Self-Optimizing Adaptive Vibration Controller

This 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 the frequency of the sinusoidal disturbance is known, and that the output signal is contaminated with wideband measurement noise. The proposed controller, called SONIC (self-optimizing narrowband interference canceller), combines the coefficient fixing technique, used to "robustify" self-tuning minimum-variance regulators, with automatic adaptation gain tuning. Both theoretical analysis and computer simulations confirm that, under Gaussian assumptions, the closed-loop system converges (locally) in mean to the optimal solution.