Youla parameterized adaptive vibration suppression with adaptive notch filter for unknown multiple narrow band disturbances

The vibration caused by the multiple narrow band disturbances exists widely in the mechanical systems. In this paper, a Youla parameterized adaptive control approach is introduced for the rejection of unknown multiple narrow band disturbances. The adaptive notch filter weighted Q (Youla) parameter is adopted to the online internal model principle-based regulator, so that the disturbances can be fully attenuated and the robustness of the closed-loop system is improved. A central controller is first designed to obtain the desired baseline loop shape. Then, the controller is augmented by a notch filter weighted Q parameter to construct a series of stable controllers and the Q parameter in the stable controllers is tuned online to obtain the desired controller. The adaptive control method is applied in a data storage system to attenuate the flying height vibration and the experimental results illustrate the effectiveness of the proposed approach in rejecting unknown multiple narrow band disturbances.