US20020019722A1 - On-line calibration process - Google Patents
On-line calibration process Download PDFInfo
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- US20020019722A1 US20020019722A1 US09/892,417 US89241701A US2002019722A1 US 20020019722 A1 US20020019722 A1 US 20020019722A1 US 89241701 A US89241701 A US 89241701A US 2002019722 A1 US2002019722 A1 US 2002019722A1
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B13/00—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
- G05B13/02—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
- G05B13/0265—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric the criterion being a learning criterion
- G05B13/027—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric the criterion being a learning criterion using neural networks only
-
- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B13/00—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
- G05B13/02—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
-
- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B17/00—Systems involving the use of models or simulators of said systems
- G05B17/02—Systems involving the use of models or simulators of said systems electric
Definitions
- the present invention relates to an automatic online calibration of input/output models.
- QE Quality Estimators
- QE's are usually identified from collected process data.
- a QE has to be calibrated using historic quality measurements, which can be taken on-line or off-line depending on the type of process and/or the type of measurement envisaged, so as to minimize, or preferably avoid, any drift in the predicted quality.
- QE's are preferably used in situations which allow rather infrequent and/or delayed measurements of product quality. This may be the case when, for instance, the amount of time needed to produce the measured value is rather long or when the method is relatively costly.
- the Robust Quality Estimator (RQE) provides a more accurate and robust quality prediction which improves the performance of any quality control scheme in which it is applied. For instance, it improves the performance of a linear model predictive controller when the process is such that the steady-state gains and/or the dynamics (such as the deadtime) between the manipulated variables and the controlled quality are varying in an unpredictable manner within certain identified boundaries. Moreover, is can also be used to facilitate closed-loop control of any process variable with a difficult dynamic behaviour.
- the present invention therefore relates to a method for automatic on-line calibration of process models for real-time prediction of process quality from raw process measurements which method comprises the steps of collecting raw process data, processing data collected through a mathematical model to obtain a prediction of the quality, processing this prediction through two independent dynamic transfer functions thus creating two intermediate signals, storing the two intermediate signals obtained as a function of time in history, retrieving, at the time of a real and validated measurement of the quality, from the history the absolute minimum and maximum values of the two intermediate signals in the time period corresponding to a minimum and maximum specified deadtime, which values define the minimum and maximum prediction possible, calculating the deviation as being the difference between the real and validated measurement and the area encompassed between the minimum and maximum prediction possible as obtained, and repeating these steps if the absolute value of the deviation obtained is zero, or, if the absolute value of the deviation obtained is larger than zero, incorporating the deviation into the process model and repeating the steps.
- the collection of raw process data to be used in the method according to the present invention can be carried out by methods known in the art. It is customary in process control technology to measure data at a number of points over a period of time. For instance, in refining operations, operating parameters such as temperature, pressure and flow are normally measured at frequent intervals, or even in a continuous manner and they can be stored and processed in many ways as is known to those skilled in the art.
- An essential step in the method for automatic on-line calibration is the calculation of the minimum and maximum prediction possible at the time of the real and validated measurement(s) of the quality.
- This can be achieved by applying two independent dynamic transfer functions (so-called uncertain dynamics) to the undelayed real time, thus creating two (independent) intermediate signals.
- uncertain dynamics independent dynamic transfer functions
- These intermediate signals are stored as a function of time in history. This will result in essence in an (uncertainty) area in which the actual process response should be placed and which will become very narrow when reaching the steady-state situation. It is also possible that the uncertainty area is reduced to a line corresponding to the event in which the two independent dynamic transfer functions are identical.
- the so-called minimum and maximum prediction possible are obtained by calculating from the history the absolute minimum and maximum values of these two intermediate signals in the time period corresponding to a minimum and maximum specified deadtime.
- the area Before reaching the steady-state situation, the area can be very wide.
- the state of the art systems will either only calibrate during steady-state or have the risk of making a false calibration in case the real and validated measurement(s) of the quality is within the above mentioned area.
