Abstract:Discussed are the adaptive control of vibration of systems that are excited by forces of periodically varying frequencies. The adaptive control is realized on the basis of tracking of time-varying frequencies and a method for online frequency estimation,filtering and control is proposed. Based on the principles of subspace identification, the time-varying frequencies are first estimated from the recursively computed autocorrelation of measured signals. Then a group of bandpass filters, the center frequencies of which are equal to the estimated ones, are given to track and filter signal components. Finally, the controller is synthesized on the LMS and constructed by independent parallel control units that cancel vibrations corresponding to those components. Given as well are the simulation and experimental results that demonstrate that the proposed method can obtain 10-25dB attenuation in vibration.