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Discrete dynamic optimization applied to on‐line optimal control
Author(s) -
Rafal Marshall D.,
Stevens William F.
Publication year - 1968
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690140117
Subject(s) - reboiler , control theory (sociology) , fractional distillation , optimal control , mathematics , distillation , dimension (graph theory) , quadratic equation , mathematical optimization , computer science , control (management) , chemistry , chromatography , geometry , artificial intelligence , pure mathematics
A general method has been developed for controlling deterministic systems described by linear or linearized dynamics. The discrete problem has been treated in detail. Step‐by‐step optimal controls for a quadratic performance index have been derived. The method accommodates upper and lower limits on the components of the control vector. A small binary distillation unit was considered as a typical application of the method. The control vector was made up of feed rate, reflux ratio, and reboiler heat load. Control to a desired state and about a load upset was effected. Calculations are performed quite rapidly and only grow significantly with an increase in the dimension of the control vector. Extension to much larger distillation units with the same controls thus seems practical.