- the method according to the present invention is specifically designed to calibrate only when the real and validated measurement(s) of the quality are outside the uncertainty area, thus preventing instabilities in closed-loop.
- the calibration process is carried out by calculating the deviation (so-called prediction error) as being the distance between the real and validated measurement and the area encompassed between the minimum and maximum prediction possible as obtained from the earlier calculation.
- the deviation found will not be used as further input in the calibration process but the system will continue by repeating the steps carried out up till now as there is no need to refine the system. If, however, the deviation as calculated shows that the absolute value of the deviation is larger than zero, the deviation obtained will be incorporated into the process model and the previous steps will be repeated. The net result will be the generation of a modified, more precise, prediction model which will then serve as the basis for further modifications depending on the level of deviations being observed during the course of the calibrating process.
- Kalman filter When incorporation of the allowed deviation into the process model is envisaged with the use of a Kalman filter the result will be that the deviation can be incorporated into the mathematical model by adjusting its linear parameters thereby updating the prediction band and improving the mathematical model.
- the use of a Kalman filter is well known in the art of process control operations. Reference is made in this respect to “Stochastic Processes and Filtering Theory” by Jazwinski (Academic Press, Mathematics and Science and Engineering, Vol. 64, 1970). Since Kalman filters are, in essence, optimal stochastic filters, they also filter out, or even eliminate, the noise on the measured quality which makes them very suitable for use in the method according to the present invention.
- Kalman filters is not limited to calibration operations which are carried out under non steady-state conditions as it is equally capable of providing useful information when a process is being operated under steady-state conditions. Under such conditions it has the additional advantage that it will reduce the prediction error in the future which makes the QE part of a learning system which is upgrading itself when applied in practice.
- the calibration process as described in the present invention can be extrapolated for robust multivariable predictive controllers to cover uncertain dynamics in the control model for all the transfer functions between the manipulated variables and the controlled variables.
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- Engineering & Computer Science (AREA)
- Artificial Intelligence (AREA)
- Physics & Mathematics (AREA)
- Automation & Control Theory (AREA)
- Evolutionary Computation (AREA)
- General Physics & Mathematics (AREA)
- Computer Vision & Pattern Recognition (AREA)
- Software Systems (AREA)
- Medical Informatics (AREA)
- Health & Medical Sciences (AREA)
- Feedback Control In General (AREA)
- Management, Administration, Business Operations System, And Electronic Commerce (AREA)
- Testing, Inspecting, Measuring Of Stereoscopic Televisions And Televisions (AREA)
Abstract
Method for automatic on-line calibration of process models for real-time prediction of process quality from raw process measurements by collecting raw process data, processing data collected through a mathematical model to obtain a prediction of the quality, processing this prediction through two independent dynamic transfer functions thus creating two intermediate signals, storing the two intermediate signals obtained as a function of time in history, retrieving, at the time of a real and validated measurement of the quality, from the history the absolute minimum and maximum values of the two intermediate signals in the time period corresponding to a minimum and maximum specified deadtime, which values define the minimum and maximum prediction possible, calculating the deviation as being the difference between the real and validated measurement and the area encompassed between the minimum and maximum prediction possible as obtained, and repeating these steps if the absolute value of the deviation obtained is zero, or, if the absolute value of the deviation obtained is larger than zero, incorporating the deviation into the process model and repeating the steps. By using a Kalman filter method for incorporating the deviation into the mathematical model its linear parameters will be updated, thereby improving the model. The calibration process with the Kalman filter can be applied under non steady-state conditions.
Description
- 1. Field of the Invention
- The present invention relates to an automatic online calibration of input/output models.
- 2. Description of Related Art
- It is known in process control systems to use one or more so-called Quality Estimators (hereinafter referred to as QE) in the real time prediction of certain, preferably, key process quality and/or property parameters (normally referred to as outputs) from readily available raw process measurements (normally referred to as inputs). Thus, QE is in essence a mathematical input/output process designed at predicting relevant process values.
