Transfer-function tracking and adaptive control systems

Abstract

This paper describes a system for determining the parameters of a transfer function of the form: a constant divided by a polynomial in the Laplacian variable <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">s</tex> . The system is described in detail for a polynomial of second order, but may be extended to polynomials of any order. The system may be realized in terms of ordinary analog computer components. It presents the information in a form which may be readily inserted into a controller for realization of a general type of adaptive control system.