuator and measurement point correspondence according to claim 1 apparatus.   Actuator and measurement point associating device characterized in that an average of a result of interpolation from other corresponding positions detected in the past by a least square method or the like and the corresponding position detected this time is a final corresponding position . In a plant having a plurality of actuators arranged in the width direction of the sheet, and measuring means arranged on the downstream side of the plurality of actuators and measuring the thickness of the sheet at a plurality of measurement points in the width direction of the sheet, An actuator and a measurement point association method for detecting a corresponding position between the actuator and the measurement point,
Calculating the thickness change of the sheet when the operation amount of the actuator is changed in a time-series predetermined pattern as a predicted value using a calculation model;
A step of obtaining actual measurement values measured by the measurement means when the plurality of actuators are operated in the predetermined pattern;
Calculating a correlation of time series data between the predicted value and the actual measurement value, and detecting a corresponding position between each actuator and the measurement point based on the correlation value;
A method for associating an actuator with a measurement point, comprising:   The method according to claim 8, wherein the predetermined pattern is a step-like pattern.   10. The correlation according to claim 8, wherein the correlation is one of covariance, a cross correlation function, a product of covariance and a cross correlation function, and a product of a window function and a covariance or a cross correlation function. A method for associating the actuator with the measurement point described in 1.   11. The method according to claim 8, wherein a measurement point having the maximum correlation value is set as the corresponding position.   11. The actuator according to claim 8, wherein a range in which the correlation value is equal to or greater than a threshold value is cut out, and a measurement point that is an intermediate value or a center of gravity value is set as the corresponding position. And measuring point mapping method.   The actuator according to any one of claims 8 to 12, wherein a high frequency component is removed in the width direction of the sheet in addition to each detected corresponding position correspondence. Method.   The average of the result of interpolation from other corresponding positions detected in the past by the least square method or the like and the corresponding position detected this time is defined as the final corresponding position. The actuator according to any one of the above and a measurement point associating method.   A program for causing a computer to execute the actuator according to any one of claims 8 to 14 and the measurement point associating method.

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