- QE's are usually identified from collected process data. In order to have a useful meaning in real time implementation a QE has to be calibrated using historic quality measurements, which can be taken on-line or off-line depending on the type of process and/or the type of measurement envisaged, so as to minimize, or preferably avoid, any drift in the predicted quality. QE's are preferably used in situations which allow rather infrequent and/or delayed measurements of product quality. This may be the case when, for instance, the amount of time needed to produce the measured value is rather long or when the method is relatively costly.
- There are a number of difficulties to be faced in the process of automatic on-line calibration of QE's such as the occurrence of varying or uncertain process/measurement deadtimes and dynamics between the QE inputs and the measured qualities as well as a phenomenon normally referred to as changing of the process gains, i.e. a drift in the ratio between inputs and outputs.
- In order to combat these unwanted situations, it is customary to calibrate QE's when the process for which they are applicable is in its so-called steady-state, i.e. in the situation in which the process fluid is uniform and constant in composition, state and velocity at the entrance and at the exit of the operation. Although such calibration will give good results with respect to the system to be monitored, it is still considered to be sub-optimal as dynamic information available is not used since calibration has to wait until the process has reached a steady operating point (thereby causing the need for the presence of a steady-state detector in order to know when calibration can start). Moreover, the conventional QE's are only adjustable with respect to model bias conditions such as incorporating new operating points into the process model chosen.
- It has now been found that the disadvantages referred to hereinbefore can be minimized or even overcome by applying the process according to the present invention which allows for a real time method for automatic on-line calibration in a robust manner. The Robust Quality Estimator (RQE) according to the present invention provides a more accurate and robust quality prediction which improves the performance of any quality control scheme in which it is applied. For instance, it improves the performance of a linear model predictive controller when the process is such that the steady-state gains and/or the dynamics (such as the deadtime) between the manipulated variables and the controlled quality are varying in an unpredictable manner within certain identified boundaries. Moreover, is can also be used to facilitate closed-loop control of any process variable with a difficult dynamic behaviour.
- The present invention therefore relates to a method for automatic on-line calibration of process models for real-time prediction of process quality from raw process measurements which method comprises the steps of collecting raw process data, processing data collected through a mathematical model to obtain a prediction of the quality, processing this prediction through two independent dynamic transfer functions thus creating two intermediate signals, storing the two intermediate signals obtained as a function of time in history, retrieving, at the time of a real and validated measurement of the quality, from the history the absolute minimum and maximum values of the two intermediate signals in the time period corresponding to a minimum and maximum specified deadtime, which values define the minimum and maximum prediction possible, calculating the deviation as being the difference between the real and validated measurement and the area encompassed between the minimum and maximum prediction possible as obtained, and repeating these steps if the absolute value of the deviation obtained is zero, or, if the absolute value of the deviation obtained is larger than zero, incorporating the deviation into the process model and repeating the steps.
- The collection of raw process data to be used in the method according to the present invention can be carried out by methods known in the art. It is customary in process control technology to measure data at a number of points over a period of time. For instance, in refining operations, operating parameters such as temperature, pressure and flow are normally measured at frequent intervals, or even in a continuous manner and they can be stored and processed in many ways as is known to those skilled in the art.
- In order to get a prediction of the quality out of the raw process data collected, a mathematical model will be used. Examples of mathematical models suitable for QE are systems known in the art as Multiple Linear Regression, Linear Dynamic Model (in the Laplace transform Domain) and Radial Bias Function Neural Network (optionally with Gaussian function) Depending on the nature of the process model applied and the type of raw material data received, those skilled in the art will select the type of QE best fitting the perceived goal.
- An essential step in the method for automatic on-line calibration is the calculation of the minimum and maximum prediction possible at the time of the real and validated measurement(s) of the quality. This can be achieved by applying two independent dynamic transfer functions (so-called uncertain dynamics) to the undelayed real time, thus creating two (independent) intermediate signals. These intermediate signals are stored as a function of time in history. This will result in essence in an (uncertainty) area in which the actual process response should be placed and which will become very narrow when reaching the steady-state situation. It is also possible that the uncertainty area is reduced to a line corresponding to the event in which the two independent dynamic transfer functions are identical. The so-called minimum and maximum prediction possible are obtained by calculating from the history the absolute minimum and maximum values of these two intermediate signals in the time period corresponding to a minimum and maximum specified deadtime.
