G - Physics – 05 – B
Patent
G - Physics
05
B
G05B 17/02 (2006.01)
Patent
CA 2414707
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.
L'invention concerne un approximateur non linéaire contraint utilisé dans la commande d'un processus empirique. L'approximateur contraint le comportement du dérivé d'un modèle empirique d'un sujet sans porter atteinte à la capacité du modèle de représenter des relations non linéaires génériques. Le développement de l'approximateur non linéaire contraint comprend trois étapes. La première étape consiste à spécifier la forme générale de la trajectoire de gain ou fonction non linéaire de base qui est spécifiée graphiquement, algébriquement ou génériquement et qui sert de base aux fonctions de transfert utilisées dans la seconde étape. La seconde étape consiste à interconnecter les fonctions de transfert de manière à obtenir une approximation non linéaire. L'étape finale consiste enfin à optimiser par contrainte les coefficients du modèle de façon que la forme générale des mises en correspondance d'entrée/sortie (et leurs dérivés correspondants) soit conservée.
Guiver John P.
Lines Brian
Treiber S. Steven
Turner Paul
Aspen Technology Inc.
Borden Ladner Gervais Llp
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