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A method for simplifying linear multivariable dynamic systems
Author(s) -
Gupta Y. P.,
Donnelly J. K.,
Andre H.
Publication year - 1974
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450520417
Subject(s) - multivariable calculus , control theory (sociology) , algebraic equation , impulse (physics) , algebraic number , fractionating column , computer science , matrix (chemical analysis) , mathematics , mathematical optimization , distillation , control engineering , engineering , nonlinear system , chemistry , mathematical analysis , physics , control (management) , organic chemistry , chromatography , artificial intelligence , quantum mechanics
A method for reducing the order of linear multivariable stable dynamic systems is proposed. The main advantage of this method is that the problem of determining a simplified model is reduced to few matrix manipulations and solution of a few algebraic equations which can be easily programed. The simplified model is obtained so that a quadratic functional of the difference between the output vector and that of the original model is automatically minimized for either step or impulse inputs. Applications of the method include simplification of a dynamic model of a pilot plant for the azeotropic distillation of n‐butyl acetate and n‐butanol. Very good agreement between the step responses of the original and simplified model is obtained.