- Before reaching the steady-state situation, the area can be very wide. The state of the art systems will either only calibrate during steady-state or have the risk of making a false calibration in case the real and validated measurement(s) of the quality is within the above mentioned area. The method according to the present invention, however, is specifically designed to calibrate only when the real and validated measurement(s) of the quality are outside the uncertainty area, thus preventing instabilities in closed-loop.
- In the method according to the present invention the calibration process is carried out by calculating the deviation (so-called prediction error) as being the distance between the real and validated measurement and the area encompassed between the minimum and maximum prediction possible as obtained from the earlier calculation.
- If the calculation of the deviation as described herein above shows that the absolute value of the deviation obtained is zero, meaning that the validated and real measurement of the quality is within the uncertainty area, the deviation found will not be used as further input in the calibration process but the system will continue by repeating the steps carried out up till now as there is no need to refine the system. If, however, the deviation as calculated shows that the absolute value of the deviation is larger than zero, the deviation obtained will be incorporated into the process model and the previous steps will be repeated. The net result will be the generation of a modified, more precise, prediction model which will then serve as the basis for further modifications depending on the level of deviations being observed during the course of the calibrating process.
- When incorporation of the allowed deviation into the process model is envisaged with the use of a Kalman filter the result will be that the deviation can be incorporated into the mathematical model by adjusting its linear parameters thereby updating the prediction band and improving the mathematical model. The use of a Kalman filter is well known in the art of process control operations. Reference is made in this respect to “Stochastic Processes and Filtering Theory” by Jazwinski (Academic Press, Mathematics and Science and Engineering, Vol. 64, 1970). Since Kalman filters are, in essence, optimal stochastic filters, they also filter out, or even eliminate, the noise on the measured quality which makes them very suitable for use in the method according to the present invention.
- It should be noted that the use of Kalman filters is not limited to calibration operations which are carried out under non steady-state conditions as it is equally capable of providing useful information when a process is being operated under steady-state conditions. Under such conditions it has the additional advantage that it will reduce the prediction error in the future which makes the QE part of a learning system which is upgrading itself when applied in practice.
- In the event that no real and validated measurement of the quality is received, calibration as defined in steps e, f and g of the claims is not carried out. The system will repeat steps a-d of the claims until a further real and validated measurement of the quality is received.
- The calibration process as described in the present invention can be extrapolated for robust multivariable predictive controllers to cover uncertain dynamics in the control model for all the transfer functions between the manipulated variables and the controlled variables.
Claims (16)
1. A method for automatic on-line calibration of process models for real-time prediction of process quality from raw process measurements comprising the steps of:
a) collecting raw process data;
b) processing data collected in step a) through a mathematical model to obtain a prediction of the quality;
c) processing said prediction through two independent dynamic transfer functions thus creating two intermediate signals;
d) storing the two intermediate signals obtained in step c) as a function of time in history;
e) retrieving at the time of a real and validated measurement of the quality, from said history, the absolute minimum and maximum value of the two intermediate signals in the time period corresponding to a minimum and maximum specified deadtime, which values define the minimum and maximum prediction possible;
f) calculating the deviation as being the difference between the real and validated measurement and the area encompassed between the minimum and maximum prediction possible as obtained in step e); and
g) proceeding with step i) if the absolute value of the deviation obtained in step f) is zero, or, if the absolute value of the deviation obtained in step f) is larger than zero,
h) incorporating the deviation into the process model, and
i) repeating steps a)-h).
2. A method according to claim 1 , in which as mathematical model a Multiple Linear Regression model is used.
3. A method according to claim 1 , in which as mathematical model a Linear Dynamic Model is used.
4. A method according to claim 1 , in which as mathematical model a Radial Basis Function Neural Network is used.
5. A method according to claim 1 , in which in step h) the deviation is incorporated into the model bias, thereby upgrading the prediction model.
