WO2002003152A3 - Computer method and apparatus for constraining a non-linear approximator of an empirical process - Google Patents

Computer method and apparatus for constraining a non-linear approximator of an empirical process Download PDF

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Publication number
WO2002003152A3
WO2002003152A3 PCT/US2001/020218 US0120218W WO0203152A3 WO 2002003152 A3 WO2002003152 A3 WO 2002003152A3 US 0120218 W US0120218 W US 0120218W WO 0203152 A3 WO0203152 A3 WO 0203152A3
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WO
WIPO (PCT)
Prior art keywords
linear
stage
approximator
model
constrained
Prior art date
Application number
PCT/US2001/020218
Other languages
French (fr)
Other versions
WO2002003152A2 (en
Inventor
Paul Turner
John P Guiver
Brian Lines
S Steven Treiber
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Aspen Technology Inc
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Publication date
Application filed by Aspen Technology Inc filed Critical Aspen Technology Inc
Priority to JP2002508154A priority Critical patent/JP4918207B2/en
Priority to DE60102242T priority patent/DE60102242T2/en
Priority to EP01946713A priority patent/EP1295185B9/en
Priority to CA2414707A priority patent/CA2414707C/en
Priority to AT01946713T priority patent/ATE261137T1/en
Publication of WO2002003152A2 publication Critical patent/WO2002003152A2/en
Publication of WO2002003152A3 publication Critical patent/WO2002003152A3/en

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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
    • 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

Abstract

A constrained non-linear approximator for empirical process control is disclosed. The approximator contains the behavior of the derivative of a subject empriical model without adversely affexting the ability of the model to represent generic non-linear relationships. There are threee stages to developing the constrained non-linear approximator. The first stage is the specification of the general shape of the gain trajectory or base non-linear function which is specified graphically, algebraically or generaiclly and is used as the basis for transfer functions used in the second stage. The second stage of the invention is the interconnection of the transfer functions to allow non-linear approxiamtion. The final stage of the invention is the constrained optimization of the model coefficients such that the general shape of the input/output mappings (and their corresponding derivatives) are conserved.
PCT/US2001/020218 2000-06-29 2001-06-27 Computer method and apparatus for constraining a non-linear approximator of an empirical process WO2002003152A2 (en)

Priority Applications (5)

Application Number Priority Date Filing Date Title
JP2002508154A JP4918207B2 (en) 2000-06-29 2001-06-27 Computer system and method for constraining nonlinear approximation of empirical processes.
DE60102242T DE60102242T2 (en) 2000-06-29 2001-06-27 COMPUTER PROCESS AND DEVICE FOR RESTRICTING A NON-LINEAR APPROACH APPROACH OF AN EMPIRICAL PROCESS
EP01946713A EP1295185B9 (en) 2000-06-29 2001-06-27 Computer method and apparatus for constraining a non-linear approximator of an empirical process
CA2414707A CA2414707C (en) 2000-06-29 2001-06-27 Computer method and apparatus for constraining a non-linear approximator of an empirical process
AT01946713T ATE261137T1 (en) 2000-06-29 2001-06-27 COMPUTER METHOD AND DEVICE FOR LIMITING A NON-LINEAR EQUATION APPROXIMATION OF AN EMPIRICAL PROCESS

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US21487500P 2000-06-29 2000-06-29
US60/214,875 2000-06-29

Publications (2)

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WO2002003152A2 WO2002003152A2 (en) 2002-01-10
WO2002003152A3 true WO2002003152A3 (en) 2002-07-25

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PCT/US2001/020218 WO2002003152A2 (en) 2000-06-29 2001-06-27 Computer method and apparatus for constraining a non-linear approximator of an empirical process

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US (3) US7330804B2 (en)
EP (1) EP1295185B9 (en)
JP (1) JP4918207B2 (en)
AT (1) ATE261137T1 (en)
CA (2) CA2696152A1 (en)
DE (1) DE60102242T2 (en)
WO (1) WO2002003152A2 (en)

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