Adaptation Algorithms in Finite form for Nonlinear Dynamic Objects

A class of adaptation algorithms for adaptive control of nonlinear dynamic objects of a class is introduced. Implementation of algorithms without the need for direct measurements of the first time derivatives is investigated and sufficient conditions for the existence of such algorithms are formulated. For a class of nonlinear objects and formulated adaptive control aim, examples are given to illustrate the realization of adaptation algorithms. These algorithms are compared with the traditional gradient algorithms.