Transfer-function interpretation of a new all-linear, constant-coefficient adaptive controller

Abstract

In a series of previous papers, the author introduced an approach to adaptive control based on the ideas of disturbance-accommodating control (DAC). This approach leads to a class of adaptive controllers that, in many cases, are completely linear and time-invariant. A representative example of one of these all-linear, time-invariant adaptive controllers is analytically examined from the classical transfer function viewpoint. This analysis reveals a unique mathematical structure of the controller's transfer function, which provides a simple explanation for the controller's remarkable adaptive capabilities.<>