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

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Publication number
WO2002003152A3
WO2002003152A3 PCT/US2001/020218 US0120218W WO2002003152A3 WO 2002003152 A3 WO2002003152 A3 WO 2002003152A3 US 0120218 W US0120218 W US 0120218W WO 2002003152 A3 WO2002003152 A3 WO 2002003152A3
Authority
WO
Grant status
Application
Patent type
Prior art keywords
non
linear
stage
approximator
model
Prior art date
Application number
PCT/US2001/020218
Other languages
French (fr)
Other versions
WO2002003152A2 (en )
Inventor
John P Guiver
Brian Lines
S Steven Treiber
Paul Turner
Original Assignee
Aspen Technology Inc
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date

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Classifications

    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B13/00Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
    • G05B13/02Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
    • G05B13/0265Adaptive 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
    • G05B13/027Adaptive 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
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B17/00Systems involving the use of models or simulators of said systems
    • G05B17/02Systems 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 WO2002003152A3 (en)

Priority Applications (2)

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US21487500 true 2000-06-29 2000-06-29
US60/214,875 2000-06-29

Applications Claiming Priority (5)

Application Number Priority Date Filing Date Title
CA 2414707 CA2414707C (en) 2000-06-29 2001-06-27 Computer method and apparatus for constraining a non-linear approximator of an empirical process
EP20010946713 EP1295185B9 (en) 2000-06-29 2001-06-27 Computer method and apparatus for constraining a non-linear approximator of an empirical process
DE2001602242 DE60102242T2 (en) 2000-06-29 2001-06-27 Computer method and apparatus for restricting a non-linear empirical process gleichungsnäherung a
DE2001602242 DE60102242D1 (en) 2000-06-29 2001-06-27 Computer method and apparatus for restricting a non-linear empirical process gleichungsnäherung a
JP2002508154A JP4918207B2 (en) 2000-06-29 2001-06-27 Computer system and method for constrained nonlinear approximator empirical process

Publications (2)

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

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US (3) US7330804B2 (en)
JP (1) JP4918207B2 (en)
CA (2) CA2414707C (en)
DE (2) DE60102242D1 (en)
EP (1) EP1295185B9 (en)
WO (1) WO2002003152A3 (en)

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Also Published As

Publication number Publication date Type
US8296107B2 (en) 2012-10-23 grant
DE60102242D1 (en) 2004-04-08 grant
US20020072828A1 (en) 2002-06-13 application
EP1295185A2 (en) 2003-03-26 application
EP1295185B1 (en) 2004-03-03 grant
US7330804B2 (en) 2008-02-12 grant
JP2004503001A (en) 2004-01-29 application
US20100057222A1 (en) 2010-03-04 application
CA2696152A1 (en) 2002-01-10 application
CA2414707C (en) 2011-08-16 grant
WO2002003152A2 (en) 2002-01-10 application
US7630868B2 (en) 2009-12-08 grant
DE60102242T2 (en) 2005-01-27 grant
US20080071394A1 (en) 2008-03-20 application
EP1295185B9 (en) 2005-01-05 grant
CA2414707A1 (en) 2002-01-10 application
JP4918207B2 (en) 2012-04-18 grant

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