In a centralized control system of chemical production processes the common stochastic optimization problem can be adapted to the peculiarities and variability of each individual process.
Smnmary--This paper is devoted to steady-state optimizing control of a group of single-reactor continuous chemical processes. A generalized model has been developed, based on the heat and mass balance equations in matrix form. The least squares estimators of the process variables are presented. The optimization problem is formulated as a chance constrained programming problem under uncertainty and its "confidence equivalent" is proposed.
An open-loop system has been developed for set-point control of a group of formaldehyde processes using a Minsk-32 computer, telegraph lines and remote terminals, and the application patterns are given.
NOTATIONAL CONVENTIONS
Matrices are upper case bold-faced letters Vectors are lower case bold-faced letters Apostrophe (') denotes matrix transposition Vectors are assumed to be columns, x j denotes the fith component of x denotes the fl-th column of a matrix B D(x) denotes diagonal matrix with a vector x on its principal diagonal ec is the unit c-vector I is the unit matrix of appropriate dimensions and ~ denote the measured and estimated values of g respectively m~ and s~ are the estimates of the mean and variance of y~ Pr [.] and E[.] denote the probability and expectation respectively y~Nc(.) means that y has c-dimensional gaussian distribution *