6. A method according to claim 2 , in which in step h) the deviation is incorporated into the model bias, thereby upgrading the prediction model.
7. A method according to claim 3 , in which in step h) the deviation is incorporated into the model bias, thereby upgrading the prediction model.
8. A method according to claim 4 , in which in step h) the deviation is incorporated into the model bias, thereby upgrading the prediction model.
9. A method according to claim 1 , in which in step h) a Kalman filter method is used to incorporate the deviation into the mathematical model by adjusting its linear parameters thereby upgrading the prediction and improving the mathematical model by self learning.
10. A method according to claim 2 , in which in step h) a Kalman filter method is used to incorporate the deviation into the mathematical model by adjusting its linear parameters thereby upgrading the prediction and improving the mathematical model by self learning.
11. A method according to claim 3 , in which in step h) a Kalman filter method is used to incorporate the deviation into the mathematical model by adjusting its linear parameters thereby upgrading the prediction and improving the mathematical model by self learning.
12. A method according to claim 4 , in which in step h) a Kalman filter method is used to incorporate the deviation into the mathematical model by adjusting its linear parameters thereby upgrading the prediction and improving the mathematical model by self learning.
13. A method according to claim 9 , in which the Kalman filter is used in step h) under non steady-state conditions of the process.
14. A method according to claim 10 , in which the Kalman filter is used in step h) under non steady-state conditions of the process.
15. A method according to claim 11 , in which the Kalman filter is used in step h) under non steady-state conditions of the process.
16. A method according to claim 12 , in which the Kalman filter is used in step h) under non steady-state conditions of the process.
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
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EP00306148 | 2000-07-19 | ||
EP00306148.8 | 2000-07-19 |
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US20020019722A1 true US20020019722A1 (en) | 2002-02-14 |
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US09/892,417 Abandoned US20020019722A1 (en) | 2000-07-19 | 2001-06-27 | On-line calibration process |
US10/333,446 Expired - Lifetime US7359830B2 (en) | 2000-07-19 | 2001-07-17 | Method for automatic on-line calibration of a process model |
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US10/333,446 Expired - Lifetime US7359830B2 (en) | 2000-07-19 | 2001-07-17 | Method for automatic on-line calibration of a process model |
Country Status (10)
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US (2) | US20020019722A1 (en) |
EP (1) | EP1301832B1 (en) |
JP (1) | JP2004510222A (en) |
KR (1) | KR100810952B1 (en) |
CN (1) | CN1193279C (en) |
AU (1) | AU2001289682A1 (en) |
CA (1) | CA2418226C (en) |
DE (1) | DE60106045T2 (en) |
RU (1) | RU2280270C2 (en) |
WO (1) | WO2002006905A2 (en) |
Cited By (3)
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US20030158680A1 (en) * | 2000-07-19 | 2003-08-21 | Wim Hupkes | On-line calibration process |
US20130006566A1 (en) * | 2010-07-02 | 2013-01-03 | Idexx Laboratories, Inc. | Automated Calibration Method and System for a Diagnostic Analyzer |
DE102006045429B4 (en) | 2005-09-30 | 2018-07-19 | Fisher-Rosemount Systems, Inc. | Adaptive, Model Predictive Online control in a process control system |
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US20050283096A1 (en) * | 2004-06-17 | 2005-12-22 | Bloorview Macmillan Children's Centre, A Corp. Registered Under The Ontario Corporations Act | Apparatus and method for detecting swallowing activity |
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US20060095312A1 (en) * | 2004-10-28 | 2006-05-04 | International Business Machines Corporation | Method, system, and storage medium for using comparisons of empirical system data for testcase and workload profiling |
