New approach to adaptive vibration control

The paper presents a new approach to rejection of sinusoidal disturbances acting at the output of a discrete-time linear stable plant with unknown dynamics. It is assumed that frequency of the sinusoidal disturbance is known, and that the output signal is contaminated with wideband measurement noise. It is not assumed that a reference signal, correlated with the disturbance, is available. The proposed solution combines the coefficient fixing technique, used to ?robustify? self-tuning minimum-variance regulators, with automatic adaptation gain tuning. Simulation experiments confirm that, under Gaussian assumptions, the closed-loop system converges in the mean to the optimal one.