A new nonlinear system control method using second order derivatives of universal learning network

Abstract

Universal learning networks (ULNs) have been proposed, which are a super set of any kinds of supervised learning networks. One of the important features of the ULNs is that the ULNs have a systematic algorithm for calculating higher order derivatives of the criterion function with respect to parameters. Both robust control and chaos control methods using the second order derivatives of the ULNs have also been proposed. In this paper, a new control design method of the nonlinear systems is proposed, which is an extension of the above robust control method in terms of the stability as well as the quick response of the systems.