Optimization of non-linear adaptive processes

Abstract

A design algorithm for adaptive control of systems described by non-linear integral or differential operator equations is considered. Kulikowski's original technique is extended to include bounded input, functions and the limited range of performance criteria considered previously is similarly extended through the use of non-linear functional analysis. The plant operator is assumed to be only partially known. and the optimization problem is formulated as a conditional-minimization problem. Essential plant characteristics arc identified and the solution is obtained in the form of an iteration. Techniques for the iterative solution of non-linear operator equations are included in the overall implementation scheme. The adaptive control of n continuous stirred tank reactor is presented as an example.