Conditional optimization of nonlinear adaptive control systems

A design algorithm for adaptive control of systems described by nonlinear integral operator equations is considered. Kulikowski's original approach is extended to include bounded input functions. The limited range of performance criteria considered previously is similarly extended making use of the concepts of nonlinear functional analysis. The plant operator is assumed to be only partially known, and the optimization problem is formulated as a conditional-minimization problem. The solution is obtained in the form of an iteration and two such iteration techniques are described. The first one is based on the principle of contraction mapping; the second on Newton's modified method. The identification procedure is briefly mentioned and an analog implementation scheme is presented.