Some Statistical Aspects of Adaptive Optimization and Control

SUMMARY It is often necessary to adjust some variable X, such as the concentration of consecutive batches of a product, to keep X close to a specified target value. A second more complicated problem occurs when the independent variables X in a response function η(X) are to be adjusted so that the derivatives ∂η/∂X are kept close to a target value zero, thus maximizing or minimizing and the paper is devoted mainly to the estimation from past data of the “best” adjustments to be applied in the first problem.