USE OF IDENTIFICATION EQUATIONS FOR A MODEL OF THE BLACK-BOX TYPE IN THE CASE OF ITS INSTABILITY

A chemical-engineering system represented in the form of a black box with an input and an output is considered. The heat and mass transfer in this system was defi ned with the use of ordinary differential equations with constant coeffi cients of defi nite order. A method of use of "unstable" equations for the description of practical problems is proposed. The term instability was taken to mean that a differential operator has eigenvalues with a positive real part. The coeffi cients of an equation were determined on the basis of an analysis of the curve of response of the system
to a disturbance in the form of a step. A concrete example of realization of the algorithm proposed is considered.
A chemical-engineering system represented in the form of a black box with an input and an output is considered. The heat and mass transfer in this system was defi ned with the use of ordinary differential equations with constant coeffi cients of defi nite order. A method of use of "unstable" equations for the description of practical problems is proposed. The term instability was taken to mean that a differential operator has eigenvalues with a positive real part. The coeffi cients of an equation were determined on the basis of an analysis of the curve of response of the system
to a disturbance in the form of a step. A concrete example of realization of the algorithm proposed is considered.
Author:  A. I. Moshinskii, A. V. Markova, L. N. Rubtsova V. V. Sorokin, and P. G. Ganin
Keywords:  heat and mass transfer, mathematical simulation, startup curve, identifi cation of a model, unstable behavior
Page:  1349