Adaptive Cancellation of a Sinusoidal Disturbance with Rapidly Varying Frequency Using an Augmented Error Algorith

This paper considers a compensator for a sinusoidal disturbance with known but rapidly varying frequency. The compensator is obtained as an adaptive feedforward cancellation algorithm using an augmented error. The system is shown to be Lyapunov stable and equivalent to a linear time-varying controller that includes an internal model of the disturbance. The stability and robustness properties of the augmented error algorithm are validated by simulation results