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US20060156619A1 (en) * | 2004-12-24 | 2006-07-20 | Crawshaw Elizabeth H | Altering properties of fuel compositions |
US8036760B2 (en) * | 2005-10-04 | 2011-10-11 | Fisher-Rosemount Systems, Inc. | Method and apparatus for intelligent control and monitoring in a process control system |
US7738975B2 (en) * | 2005-10-04 | 2010-06-15 | Fisher-Rosemount Systems, Inc. | Analytical server integrated in a process control network |
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US8571696B2 (en) * | 2009-06-10 | 2013-10-29 | Fisher-Rosemount Systems, Inc. | Methods and apparatus to predict process quality in a process control system |
CN101859103B (en) * | 2010-06-02 | 2012-07-25 | 清华大学 | On-line calculation and self-adaptation nonlinear prediction control method of catalytic cracking reaction depth |
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2001
- 2001-06-27 US US09/892,417 patent/US20020019722A1/en not_active Abandoned
- 2001-07-17 KR KR1020037000787A patent/KR100810952B1/en active IP Right Grant
- 2001-07-17 AU AU2001289682A patent/AU2001289682A1/en not_active Abandoned
- 2001-07-17 RU RU2003104831/09A patent/RU2280270C2/en active
- 2001-07-17 DE DE60106045T patent/DE60106045T2/en not_active Expired - Lifetime
- 2001-07-17 WO PCT/EP2001/008288 patent/WO2002006905A2/en active IP Right Grant
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- 2001-07-17 CN CNB01812951XA patent/CN1193279C/en not_active Expired - Lifetime
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- 2001-07-17 JP JP2002512752A patent/JP2004510222A/en active Pending
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US6487459B1 (en) * | 1996-05-06 | 2002-11-26 | Pavilion Technologies, Inc. | Method and apparatus for modeling dynamic and steady-state processes for prediction, control and optimization |
US5918191A (en) * | 1997-03-11 | 1999-06-29 | Certified Measurements, Inc. | System and method for managing data for an equipment calibration laboratory |
US6635224B1 (en) * | 1998-10-30 | 2003-10-21 | General Electric Company | Online monitor for polymer processes |
US6532428B1 (en) * | 1999-10-07 | 2003-03-11 | Advanced Micro Devices, Inc. | Method and apparatus for automatic calibration of critical dimension metrology tool |
US20030158680A1 (en) * | 2000-07-19 | 2003-08-21 | Wim Hupkes | On-line calibration process |
Cited By (5)
Publication number | Priority date | Publication date | Assignee | Title |
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US20030158680A1 (en) * | 2000-07-19 | 2003-08-21 | Wim Hupkes | On-line calibration process |
US7359830B2 (en) * | 2000-07-19 | 2008-04-15 | Shell Oil Company | Method for automatic on-line calibration of a process model |
DE102006045429B4 (en) | 2005-09-30 | 2018-07-19 | Fisher-Rosemount Systems, Inc. | Adaptive, Model Predictive Online control in a process control system |
US20130006566A1 (en) * | 2010-07-02 | 2013-01-03 | Idexx Laboratories, Inc. | Automated Calibration Method and System for a Diagnostic Analyzer |
US9151769B2 (en) * | 2010-07-02 | 2015-10-06 | Idexx Laboratories, Inc. | Automated calibration method and system for a diagnostic analyzer |
Also Published As
Publication number | Publication date |
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EP1301832B1 (en) | 2004-09-29 |
DE60106045D1 (en) | 2004-11-04 |
DE60106045T2 (en) | 2006-02-09 |
CN1193279C (en) | 2005-03-16 |
RU2280270C2 (en) | 2006-07-20 |
EP1301832A2 (en) | 2003-04-16 |
US7359830B2 (en) | 2008-04-15 |
CN1443317A (en) | 2003-09-17 |
WO2002006905A2 (en) | 2002-01-24 |
JP2004510222A (en) | 2004-04-02 |
WO2002006905A3 (en) | 2002-05-16 |
KR20030019593A (en) | 2003-03-06 |
AU2001289682A1 (en) | 2002-01-30 |
CA2418226A1 (en) | 2002-01-24 |
CA2418226C (en) | 2011-09-20 |
US20030158680A1 (en) | 2003-08-21 |
KR100810952B1 (en) | 2008-03-10 |
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