The Created Response Surface Technique for Optimizing Nonlinear, Restrained Systems

Abstract

A different approach to the general problem of optimization of nonlinear, restrained systems is presented. This approach, called the Created Response Surface Technique, is based, essentially, on steepest ascents up a succession of created response surfaces within the solution space. The most important characteristic of the approach is that it automatically avoids restraint boundary violations during the optimization. This article discusses application to fully developed steady-state mathematical models. By the use of appropriate experimental designs, the method could be used for the characterization and optimization of mathematically incomplete, nonlinear, restrained systems. In addition, it seems possible that the Created Response Surface concept could be applied to attain dynamic process control in certain nonlinear, restrained control situations. However, the mathematical implications of the new approach must be studied further.