An LTI/LTV Decomposition of Adaptive Feedforward Systems with Sinusoidal Regressors

Abstract

It is shown that a large class of adaptive feedforward controllers having a sinusoidal regressor (i.e., a regressor comprised exclusively of sinusoidal signals), can be written as the parallel connection of a purely linear time-invariant (LTI) subsystem and a linear time-varying (LTV) subsystem.